
Time bar (total: 9.7s)
| 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)
| 624.0ms | 8 256× | 0 | valid |
ival-mult: 241.0ms (60.9% of total)ival-sub: 62.0ms (15.7% of total)ival-div: 49.0ms (12.4% of total)ival-add: 34.0ms (8.6% of total)ival-true: 7.0ms (1.8% of total)ival-assert: 3.0ms (0.8% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 103 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b c) (*.f64 a 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 b c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a d) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 58 | 0 |
| ↳ | (*.f64 b c) | overflow | 42 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 70 | |
| ↳ | (*.f64 a d) | overflow | 34 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 109 | |
| ↳ | (*.f64 c c) | overflow | 64 | |
| ↳ | (*.f64 d d) | overflow | 62 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 26 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 109 | |
| ↳ | (*.f64 c c) | overflow | 64 | |
| ↳ | (*.f64 d d) | overflow | 62 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 12 | 0 |
| ↳ | (*.f64 b c) | overflow | 42 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 70 | |
| ↳ | (*.f64 a d) | overflow | 34 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 4 | 0 |
| ↳ | (*.f64 b c) | underflow | 29 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 5 | |
| ↳ | (*.f64 a d) | underflow | 26 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 2 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 10 | |
| ↳ | (*.f64 c c) | underflow | 61 | |
| ↳ | (*.f64 d d) | underflow | 56 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b c) | overflow | 42 | |
| ↳ | (*.f64 a d) | overflow | 34 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 1 | 0 |
| ↳ | (*.f64 b c) | underflow | 29 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 5 | |
| ↳ | (*.f64 a d) | underflow | 26 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 10 | |
| ↳ | (*.f64 c c) | underflow | 61 | |
| ↳ | (*.f64 d d) | underflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 103 | 0 |
| - | 0 | 153 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 103 | 0 | 0 |
| - | 0 | 0 | 153 |
| number | freq |
|---|---|
| 0 | 153 |
| 1 | 101 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 126.0ms | 512× | 0 | valid |
Compiled 132 to 48 computations (63.6% saved)
ival-mult: 13.0ms (62.9% of total)ival-div: 3.0ms (14.5% of total)ival-sub: 2.0ms (9.7% of total)ival-add: 2.0ms (9.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.8% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a 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 b c) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
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 | 100.0% | (*.f64 b c) |
| ✓ | accuracy | 100.0% | (*.f64 a d) |
| ✓ | accuracy | 99.2% | (-.f64 (*.f64 b c) (*.f64 a d)) |
| ✓ | accuracy | 61.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 32.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (58.7% of total)ival-div: 2.0ms (19.6% of total)ival-sub: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 c c) (*.f64 d d))> |
#<alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))> |
#<alt (-.f64 (*.f64 b c) (*.f64 a d))> |
#<alt (*.f64 b c)> |
#<alt (*.f64 a d)> |
| Outputs |
|---|
#<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 (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))> |
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))> |
#<alt (/ b c)> |
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)> |
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)> |
#<alt (/ b c)> |
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (/ b c)> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)> |
#<alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))> |
#<alt (* -1 (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (* b c)> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b c)> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (* b c)> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* b c)> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<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 (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | c | @ | -inf | (+ (* c c) (* d d)) |
| 2.0ms | b | @ | inf | (* b c) |
| 1.0ms | b | @ | 0 | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | c | @ | -inf | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | b | @ | -inf | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1× | batch-egg-rewrite |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (neg.f64 (*.f64 d (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 c c)))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 c c))) (neg.f64 (*.f64 d (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64))) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c)) |
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 d d (*.f64 c c)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c))))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))) (*.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))) (fma.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))))) |
(/.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c))) (*.f64 (+.f64 c d) (-.f64 d c))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 d c)))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 1 binary64)) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 d c)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (+.f64 c d)) (-.f64 c d)) |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (*.f64 (/.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) (/.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) (fma.f64 (*.f64 c (*.f64 b (*.f64 c b))) (/.f64 (*.f64 c b) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) (/.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 d a))) (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 d a)))) (*.f64 (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (fma.f64 c b (*.f64 d a))) (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (fma.f64 c b (*.f64 d a))))) (fma.f64 (*.f64 c b) (/.f64 (*.f64 c b) (fma.f64 c b (*.f64 d a))) (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (fma.f64 c b (*.f64 d a))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))))) (*.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (fma.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a)))) (fma.f64 (*.f64 d (*.f64 a (*.f64 d a))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (*.f64 d a)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (*.f64 d a)))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a)))) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (*.f64 d a))))) |
(pow.f64 (-.f64 (*.f64 c b) (*.f64 d a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 d a)) (-.f64 (neg.f64 (*.f64 d a)) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) |
(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 d a)) (-.f64 (neg.f64 (*.f64 d a)) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) |
(*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 c b (*.f64 d a)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 d a) (*.f64 c b))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (-.f64 (*.f64 d a) (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c b (*.f64 d a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (fma.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (fma.f64 (*.f64 c b) (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 (*.f64 d a) (*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))))) (fma.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) |
(*.f64 c b) |
(*.f64 b c) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d a))) |
(neg.f64 (neg.f64 (*.f64 d a))) |
(*.f64 d a) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 a d) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 #s(literal 1 binary64) (*.f64 d a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d a))) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
| 1× | egg-herbie |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* 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) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(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)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (*.f64 d d) (fma.f64 d (/.f64 a (pow.f64 c #s(literal 4 binary64))) (/.f64 (neg.f64 b) (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
Compiled 24 381 to 1 313 computations (94.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 13 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 634 | 13 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 57.9% | (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 61.5% | (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| 56.4% | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) | |
| 49.6% | (/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) | |
| 36.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) | |
| 34.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) | |
| ▶ | 49.4% | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
| ▶ | 36.4% | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 39.4% | (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) | |
| ▶ | 41.5% | (/.f64 b c) |
| 43.7% | (/.f64 a (neg.f64 d)) | |
| ▶ | 60.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
| 60.7% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
Compiled 420 to 238 computations (43.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
| ✓ | cost-diff | 0 | (*.f64 d a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 d a) c) |
| ✓ | cost-diff | 0 | (-.f64 b (/.f64 (*.f64 d a) c)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (*.f64 d a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| ✓ | cost-diff | 0 | (/.f64 b c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 d (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (neg.f64 a) |
| ✓ | cost-diff | 1408 | (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| 1 704× | lower-fma.f32 |
| 1 700× | lower-fma.f64 |
| 1 160× | lower-*.f32 |
| 1 154× | lower-*.f64 |
| 934× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 180 |
| 0 | 41 | 185 |
| 1 | 79 | 185 |
| 2 | 160 | 185 |
| 3 | 334 | 171 |
| 4 | 698 | 171 |
| 5 | 1136 | 171 |
| 6 | 2470 | 171 |
| 7 | 3565 | 171 |
| 8 | 4058 | 171 |
| 9 | 4170 | 171 |
| 10 | 4252 | 171 |
| 11 | 4322 | 171 |
| 12 | 4323 | 171 |
| 13 | 4323 | 171 |
| 14 | 4323 | 171 |
| 0 | 4323 | 171 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
b |
(/.f64 b c) |
b |
c |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
b |
(/.f64 (*.f64 d a) c) |
(*.f64 d a) |
d |
a |
c |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(*.f64 c b) |
b |
(*.f64 d a) |
a |
| Outputs |
|---|
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
b |
(/.f64 b c) |
b |
c |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (fma.f64 a (/.f64 d (neg.f64 c)) b) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(fma.f64 a (/.f64 d (neg.f64 c)) b) |
b |
(/.f64 (*.f64 d a) c) |
(/.f64 (*.f64 a d) c) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
