
Time bar (total: 8.2s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 805.0ms (87% of total)ival-add: 64.0ms (6.9% of total)ival-div: 47.0ms (5.1% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 2 210× | times-frac |
| 1 210× | div-sub |
| 1 068× | distribute-rgt-in |
| 1 028× | distribute-lft-in |
| 988× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 22 | 15 |
| 0 | 22 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 0 | - | 0 | - | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 45 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 61 | |
| ↳ | (*.f64 a c) | overflow | 33 | |
| ↳ | (*.f64 b d) | overflow | 31 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 119 | |
| ↳ | (*.f64 c c) | overflow | 61 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 37 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 119 | |
| ↳ | (*.f64 c c) | overflow | 61 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 16 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 61 | |
| ↳ | (*.f64 a c) | overflow | 33 | |
| ↳ | (*.f64 b d) | overflow | 31 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 7 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 15 | |
| ↳ | (*.f64 c c) | underflow | 66 | |
| ↳ | (*.f64 d d) | underflow | 65 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 3 | |
| ↳ | (*.f64 a c) | underflow | 23 | |
| ↳ | (*.f64 b d) | underflow | 27 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 15 | |
| ↳ | (*.f64 c c) | underflow | 66 | |
| ↳ | (*.f64 d d) | underflow | 65 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 a c) | overflow | 33 | |
| ↳ | (*.f64 b d) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 108 | 0 |
| - | 0 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 108 | 0 | 0 |
| - | 0 | 0 | 148 |
| number | freq |
|---|---|
| 0 | 148 |
| 1 | 107 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 132 to 48 computations (63.6% saved)
ival-mult: 27.0ms (77% of total)ival-add: 4.0ms (11.4% of total)ival-div: 3.0ms (8.6% 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 |
|---|---|---|
| ▶ | 60.0% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 12× | lower-*.f32 |
| 8× | lift-*.f64 |
| 8× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 22 | 45 |
| 0 | 22 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 a c (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 99.6% | (+.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | accuracy | 60.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 20.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (59.9% of total)ival-add: 2.0ms (20% of total)ival-div: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 a c) (*.f64 b d))> |
#<alt (+.f64 (*.f64 c c) (*.f64 d d))> |
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))> |
#<alt (*.f64 a c)> |
#<alt (*.f64 b d)> |
| Outputs |
|---|
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (* a c) |
| 1.0ms | a | @ | -inf | (+ (* a c) (* b d)) |
| 1.0ms | c | @ | inf | (+ (* c c) (* d d)) |
| 1.0ms | a | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 0.0ms | b | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
| 7 676× | lower-fma.f64 |
| 7 676× | lower-fma.f32 |
| 4 326× | lower-*.f64 |
| 4 326× | lower-*.f32 |
| 1 822× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1428 |
| 1 | 618 | 1418 |
| 2 | 1892 | 1394 |
| 3 | 5763 | 1392 |
| 0 | 8185 | 1262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* 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) |
| Outputs |
|---|
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* 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× | batch-egg-rewrite |
| 5 970× | lower-fma.f64 |
| 5 970× | lower-fma.f32 |
| 5 332× | lower-*.f32 |
| 5 324× | lower-*.f64 |
| 2 426× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 58 | 35 |
| 2 | 435 | 35 |
| 3 | 5073 | 35 |
| 0 | 8760 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
| Outputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 b d) (*.f64 a c)) |
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c)))) |
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b d (*.f64 a (neg.f64 c))))) |
(fma.f64 a c (*.f64 b d)) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c a (*.f64 b d)) |
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d)) |
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 b d (*.f64 a c)) |
(fma.f64 d b (*.f64 a c)) |
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 c c)) (/.f64 a (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d)) |
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c)) |
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) #s(literal 1 binary64)) (fma.f64 b d (*.f64 a (neg.f64 c)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c))))) (neg.f64 (fma.f64 b d (*.f64 a (neg.f64 c))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) (fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) (fma.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d))))) |
(exp.f64 (log.f64 (*.f64 a c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 a c) #s(literal 1 binary64)) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
(exp.f64 (log.f64 (*.f64 b d))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b d)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 b d) #s(literal 1 binary64)) |
(*.f64 b d) |
(*.f64 d b) |
(*.f64 d (exp.f64 (log.f64 b))) |
(*.f64 (exp.f64 (log.f64 b)) d) |
Compiled 17 707 to 1 042 computations (94.1% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 12 | 514 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 503 | 12 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| 36.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) | |
| 41.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) | |
| ▶ | 61.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
| 46.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) | |
| ▶ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
| 50.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) | |
| ▶ | 56.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) | |
| 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| 43.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Compiled 400 to 212 computations (47% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 b d) |
| ✓ | cost-diff | 0 | (*.f64 d d) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 d d)) |
| ✓ | cost-diff | 0 | (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
| ✓ | cost-diff | 0 | (/.f64 c d) |
| ✓ | cost-diff | 0 | (fma.f64 a (/.f64 c d) b) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 c d) b) d) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (/.f64 a c) |
| ✓ | cost-diff | 0 | (*.f64 c 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 | (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| 48× | lower-fma.f32 |
| 48× | lower-*.f32 |
| 42× | lower-*.f64 |
| 40× | lower-fma.f64 |
| 38× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 205 |
| 0 | 46 | 200 |
| 1 | 62 | 200 |
| 2 | 74 | 200 |
| 3 | 80 | 200 |
| 0 | 80 | 195 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
b |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(*.f64 a c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(*.f64 a c) |
a |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
a |
(/.f64 c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(/.f64 b d) |
b |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))) |
b |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) |
(*.f64 a c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) |
(*.f64 a c) |
a |
c |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
a |
(/.f64 c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(/.f64 b d) |
b |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 b d) |
| ✓ | accuracy | 100.0% | (*.f64 d d) |
| ✓ | accuracy | 89.4% | (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
| ✓ | accuracy | 88.7% | (/.f64 c (*.f64 d d)) |
| ✓ | accuracy | 100.0% | (/.f64 c d) |
| ✓ | accuracy | 99.6% | (/.f64 (fma.f64 a (/.f64 c d) b) d) |
| ✓ | accuracy | 95.6% | (fma.f64 a (/.f64 c d) b) |
| ✓ | accuracy | 100.0% | (fma.f64 d d (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 70.4% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 100.0% | (/.f64 a c) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 97.7% | (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| ✓ | accuracy | 70.4% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 68.9% | (/.f64 d (fma.f64 d d (*.f64 c c))) |
| 48.0ms | 256× | 0 | valid |
Compiled 218 to 27 computations (87.6% saved)
ival