c |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 a d))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(-.f64 (*.f64 c b) (*.f64 a d)) |
(*.f64 c b) |
b |
(*.f64 d a) |
(*.f64 a d) |
a |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 c b) |
| ✓ | accuracy | 99.2% | (-.f64 (*.f64 c b) (*.f64 d a)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
| ✓ | accuracy | 61.7% | (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
| ✓ | accuracy | 100.0% | (-.f64 b (/.f64 (*.f64 d a) c)) |
| ✓ | accuracy | 100.0% | (*.f64 d a) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
| ✓ | accuracy | 90.0% | (/.f64 (*.f64 d a) c) |
| ✓ | accuracy | 100.0% | (*.f64 d a) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (neg.f64 (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 73.8% | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 98.1% | (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| ✓ | accuracy | 72.3% | (/.f64 d (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 70.9% | (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
| 53.0ms | 256× | 0 | valid |
Compiled 194 to 26 computations (86.6% saved)
ival-div: 12.0ms (33.8% of total)ival-mult: 8.0ms (22.5% of total)ival-neg: 7.0ms (19.7% of total)ival-sub: 6.0ms (16.9% of total)ival-add: 2.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))> |
#<alt (neg.f64 a)> |
#<alt (/.f64 d (fma.f64 d d (*.f64 c c)))> |
#<alt (fma.f64 d d (*.f64 c c))> |
#<alt (/.f64 b c)> |
#<alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))> |
#<alt (*.f64 d a)> |
#<alt (neg.f64 (fma.f64 d d (*.f64 c c)))> |
#<alt (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)> |
#<alt (-.f64 b (/.f64 (*.f64 d a) c))> |
#<alt (/.f64 (*.f64 d a) c)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))))> |
#<alt (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))> |
#<alt (*.f64 c c)> |
#<alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))> |
#<alt (-.f64 (*.f64 c b) (*.f64 d a))> |
#<alt (*.f64 c b)> |
| Outputs |
|---|
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (/ b c)> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)> |
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))> |
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))> |
#<alt (/ b c)> |
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)> |
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)> |
#<alt (/ b c)> |
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (/ d (pow c 2))> |
#<alt (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))> |
#<alt (* d (+ (* (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 d)> |
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)> |
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)> |
#<alt (/ 1 d)> |
#<alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))> |
#<alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))> |
#<alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))> |
#<alt (/ 1 d)> |
#<alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))> |
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))> |
#<alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))> |
#<alt (/ d (pow c 2))> |
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 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 (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 (/ 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 (* -1 (/ (* a d) (pow c 2)))> |
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4))))> |
#<alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4))))))> |
#<alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4))))))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d)> |
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)> |
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d))> |
#<alt (* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d))> |
#<alt (* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3)))> |
#<alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3)))))> |
#<alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3)))))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* -1 (pow c 2))> |
#<alt (- (* -1 (pow d 2)) (pow c 2))> |
#<alt (- (* -1 (pow d 2)) (pow c 2))> |
#<alt (- (* -1 (pow d 2)) (pow c 2))> |
#<alt (* -1 (pow d 2))> |
#<alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1))> |
#<alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1))> |
#<alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1))> |
#<alt (* -1 (pow d 2))> |
#<alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1))> |
#<alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1))> |
#<alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1))> |
#<alt (* -1 (pow d 2))> |
#<alt (- (* -1 (pow c 2)) (pow d 2))> |
#<alt (- (* -1 (pow c 2)) (pow d 2))> |
#<alt (- (* -1 (pow c 2)) (pow d 2))> |
#<alt (* -1 (pow c 2))> |
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#<alt (* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1))> |
#<alt (* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1))> |
#<alt (* -1 (pow c 2))> |
#<alt (* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1))> |
#<alt (* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1))> |
#<alt (* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (/ b c)> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))> |
#<alt (/ b c)> |
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#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))> |
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))> |
#<alt (/ b c)> |
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#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))> |
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))> |
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))> |
#<alt (/ b c)> |
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#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))> |
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))> |
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))> |
#<alt (* -1 (/ (* a d) (pow c 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))> |
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#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))> |
#<alt (/ b c)> |
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#<alt (/ (+ b (* -1 (/ (* a d) c))) c)> |
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#<alt (/ b c)> |
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#<alt b> |
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#<alt b> |
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#<alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))> |
#<alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))> |
#<alt b> |
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#<alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (/ (- (* b c) (* a d)) c)> |
#<alt (/ (- (* b c) (* a d)) c)> |
#<alt (/ (- (* b c) (* a d)) c)> |
#<alt b> |
#<alt (+ b (* -1 (/ (* a d) c)))> |
#<alt (+ b (* -1 (/ (* a d) c)))> |
#<alt (+ b (* -1 (/ (* a d) c)))> |
#<alt b> |
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#<alt (+ b (* -1 (/ (* a d) c)))> |
#<alt (+ b (* -1 (/ (* a d) c)))> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ b c)> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
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#<alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)> |
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#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))> |
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#<alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))> |
#<alt (/ b c)> |
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#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)> |
#<alt (/ b c)> |
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#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
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#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
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#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
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#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
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#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
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#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (/ c b)> |
#<alt (+ (/ c b) (/ (* a d) (pow b 2)))> |
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#<alt (+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))> |
#<alt (* -1 (/ d a))> |
#<alt (* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a)))> |
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#<alt (* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))> |
#<alt (* -1 (/ d a))> |
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#<alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))> |
#<alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))> |
#<alt (* -1 (/ d a))> |
#<alt (+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2))))> |
#<alt (+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))> |
#<alt (+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))> |
#<alt (/ c b)> |
#<alt (* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c))))> |
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#<alt (* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))> |
#<alt (/ c b)> |
#<alt (* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))> |
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))> |
#<alt (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))))> |
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))> |
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* b c))> |
#<alt (/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b)> |
#<alt (/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b)> |
#<alt (/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b)> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* b c))> |
#<alt (* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* b c))> |
#<alt (+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c))))> |
#<alt (+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))> |
#<alt (+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))> |
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))> |
#<alt (/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a)> |
#<alt (/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a)> |
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a)> |
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))> |
#<alt (* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a))> |
#<alt (* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))> |
#<alt (* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))> |
#<alt (/ b c)> |
#<alt (/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)> |
#<alt (/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)> |
#<alt (/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)> |
#<alt (/ b c)> |
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))> |
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))> |
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ b c)> |
#<alt (+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))> |
#<alt (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))> |
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))> |
#<alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))> |
#<alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))> |
#<alt (* -1 (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (* b c)> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* b c)> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (* b c)> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b c)> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<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)> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | (+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c)))) |
| 3.0ms | a | @ | 0 | (/ (* d a) (neg (+ (* d d) (* c c)))) |
| 3.0ms | c | @ | 0 | (/ (* d a) c) |
| 2.0ms | a | @ | inf | (/ (* d a) (neg (+ (* d d) (* c c)))) |
| 1.0ms | d | @ | inf | (/ (* c b) (+ (* d d) (* c c))) |
| 1× | batch-egg-rewrite |
| 5 398× | lower-/.f32 |
| 5 382× | lower-/.f64 |
| 4 482× | lower-*.f32 |
| 4 476× | lower-*.f64 |
| 3 640× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 135 |
| 0 | 41 | 140 |
| 1 | 175 | 126 |
| 2 | 1473 | 126 |
| 0 | 8272 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 a) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(/.f64 b c) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/.f64 (*.f64 d a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 c c) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(*.f64 c b) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(+.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(+.f64 (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (neg.f64 (*.f64 a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (neg.f64 (*.f64 a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 a d (*.f64 c b))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 a d (*.f64 c b))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a d (*.f64 c b)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a d (*.f64 c b))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 a (neg.f64 (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 d (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 a)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 c (/.f64 b (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 c (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (*.f64 a d) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 (*.f64 a d)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 b (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (*.f64 b (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a d) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) #s(literal -1 binary64)) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 a (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c b)) #s(literal -1 binary64)) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 c #s(literal 1 binary64)) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 c #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c)))))) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 a d) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64)) (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
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(/.f64 (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a (neg.f64 d) (*.f64 c b))) (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (*.f64 c b) (neg.f64 (*.f64 a d))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) (neg.f64 (fma.f64 a d (*.f64 c b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) (neg.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 a d (*.f64 c b))) (*.f64 (fma.f64 a d (*.f64 c b)) (*.f64 a (*.f64 d (*.f64 a d))))) (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a d (*.f64 c b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a (neg.f64 d) (*.f64 c b))))) (neg.f64 (neg.f64 (fma.f64 a d (*.f64 c b))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a d (*.f64 c b)) (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a d) (fma.f64 a d (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(*.f64 (*.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 a (neg.f64 d) (*.f64 c b))) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 c b)))) |
(*.f64 c b) |
(*.f64 b c) |
| 1× | egg-herbie |
| 7 758× | lower-fma.f64 |
| 7 758× | lower-fma.f32 |
| 7 200× | lower-*.f64 |
| 7 200× | lower-*.f32 |
| 3 196× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 824 | 7465 |
| 1 | 2730 | 7224 |
| 0 | 8444 | 6933 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (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 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 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)))) |
(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 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) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(* -1 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* -1 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* -1 (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ c b) |
(+ (/ c b) (/ (* a d) (pow b 2))) |
(+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(* -1 (/ d a)) |
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a))) |
(* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* -1 (/ d a)) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (/ d a)) |
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) |
(+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c)))) |
(* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(/ c b) |
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b) |
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b) |
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c)))) |
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
| Outputs |
|---|
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (-.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a))) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (-.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a))) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (-.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a))) (neg.f64 a)) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(-.f64 (/.f64 b c) (/.f64 (*.f64 d a) (*.f64 c c))) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 c (*.f64 c c))) (/.f64 a (*.f64 c c)))) (/.f64 b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 d (fma.f64 d (-.f64 (/.f64 (*.f64 d a) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 a (*.f64 c (neg.f64 c)))) (/.f64 b c)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 b (/.f64 c d) (neg.f64 a))) d) |
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(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 d a) c) b))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 d a) c) b))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 d a) b) c))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 d a) b) c))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 d a) b) c))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (fma.f64 b (/.f64 c a) (neg.f64 d))) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (fma.f64 b (/.f64 c a) (neg.f64 d))) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (fma.f64 b (/.f64 c a) (neg.f64 d))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (fma.f64 b (/.f64 c a) (neg.f64 d))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (fma.f64 b (/.f64 c a) (neg.f64 d))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (fma.f64 b (/.f64 c a) (neg.f64 d))) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
Compiled 69 343 to 3 753 computations (94.6% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 342 | 16 | 2 358 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 350 | 21 | 2 371 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| 51.7% | (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) | |
| 56.4% | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) | |
| ▶ | 56.5% | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
| 34.2% | (/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) | |
| 18.0% | (/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) | |
| ▶ | 36.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
| 52.1% | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) | |
| 17.0% | (/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) | |
| 39.4% | (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) | |
| ✓ | 41.5% | (/.f64 b c) |
| ▶ | 43.7% | (/.f64 a (neg.f64 d)) |
| 34.0% | (/.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) (/.f64 (*.f64 b b) (*.f64 d (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a)))) | |
| 39.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c))) | |
| ▶ | 43.3% | (/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
| 41.4% | (/.f64 #s(literal 1 binary64) (/.f64 c b)) | |
| ▶ | 60.7% | (*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 39.6% | (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) | |
| 41.4% | (*.f64 (/.f64 #s(literal 1 binary64) c) b) | |
| 37.1% | (*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) | |
| 38.6% | (*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c)))) |
Compiled 599 to 373 computations (37.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 c d) |
| ✓ | cost-diff | 0 | (fma.f64 b (/.f64 c d) (neg.f64 a)) |
| ✓ | cost-diff | 64 | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
| ✓ | cost-diff | 0 | (*.f64 a d) |
| ✓ | cost-diff | 0 | (*.f64 b c) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
| ✓ | cost-diff | 0 | (neg.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 d (neg.f64 a)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
| ✓ | cost-diff | 0 | (neg.f64 d) |
| ✓ | cost-diff | 0 | (/.f64 a (neg.f64 d)) |
| ✓ | cost-diff | 0 | (*.f64 c b) |
| ✓ | cost-diff | 0 | (neg.f64 d) |
| ✓ | cost-diff | 0 | (fma.f64 a (neg.f64 d) (*.f64 c b)) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 3 570× | lower-fma.f32 |
| 3 564× | lower-fma.f64 |
| 2 940× | lower-*.f32 |
| 2 928× | lower-*.f64 |
| 1 908× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 129 |
| 0 | 45 | 129 |
| 1 | 84 | 127 |
| 2 | 149 | 123 |
| 3 | 342 | 123 |
| 4 | 733 | 123 |
| 5 | 1448 | 123 |
| 6 | 3895 | 123 |
| 7 | 6065 | 123 |
| 8 | 7362 | 123 |
| 9 | 7772 | 123 |
| 0 | 8005 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
a |
(neg.f64 d) |
d |
(*.f64 c b) |
c |
b |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(/.f64 a (neg.f64 d)) |
a |
(neg.f64 d) |
d |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
#s(literal 1 binary64) |
(/.f64 d (neg.f64 a)) |
d |
(neg.f64 a) |
a |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(*.f64 d d) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
b |
(/.f64 c d) |
c |
d |
(neg.f64 a) |
a |
| Outputs |
|---|
(*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d))) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
a |
(neg.f64 d) |
d |
(*.f64 c b) |
c |
b |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) |
#s(literal 1 binary64) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
(/.f64 a (neg.f64 d)) |
a |
(neg.f64 d) |
d |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(/.f64 a (neg.f64 d)) |
#s(literal 1 binary64) |
(/.f64 d (neg.f64 a)) |
d |
(neg.f64 a) |
a |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d)) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
a |
d |
(*.f64 d d) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d)) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
b |
(/.f64 c d) |
c |
d |
(neg.f64 a) |
a |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 c d) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 98.4% | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
| ✓ | accuracy | 95.9% | (fma.f64 b (/.f64 c d) (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (*.f64 b c) |
| ✓ | accuracy | 100.0% | (*.f64 a d) |
| ✓ | accuracy | 99.2% | (-.f64 (*.f64 b c) (*.f64 a d)) |
| ✓ | accuracy | 72.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
| ✓ | accuracy | 100.0% | (/.f64 d (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
| ✓ | accuracy | 100.0% | (/.f64 a (neg.f64 d)) |
| ✓ | accuracy | 100.0% | (neg.f64 d) |
| ✓ | accuracy | 100.0% | (neg.f64 d) |
| ✓ | accuracy | 100.0% | (fma.f64 a (neg.f64 d) (*.f64 c b)) |
| ✓ | accuracy | 98.0% | (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 61.8% | (*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 46.0ms | 256× | 0 | valid |
Compiled 138 to 28 computations (79.7% saved)
ival-mult: 12.0ms (40.5% of total)ival-div: 11.0ms (37.2% of total)ival-add: 3.0ms (10.1% of total)ival-neg: 2.0ms (6.8% of total)ival-sub: 1.0ms (3.4% 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 (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))> |
#<alt (fma.f64 a (neg.f64 d) (*.f64 c b))> |
#<alt (neg.f64 d)> |
#<alt (*.f64 c b)> |
#<alt (/.f64 a (neg.f64 d))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a)))> |
#<alt (/.f64 d (neg.f64 a))> |
#<alt (neg.f64 a)> |
#<alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))> |
#<alt (-.f64 (*.f64 b c) (*.f64 a d))> |
#<alt (*.f64 b c)> |
#<alt (*.f64 a d)> |
#<alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)> |
#<alt (fma.f64 b (/.f64 c d) (neg.f64 a))> |
#<alt (/.f64 c d)> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))> |
| Outputs |
|---|
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))> |
#<alt (/ b c)> |
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))> |
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)> |
#<alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))> |
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))> |
#<alt (/ b c)> |
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)> |
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)> |
#<alt (/ b c)> |
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))> |
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))> |
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* a (+ (* -1 d) (/ (* b c) a)))> |
#<alt (* a (+ (* -1 d) (/ (* b c) a)))> |
#<alt (* a (+ (* -1 d) (/ (* b c) a)))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))> |
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))> |
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* d (+ (* -1 a) (/ (* b c) d)))> |
#<alt (* d (+ (* -1 a) (/ (* b c) d)))> |
#<alt (* d (+ (* -1 a) (/ (* b c) d)))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))> |
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))> |
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))> |
#<alt (* -1 (* a d))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* b c)> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* b c)> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* a d))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* b c)> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b c)> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<alt (* -1 d)> |
#<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 (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 (/ d a))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (* -1 (/ a d))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (* b c)> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b (+ c (* -1 (/ (* a d) b))))> |
#<alt (* b c)> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))> |
#<alt (* -1 (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (- (* b c) (* a d))> |
#<alt (* b c)> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* c (+ b (* -1 (/ (* a d) c))))> |
#<alt (* b c)> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* a (- (/ (* b c) a) d))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))> |
#<alt (* b c)> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (+ (* -1 (* a d)) (* b c))> |
#<alt (* -1 (* a d))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* d (- (/ (* b c) d) a))> |
#<alt (* -1 (* a d))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))> |
#<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 (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* a d)> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (* -1 (/ a d))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (/ (* b c) d)> |
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))> |
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))> |
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))> |
#<alt (/ (* b c) d)> |
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))> |
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))> |
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (/ (* b c) d)> |
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (/ (* b c) d)> |
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))> |
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))> |
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))> |
#<alt (/ (* b c) d)> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (/ (* b c) d)> |
#<alt (+ (* -1 a) (/ (* b c) d))> |
#<alt (+ (* -1 a) (/ (* b c) d))> |
#<alt (+ (* -1 a) (/ (* b c) d))> |
#<alt (* -1 a)> |
#<alt (* a (- (/ (* b c) (* a d)) 1))> |
#<alt (* a (- (/ (* b c) (* a d)) 1))> |
#<alt (* a (- (/ (* b c) (* a d)) 1))> |
#<alt (* -1 a)> |
#<alt (* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))> |
#<alt (* -1 (* a (+ 1 (* -1 (/ (* b c) (* a 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 (/ c d)> |
#<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 (/ 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))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | d | @ | 0 | (/ d (neg a)) |
| 3.0ms | d | @ | 0 | (/ (- (* b c) (* a d)) (* d d)) |
| 2.0ms | a | @ | 0 | (* (+ (* a (neg d)) (* c b)) (/ 1 (+ (* d d) (* c c)))) |
| 1.0ms | d | @ | -inf | (/ (+ (* b (/ c d)) (neg a)) d) |
| 1.0ms | c | @ | -inf | (/ (- (* b c) (* a d)) (* d d)) |
| 1× | batch-egg-rewrite |
| 5 968× | lower-fma.f32 |
| 5 962× | lower-fma.f64 |
| 4 280× | lower-*.f32 |
| 4 268× | lower-*.f64 |
| 3 920× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 95 |
| 0 | 45 | 93 |
| 1 | 186 | 93 |
| 2 | 1341 | 89 |
| 0 | 8754 | 89 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(neg.f64 d) |
(*.f64 c b) |
(/.f64 a (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(/.f64 d (neg.f64 a)) |
(neg.f64 a) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
(/.f64 c d) |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b))) |
(+.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d)))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d)) (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b)))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b)))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (neg.f64 (fma.f64 c b (*.f64 a d)))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (neg.f64 (fma.f64 c b (*.f64 a d)))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 c b (*.f64 a d))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 c b (*.f64 a d))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d)))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 c b (*.f64 a d))))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 c b (*.f64 a d)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c b (*.f64 a d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c b (*.f64 a d))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (neg.f64 d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b))) |
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 a (neg.f64 d)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d)))) |
(fma.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d) (*.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 c c)))) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 b (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 a d)))) |
(neg.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (/.f64 (fma.f64 c (neg.f64 b) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 a d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 a d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 c b (*.f64 a d)))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c (neg.f64 b) (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c b (*.f64 a d))) (*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c b (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b))) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 c b (*.f64 a d))) (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c (neg.f64 b) (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c b (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d)))))) (-.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b)))) (-.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 c b (*.f64 a d)))) (*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c b (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 c b (*.f64 a d))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c (neg.f64 b) (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d)))) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b))) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 c b (*.f64 a d))) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c (neg.f64 b) (*.f64 a d))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c b (*.f64 a d))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 c b (*.f64 a d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c (neg.f64 b) (*.f64 a d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c b (*.f64 a d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c b (*.f64 a d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c b) (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d)))) (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 (*.f64 c c) (*.f64 b b))) (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b)))) (fma.f64 d d (*.f64 c c))))) |
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(/.f64 (fma.f64 b a (*.f64 (/.f64 d c) (*.f64 a (neg.f64 a)))) (*.f64 (/.f64 d c) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 c b)) a (*.f64 (neg.f64 d) (*.f64 a (neg.f64 a)))) (*.f64 a (neg.f64 d))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (*.f64 (fma.f64 c (/.f64 b d) a) (*.f64 a a))) (*.f64 (fma.f64 c (/.f64 b d) a) (fma.f64 c (/.f64 b d) a))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (neg.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 d (*.f64 d d)))))) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (*.f64 b (/.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (neg.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (*.f64 b (/.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 a (*.f64 b (/.f64 c d))) (fma.f64 c (/.f64 b d) a))) (fma.f64 c (/.f64 b d) a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 a (*.f64 b (/.f64 c d))) (fma.f64 c (/.f64 b d) a))) (neg.f64 (neg.f64 (fma.f64 c (/.f64 b d) a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)))) (neg.f64 (-.f64 (neg.f64 a) (*.f64 b (/.f64 c d))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 a (*.f64 b (/.f64 c d))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 a (*.f64 b (/.f64 c d))) (-.f64 a (*.f64 b (/.f64 c d))) (*.f64 #s(literal 0 binary64) (-.f64 a (*.f64 b (/.f64 c d))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)) (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 a (*.f64 b (/.f64 c d))) (-.f64 a (*.f64 b (/.f64 c d))))) (-.f64 a (*.f64 b (/.f64 c d)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a))) (*.f64 (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)) (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (/.f64 c d)) a)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (/.f64 c d)) a)) |
(*.f64 (-.f64 (*.f64 b (/.f64 c d)) a) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 a (*.f64 b (/.f64 c d)))) |
(*.f64 (-.f64 a (*.f64 b (/.f64 c d))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (*.f64 b (/.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c d)) (*.f64 c b)) (neg.f64 (*.f64 (*.f64 c b) a))) d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 b d) a))) |
(*.f64 (fma.f64 a (*.f64 a a) (neg.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 (*.f64 c c) (*.f64 b b))) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (*.f64 b (/.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d)))))) |
(*.f64 (*.f64 (-.f64 a (*.f64 b (/.f64 c d))) (fma.f64 c (/.f64 b d) a)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (/.f64 b d) a)))) |
(*.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 c c) (*.f64 b b)) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 a) (*.f64 b (/.f64 c d))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 d))) |
(neg.f64 (/.f64 c (neg.f64 d))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d c))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64)) (neg.f64 d))) |
(/.f64 c d) |
(/.f64 #s(literal 1 binary64) (/.f64 d c)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (neg.f64 c) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c)) |
(/.f64 (neg.f64 c) (neg.f64 d)) |
(/.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64)) d) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 d)) |
(pow.f64 (/.f64 d c) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 c d)) |
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 d))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) c) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 c #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (pow.f64 (/.f64 d c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d c) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 d (*.f64 d (*.f64 c c))) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) |
(-.f64 (/.f64 (*.f64 d d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c c) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 d d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 c c)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) |
(/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d)))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) |
(*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 d d) (*.f64 d d)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.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 (+.f64 d c) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 d c) (*.f64 (+.f64 d c) (-.f64 d c)))) |
| 1× | egg-herbie |
| 8 218× | lower-fma.f64 |
| 8 218× | lower-fma.f32 |
| 4 538× | lower-*.f64 |
| 4 538× | lower-*.f32 |
| 3 730× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 4023 |
| 1 | 1016 | 3908 |
| 2 | 3052 | 3873 |
| 0 | 8178 | 3798 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* -1 (* a d)) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 (* a d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* 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) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* 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) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a 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 d) |
(/ 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)) |
(/ 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)) |
| Outputs |
|---|
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c) b) c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 d a) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 b c) d)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))))) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 c (*.f64 c a) (neg.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) d))) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
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(fma.f64 (*.f64 d d) (/.f64 (*.f64 d d) (pow.f64 c #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #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) (*.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 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) (*.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 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) (*.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) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) (*.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) (*.f64 (*.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) (*.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 (neg.f64 d) (/.f64 d (*.f64 c 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 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.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 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.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 (neg.f64 d) (/.f64 d (*.f64 c 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 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.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 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 c c)) |
Compiled 38 355 to 2 266 computations (94.1% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 657 | 6 | 1 663 |
| Fresh | 2 | 13 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 661 | 23 | 1 684 |
| Status | Accuracy | Program |
|---|---|---|
| 51.7% | (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) | |
| ▶ | 56.4% | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
| ✓ | 56.5% | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
| 34.2% | (/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) | |
| 18.0% | (/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) | |
| 22.1% | (/.f64 (/.f64 (*.f64 b c) d) d) | |
| ✓ | 36.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
| ▶ | 52.1% | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
| 17.0% | (/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) | |
| 20.5% | (/.f64 (*.f64 b c) (*.f64 d d)) | |
| ✓ | 41.5% | (/.f64 b c) |
| ✓ | 43.7% | (/.f64 a (neg.f64 d)) |
| 34.0% | (/.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) (/.f64 (*.f64 b b) (*.f64 d (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a)))) | |
| 39.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c))) | |
| ▶ | 41.4% | (/.f64 #s(literal 1 binary64) (/.f64 c b)) |
| 39.6% | (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) | |
| 41.4% | (*.f64 (/.f64 #s(literal 1 binary64) c) b) | |
| ▶ | 43.6% | (*.f64 (/.f64 #s(literal -1 binary64) d) a) |
| 39.4% | (*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 37.1% | (*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
| 38.6% | (*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c)))) | |
| 22.9% | (*.f64 c (/.f64 b (*.f64 d d))) | |
| 42.5% | (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
Compiled 579 to 362 computations (37.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 d c) |
| ✓ | cost-diff | 0 | (*.f64 a (/.f64 d c)) |
| ✓ | cost-diff | 0 | (-.f64 b (*.f64 a (/.f64 d c))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 a (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 c b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) d) |
| ✓ | cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) d) a) |
| ✓ | cost-diff | 0 | (neg.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 b d) |
| ✓ | cost-diff | 0 | (fma.f64 c (/.f64 b d) (neg.f64 a)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
| 1 808× | lower-fma.f32 |
| 1 804× | lower-fma.f64 |
| 1 344× | lower-*.f32 |
| 1 336× | lower-*.f64 |
| 732× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 115 |
| 0 | 42 | 114 |
| 1 | 74 | 114 |
| 2 | 140 | 112 |
| 3 | 266 | 112 |
| 4 | 495 | 112 |
| 5 | 877 | 112 |
| 6 | 1673 | 112 |
| 7 | 2639 | 112 |
| 8 | 3391 | 112 |
| 9 | 3568 | 112 |
| 10 | 3670 | 112 |
| 11 | 3722 | 112 |
| 12 | 3744 | 112 |
| 13 | 3838 | 112 |
| 14 | 3866 | 112 |
| 15 | 3970 | 112 |
| 16 | 3986 | 112 |
| 17 | 3986 | 112 |
| 18 | 3986 | 112 |
| 19 | 3986 | 112 |
| 20 | 3986 | 112 |
| 0 | 3986 | 112 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
c |
(/.f64 b d) |
b |
d |
(neg.f64 a) |
a |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
a |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
#s(literal 1 binary64) |
(/.f64 c b) |
c |
b |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(-.f64 b (*.f64 a (/.f64 d c))) |
b |
(*.f64 a (/.f64 d c)) |
a |
(/.f64 d c) |
d |
c |
| Outputs |
|---|
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(-.f64 (*.f64 c (/.f64 b d)) a) |
c |
(/.f64 b d) |
b |
d |
(neg.f64 a) |
a |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(/.f64 a (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
a |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 b c) |
#s(literal 1 binary64) |
(/.f64 c b) |
c |
b |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
a |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(*.f64 c c) |
c |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (fma.f64 a (/.f64 d (neg.f64 c)) b) c) |
(-.f64 b (*.f64 a (/.f64 d c))) |
(fma.f64 a (/.f64 d (neg.f64 c)) b) |
b |
(*.f64 a (/.f64 d c)) |
a |
(/.f64 d c) |
d |
c |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 d c) |
| ✓ | accuracy | 100.0% | (-.f64 b (*.f64 a (/.f64 d c))) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
| ✓ | accuracy | 92.0% | (*.f64 a (/.f64 d c)) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) |
| ✓ | accuracy | 88.6% | (/.f64 a (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 82.2% | (*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 c b)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) d) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) d) a) |
| ✓ | accuracy | 100.0% | (/.f64 b d) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 98.4% | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
| ✓ | accuracy | 95.9% | (fma.f64 c (/.f64 b d) (neg.f64 a)) |
| 52.0ms | 256× | 0 | valid |
Compiled 123 to 27 computations (78% saved)
ival-div: 14.0ms (37.9% of total)ival-mult: 9.0ms (24.4% of total)ival-add: 8.0ms (21.7% of total)ival-neg: 4.0ms (10.8% of total)ival-sub: 1.0ms (2.7% 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 c (/.f64 b d) (neg.f64 a)) d)> |
#<alt (fma.f64 c (/.f64 b d) (neg.f64 a))> |
#<alt (/.f64 b d)> |
#<alt (neg.f64 a)> |
#<alt (*.f64 (/.f64 #s(literal -1 binary64) d) a)> |
#<alt (/.f64 #s(literal -1 binary64) d)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 c b))> |
#<alt (/.f64 c b)> |
#<alt (*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d)> |
#<alt (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c))))> |
#<alt (/.f64 a (fma.f64 d d (*.f64 c c)))> |
#<alt (fma.f64 d d (*.f64 c c))> |
#<alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)> |
#<alt (-.f64 b (*.f64 a (/.f64 d c)))> |
#<alt (*.f64 a (/.f64 d c))> |
#<alt (/.f64 d c)> |
#<alt (*.f64 c c)> |
| Outputs |
|---|
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))> |
#<alt (* -1 (/ a d))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow d 2))> |
#<alt (* -1 (/ a d))> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))> |
#<alt (/ (* b c) (pow d 2))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))> |
#<alt (* -1 (/ a d))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))> |
#<alt (* -1 (/ a d))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (/ (* b c) d)> |
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (/ (* b c) d)> |
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))> |
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))> |
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (/ (* b c) d)> |
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))> |
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))> |
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))> |
#<alt (/ (* b c) d)> |
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))> |
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))> |
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))> |
#<alt (/ (* b c) d)> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)> |
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (* -1 a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (- (/ (* b c) d) a)> |
#<alt (/ (* b c) d)> |
#<alt (+ (* -1 a) (/ (* b c) d))> |
#<alt (+ (* -1 a) (/ (* b c) d))> |
#<alt (+ (* -1 a) (/ (* b c) d))> |
#<alt (* -1 a)> |
#<alt (* a (- (/ (* b c) (* a d)) 1))> |
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#<alt (/ (- (* b c) (* a d)) c)> |
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#<alt (/ (- (* b c) (* a d)) c)> |
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#<alt b> |
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#<alt (+ b (* -1 (/ (* a d) c)))> |
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#<alt (/ (* a d) c)> |
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#<alt (/ (* a d) c)> |
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#<alt (/ (* a d) c)> |
#<alt (/ (* a d) c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
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#<alt (/ d c)> |
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#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (* a (/ d c)) |
| 2.0ms | b | @ | -inf | (/ (+ (* c (/ b d)) (neg a)) d) |
| 1.0ms | a | @ | -inf | (/ a (+ (* d d) (* c c))) |
| 1.0ms | a | @ | inf | (* (neg (/ a (+ (* d d) (* c c)))) d) |
| 1.0ms | a | @ | inf | (neg (/ a (+ (* d d) (* c c)))) |
| 1× | batch-egg-rewrite |
| 7 898× | lower-fma.f32 |
| 7 894× | lower-fma.f64 |
| 5 620× | lower-*.f32 |
| 5 612× | lower-*.f64 |
| 3 076× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 98 |
| 0 | 42 | 97 |
| 1 | 157 | 95 |
| 2 | 1062 | 95 |
| 0 | 8566 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(/.f64 b d) |
(neg.f64 a) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(/.f64 #s(literal -1 binary64) d) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 c b) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(-.f64 b (*.f64 a (/.f64 d c))) |
(*.f64 a (/.f64 d c)) |
(/.f64 d c) |
(*.f64 c c) |
| Outputs |
|---|
(+.f64 (/.f64 a (neg.f64 d)) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(+.f64 (/.f64 a (neg.f64 d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(+.f64 (/.f64 (*.f64 c (/.f64 b d)) d) (/.f64 a (neg.f64 d))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d))) (/.f64 a (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (-.f64 (*.f64 c (/.f64 b d)) a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 a (*.f64 c (/.f64 b d))) d)) |
(-.f64 (/.f64 (*.f64 c (/.f64 b d)) d) (/.f64 a d)) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) d) (/.f64 (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)) d)) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 d (fma.f64 c (/.f64 b d) a))) (/.f64 (*.f64 a a) (*.f64 d (fma.f64 c (/.f64 b d) a)))) |
(fma.f64 a (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 a (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 a d) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 #s(literal -1 binary64) (/.f64 a d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) d) a) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) d) a) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) d) a (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 (/.f64 #s(literal -1 binary64) d) a (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 d)) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 (*.f64 c (/.f64 b d)) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)) (/.f64 a (neg.f64 d))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 (/.f64 a d) #s(literal -1 binary64) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 (/.f64 a d) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c (/.f64 b d)) d)) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d)))) |
(neg.f64 (/.f64 (-.f64 a (*.f64 c (/.f64 b d))) d)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 c (/.f64 b d))) d))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)))) |
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d) |
(/.f64 #s(literal -1 binary64) (/.f64 d (-.f64 a (*.f64 c (/.f64 b d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (*.f64 c (/.f64 b d)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)))) (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 c (/.f64 b d) a)) (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) d) (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 c (/.f64 b d) a) d) (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) (/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (/.f64 b d) a) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) d))) |
(/.f64 (-.f64 a (*.f64 c (/.f64 b d))) (neg.f64 d)) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) (*.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) d)) |
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) (*.f64 d (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal -1 binary64) (-.f64 a (*.f64 c (/.f64 b d))))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) (*.f64 (fma.f64 c (/.f64 b d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) (*.f64 d (fma.f64 c (/.f64 b d) a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a))))) (neg.f64 (*.f64 d (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a))))) (neg.f64 (*.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) d))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) (*.f64 a a)) (neg.f64 (*.f64 d (fma.f64 c (/.f64 b d) a)))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) (*.f64 a a)) (neg.f64 (*.f64 (fma.f64 c (/.f64 b d) a) d))) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) d) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) d) (fma.f64 c (/.f64 b d) a)) |
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 b d)) d) (*.f64 d a)) (*.f64 d d)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) d)) (neg.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) d)) (neg.f64 (fma.f64 c (/.f64 b d) a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (/.f64 b d)) d) #s(literal 3 binary64)) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (/.f64 b d)) d) (/.f64 (*.f64 c (/.f64 b d)) d) (fma.f64 (/.f64 a d) (/.f64 a d) (*.f64 (/.f64 (*.f64 c (/.f64 b d)) d) (/.f64 a d))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (/.f64 b d)) d) (/.f64 (*.f64 c (/.f64 b d)) d)) (*.f64 (/.f64 a d) (/.f64 a d))) (+.f64 (/.f64 (*.f64 c (/.f64 b d)) d) (/.f64 a d))) |
(pow.f64 (/.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 c (/.f64 b d)) a) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d) (/.f64 (fma.f64 c (/.f64 b d) a) (fma.f64 c (/.f64 b d) a))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 a (*.f64 c (/.f64 b d))) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)) |
(*.f64 (-.f64 a (*.f64 c (/.f64 b d))) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)))))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) d))) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (*.f64 c (/.f64 b d)) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 c (/.f64 b d) a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c (/.f64 b d) a) d))) |
(*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 b d) a)) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (/.f64 (-.f64 a (*.f64 c (/.f64 b d))) d) #s(literal -1 binary64)) |
(*.f64 (/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a)))) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) d) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 b d) a))) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 b d) a))) |
(*.f64 (/.f64 (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))) d) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 a (*.f64 c (/.f64 b d)))) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (*.f64 (-.f64 a (*.f64 c (/.f64 b d))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (*.f64 (-.f64 a (*.f64 c (/.f64 b d))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a (neg.f64 a))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 b d) a))) |
(+.f64 (neg.f64 a) (*.f64 c (/.f64 b d))) |
(+.f64 (*.f64 c (/.f64 b d)) (neg.f64 a)) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 c (/.f64 b d)) a)) |
(+.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a)))) |
(-.f64 (*.f64 c (/.f64 b d)) a) |
(-.f64 #s(literal 0 binary64) (-.f64 a (*.f64 c (/.f64 b d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (fma.f64 c (/.f64 b d) a)) (/.f64 (*.f64 a a) (fma.f64 c (/.f64 b d) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (+.f64 a (*.f64 c (/.f64 b d))) (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d))))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 a) (*.f64 c (/.f64 b d)))) (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 d d)) (-.f64 (neg.f64 a) (*.f64 c (/.f64 b d))))) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) d) c) (neg.f64 a)) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(fma.f64 a #s(literal -1 binary64) (*.f64 c (/.f64 b d))) |
(fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 c (/.f64 b d))) |
(fma.f64 #s(literal -1 binary64) a (*.f64 c (/.f64 b d))) |
(fma.f64 #s(literal 1 binary64) (*.f64 c (/.f64 b d)) (neg.f64 a)) |
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) d) c) (neg.f64 a)) |
(fma.f64 (*.f64 a (*.f64 a (neg.f64 a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))) (*.f64 c (/.f64 b d))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64))) |
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(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 a c) b))) |
(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 a c) b)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 d (/.f64 a c) b) (*.f64 (fma.f64 a (/.f64 d (neg.f64 c)) b) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 a c) b)))) |
(*.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 d c) (*.f64 a (fma.f64 d (/.f64 a c) b)) (*.f64 b b))))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 a c) b) (fma.f64 d (/.f64 a c) (neg.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (/.f64 a c) b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 d a) (neg.f64 c))) |
(neg.f64 (/.f64 (*.f64 d a) (neg.f64 c))) |
(/.f64 a (/.f64 c d)) |
(/.f64 (neg.f64 a) (/.f64 c (neg.f64 d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 d a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 d a)) #s(literal 1 binary64))) |
(/.f64 (*.f64 d a) c) |
(/.f64 (*.f64 d (neg.f64 a)) (neg.f64 c)) |
(pow.f64 (/.f64 c (*.f64 d a)) #s(literal -1 binary64)) |
(*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(*.f64 d (/.f64 a c)) |
(*.f64 a (/.f64 d c)) |
(*.f64 (neg.f64 a) (/.f64 d (neg.f64 c))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d a) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d a) c)) |
(*.f64 (/.f64 d c) a) |
(*.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal -1 binary64) c) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d a)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 d (neg.f64 a)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 d (neg.f64 c)) (neg.f64 a)) |
(*.f64 (/.f64 a c) d) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d (neg.f64 c))) |
(*.f64 (*.f64 (*.f64 d a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 d (neg.f64 c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 d (neg.f64 c))) |
(neg.f64 (/.f64 d (neg.f64 c))) |
(/.f64 d c) |
(/.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 d))) |
(/.f64 #s(literal 1 binary64) (/.f64 c d)) |
(/.f64 (neg.f64 d) (neg.f64 c)) |
(pow.f64 (/.f64 c d) #s(literal -1 binary64)) |
(*.f64 d (/.f64 #s(literal 1 binary64) c)) |
(*.f64 #s(literal -1 binary64) (/.f64 d (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 d c)) |
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c))) |
(pow.f64 c #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(*.f64 c c) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
| 1× | egg-herbie |
| 11 464× | lower-fma.f64 |
| 11 464× | lower-fma.f32 |
| 4 940× | lower-*.f64 |
| 4 940× | lower-*.f32 |
| 3 192× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 4511 |
| 1 | 1018 | 4286 |
| 2 | 3245 | 4227 |
| 0 | 8260 | 4124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a 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 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ -1 d) |
(/ 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) |
(/ 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) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a (pow c 2))) |
(- (/ (* a (pow d 2)) (pow c 4)) (/ a (pow c 2))) |
(- (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(- (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(* -1 (/ a (pow d 2))) |
(/ (- (/ (* a (pow c 2)) (pow d 2)) a) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) a) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6)))) a) (pow d 2)) |
(* -1 (/ a (pow d 2))) |
(/ (- (/ (* a (pow c 2)) (pow d 2)) a) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) a) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6)))) a) (pow d 2)) |
(* -1 (/ a (pow d 2))) |
(- (/ (* a (pow c 2)) (pow d 4)) (/ a (pow d 2))) |
(- (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 6))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(- (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 6))) (/ (* a (pow c 2)) (pow d 8)))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(* -1 (/ a (pow c 2))) |
(/ (- (/ (* a (pow d 2)) (pow c 2)) a) (pow c 2)) |
(/ (- (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) a) (pow c 2)) |
(/ (- (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6)))) a) (pow c 2)) |
(* -1 (/ a (pow c 2))) |
(/ (- (/ (* a (pow d 2)) (pow c 2)) a) (pow c 2)) |
(/ (- (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) a) (pow c 2)) |
(/ (- (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6)))) a) (pow c 2)) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (pow c 2)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (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 (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 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)))) |
(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)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a 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) |
(/ d c) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (* b c) (pow d 2)) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (* b c) (pow d 2)) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (* b c) (pow d 2)) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b)))) |
(/ (* b c) (pow d 2)) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b)))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b)))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b)))) |
(/ (* b c) (pow d 2)) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 d d)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 d d)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (* b c) (pow d 2)) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d))) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b))) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b))) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* a (- (/ (* b c) (* a d)) 1)) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* a (- (/ (* b c) (* a d)) 1)) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) d) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
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(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
Compiled 24 373 to 2 513 computations (89.7% saved)
26 alts after pruning (18 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 306 | 6 | 1 312 |
| Fresh | 2 | 12 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 309 | 26 | 1 335 |
| Status | Accuracy | Program |
|---|---|---|
| 50.6% | (fma.f64 (neg.f64 a) (/.f64 (/.f64 d c) c) (/.f64 b c)) | |
| 51.7% | (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c) | |
| ✓ | 56.4% | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
| ✓ | 56.5% | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
| 34.2% | (/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) | |
| 18.0% | (/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) | |
| 22.1% | (/.f64 (/.f64 (*.f64 b c) d) d) | |
| ✓ | 36.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
| ✓ | 52.1% | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
| 17.0% | (/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) | |
| 20.5% | (/.f64 (*.f64 b c) (*.f64 d d)) | |
| ✓ | 41.5% | (/.f64 b c) |
| ✓ | 43.7% | (/.f64 a (neg.f64 d)) |
| 34.0% | (/.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) (/.f64 (*.f64 b b) (*.f64 d (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a)))) | |
| 39.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c))) | |
| ✓ | 41.4% | (/.f64 #s(literal 1 binary64) (/.f64 c b)) |
| 41.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) | |
| 39.6% | (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) | |
| 41.4% | (*.f64 (/.f64 #s(literal 1 binary64) c) b) | |
| ✓ | 43.6% | (*.f64 (/.f64 #s(literal -1 binary64) d) a) |
| 39.4% | (*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) | |
| 17.8% | (*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) | |
| 38.6% | (*.f64 d (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c)))) | |
| 22.9% | (*.f64 c (/.f64 b (*.f64 d d))) | |
| 42.5% | (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) | |
| 21.5% | (*.f64 b (/.f64 c (*.f64 d d))) |
Compiled 807 to 342 computations (57.6% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c) |
(*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c))) |
(*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c)))) |
(*.f64 d (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 a) (/.f64 (/.f64 d c) c) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) (/.f64 (*.f64 b b) (*.f64 d (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a)))) |
| Outputs |
|---|
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
5 calls:
| 13.0ms | d |
| 12.0ms | b |
| 11.0ms | c |
| 11.0ms | a |
| 11.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 4 | a |
| 75.8% | 5 | b |
| 85.0% | 5 | c |
| 85.4% | 4 | d |
| 76.0% | 2 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c) |
(*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c))) |
(*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c)))) |
(*.f64 d (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 a) (/.f64 (/.f64 d c) c) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
| Outputs |
|---|
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
1 calls:
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 4 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c) |
(*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
| Outputs |
|---|
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
2 calls:
| 8.0ms | d |
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 4 | c |
| 81.8% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
| Outputs |
|---|
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
1 calls:
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 3 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
| Outputs |
|---|
(/.f64 a (neg.f64 d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(/.f64 a (neg.f64 d)) |
3 calls:
| 7.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 7.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 5 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 75.4% | 5 | c |
| 75.8% | 4 | d |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 d (neg.f64 a)) c) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
| Outputs |
|---|
(/.f64 b c) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 a (neg.f64 d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 b c) |
4 calls:
| 6.0ms | b |
| 6.0ms | c |
| 6.0ms | d |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 3 | a |
| 74.5% | 7 | c |
| 59.4% | 4 | b |
| 68.5% | 5 | d |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
| Outputs |
|---|
(/.f64 b c) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 a (neg.f64 d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 b c) |
1 calls:
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 6 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) c)) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 b c) d) d) |
(*.f64 (neg.f64 (/.f64 a (fma.f64 d d (*.f64 c c)))) d) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| Outputs |
|---|
(/.f64 b c) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 a (neg.f64 d)) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(/.f64 b c) |
1 calls:
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 5 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 b (/.f64 c (*.f64 d d))) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/.f64 (*.f64 b c) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (neg.f64 (/.f64 a (*.f64 c c))) d) |
(/.f64 (*.f64 d a) (*.f64 c (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a))) |
| Outputs |
|---|
(/.f64 b c) |
(/.f64 a (neg.f64 d)) |
(/.f64 b c) |
2 calls:
| 4.0ms | c |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 3 | d |
| 65.3% | 3 | c |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 b c) |
| Outputs |
|---|
(/.f64 b c) |
5 calls:
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 1 | b |
| 41.5% | 1 | a |
| 41.5% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 41.5% | 1 | d |
| 41.5% | 1 | c |
Compiled 39 to 27 computations (30.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.376499355692353e+90 | 1.1446134892305328e+91 |
| 14.0ms | 6.542848094081444e-101 | 9.558404290960477e-93 |
| 14.0ms | -3.2873689611935254e-25 | -1.0024980909565505e-31 |
| 24.0ms | 352× | 0 | valid |
Compiled 794 to 453 computations (42.9% saved)
ival-mult: 8.0ms (58.4% of total)ival-sub: 2.0ms (14.6% of total)ival-div: 2.0ms (14.6% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.376499355692353e+90 | 1.1446134892305328e+91 |
| 1.0ms | 6.542848094081444e-101 | 9.558404290960477e-93 |
| 1.0ms | -3.2873689611935254e-25 | -1.0024980909565505e-31 |
| 3.0ms | 48× | 0 | valid |
Compiled 716 to 453 computations (36.7% saved)
ival-mult: 1.0ms (55.3% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.9805290837462398e-36 | 2.2548737825864153e-23 |
| 1.0ms | -3.2873689611935254e-25 | -1.0024980909565505e-31 |
| 10.0ms | 160× | 0 | valid |
Compiled 554 to 360 computations (35% saved)
ival-mult: 4.0ms (65.7% of total)ival-sub: 1.0ms (16.4% of total)ival-div: 1.0ms (16.4% of total)ival-add: 1.0ms (16.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.9805290837462398e-36 | 2.2548737825864153e-23 |
| 1.0ms | -3.2873689611935254e-25 | -1.0024980909565505e-31 |
Compiled 554 to 360 computations (35% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1446134892305328e+91 | 2.83110620125657e+93 |
| 1.0ms | -3.2873689611935254e-25 | -1.0024980909565505e-31 |
| 16.0ms | -4.1797597286877373e+129 | -2.7700197588243746e+116 |
| 21.0ms | 272× | 0 | valid |
Compiled 703 to 471 computations (33% saved)
ival-mult: 7.0ms (66.2% of total)ival-div: 2.0ms (18.9% of total)ival-sub: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.4694755695723253e+127 | 3.7353695308100956e+140 |
| 38.0ms | 1.498220216880564e+45 | 8.674416206150379e+58 |
| 12.0ms | 1.231471305631422e-68 | 1.1409346322003315e-64 |
| 11.0ms | 1.2972328356957072e-218 | 2.1282840702844743e-216 |
| 14.0ms | -1.0054270163619835e-72 | -2.6640875098771814e-75 |
| 12.0ms | -1.5242812970780292e+165 | -1.6465304146874183e+162 |
| 75.0ms | 816× | 0 | valid |
Compiled 1 369 to 885 computations (35.4% saved)
ival-mult: 19.0ms (60.1% of total)ival-div: 5.0ms (15.8% of total)ival-sub: 3.0ms (9.5% of total)ival-add: 3.0ms (9.5% of total)ival-true: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4694755695723253e+127 | 3.7353695308100956e+140 |
| 15.0ms | 8.674416206150379e+58 | 1.0303010409765503e+61 |
| 12.0ms | 3.3741068266355944e-49 | 4.032926084524567e-45 |
| 1.0ms | -1.0054270163619835e-72 | -2.6640875098771814e-75 |
| 1.0ms | -1.5242812970780292e+165 | -1.6465304146874183e+162 |
| 19.0ms | 240× | 0 | valid |
Compiled 1 045 to 685 computations (34.4% saved)
ival-mult: 9.0ms (69.7% of total)ival-sub: 1.0ms (7.7% of total)ival-div: 1.0ms (7.7% of total)ival-add: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4694755695723253e+127 | 3.7353695308100956e+140 |
| 9.0ms | 2.3983207624620103e-33 | 2.7017939889046425e-32 |
| 1.0ms | -1.0054270163619835e-72 | -2.6640875098771814e-75 |
| 1.0ms | -1.5242812970780292e+165 | -1.6465304146874183e+162 |
| 6.0ms | 96× | 0 | valid |
Compiled 772 to 512 computations (33.7% saved)
ival-mult: 2.0ms (53.2% of total)ival-div: 1.0ms (26.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 8.674416206150379e+58 | 1.0303010409765503e+61 |
| 13.0ms | -1.0054270163619835e-72 | -2.6640875098771814e-75 |
| 13.0ms | 208× | 0 | valid |
Compiled 277 to 213 computations (23.1% saved)
ival-mult: 5.0ms (60.1% of total)ival-sub: 1.0ms (12% of total)ival-div: 1.0ms (12% of total)ival-add: 1.0ms (12% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 428 |
| 1 | 124 | 428 |
| 2 | 152 | 428 |
| 3 | 173 | 428 |
| 4 | 185 | 428 |
| 5 | 191 | 428 |
| 6 | 193 | 428 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 1477575232364793/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (if (<=.f64 d #s(literal 9499999999999999398903540432365557740011667761024229745909485174338174377198110484702691328 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 1477575232364793/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (if (<=.f64 d #s(literal 7400000000000000045985785673556012811367081209010569755742912460190924821671878202172112896 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))) |
(if (<=.f64 d #s(literal -599999999999999971947590696506020127725536848623596525337234062920495582613335359570413528338601807362735773337766416351232 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 d #s(literal 17000000000000000447933825475235674687007524002463198667285192754612575720480618866219679744 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (/.f64 a (neg.f64 d))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 3260287993831489/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 c #s(literal 3130277023605911/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 c #s(literal 1500000000000000053092258565332002016984039424 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 3776304404008627/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 c #s(literal 1050000000000000053900069014874710889683274970276215805444096 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal 300000000000000002656736747946704173317668121422712226709504 binary64)) (/.f64 a (neg.f64 d)) (/.f64 b c))) |
(/.f64 b c) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 1477575232364793/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (if (<=.f64 d #s(literal 9499999999999999398903540432365557740011667761024229745909485174338174377198110484702691328 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 1477575232364793/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (if (<=.f64 d #s(literal 7400000000000000045985785673556012811367081209010569755742912460190924821671878202172112896 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 1477575232364793/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (if (<=.f64 d #s(literal 7400000000000000045985785673556012811367081209010569755742912460190924821671878202172112896 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))) |
(if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 501766766966939/11150372599265311570767859136324180752990208 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))) |
(if (<=.f64 d #s(literal -599999999999999971947590696506020127725536848623596525337234062920495582613335359570413528338601807362735773337766416351232 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 d #s(literal 17000000000000000447933825475235674687007524002463198667285192754612575720480618866219679744 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (/.f64 a (neg.f64 d))))) |
(if (<=.f64 d #s(literal -599999999999999971947590696506020127725536848623596525337234062920495582613335359570413528338601807362735773337766416351232 binary64)) (neg.f64 (/.f64 a d)) (if (<=.f64 d #s(literal -6422614617176819/89202980794122492566142873090593446023921664 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 d d)) (if (<=.f64 d #s(literal 17000000000000000447933825475235674687007524002463198667285192754612575720480618866219679744 binary64)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (neg.f64 (/.f64 a d))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 3260287993831489/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 c #s(literal 3130277023605911/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 c #s(literal 1500000000000000053092258565332002016984039424 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 3260287993831489/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (neg.f64 (/.f64 a d)) (if (<=.f64 c #s(literal 3130277023605911/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 d d)) (if (<=.f64 c #s(literal 1500000000000000053092258565332002016984039424 binary64)) (*.f64 a (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 3776304404008627/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 c #s(literal 1050000000000000053900069014874710889683274970276215805444096 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 3776304404008627/1606938044258990275541962092341162602522202993782792835301376 binary64)) (neg.f64 (/.f64 a d)) (if (<=.f64 c #s(literal 1050000000000000053900069014874710889683274970276215805444096 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 c c)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -1649999999999999937410781846936756381327811054426825889452002997384062398153111337317969826883670988082503085588822682301035888058954044465743022064047611732557824 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal -2864581841720371/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (if (<=.f64 c #s(literal 7307508186654515/730750818665451459101842416358141509827966271488 binary64)) (neg.f64 (/.f64 a d)) (if (<=.f64 c #s(literal 16499999999999999612275824960594188027154805423849318217259086114748860994792633571842877781794672242612839648091700870122558185275392000 binary64)) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal 300000000000000002656736747946704173317668121422712226709504 binary64)) (/.f64 a (neg.f64 d)) (/.f64 b c))) |
(if (<=.f64 c #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 b c) (if (<=.f64 c #s(literal 300000000000000002656736747946704173317668121422712226709504 binary64)) (neg.f64 (/.f64 a d)) (/.f64 b c))) |
(/.f64 b c) |
| 8 218× | lower-fma.f64 |
| 8 218× | lower-fma.f32 |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 7 758× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 824 | 7465 |
| 1 | 2730 | 7224 |
| 0 | 8444 | 6933 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 0 | 319 | 4023 |
| 1 | 1016 | 3908 |
| 2 | 3052 | 3873 |
| 0 | 8178 | 3798 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 1356 |
| 0 | 22 | 135 |
| 0 | 41 | 140 |
| 1 | 175 | 126 |
| 2 | 1473 | 126 |
| 0 | 8272 | 126 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 872 to 393 computations (54.9% saved)
Compiled 984 to 266 computations (73% saved)
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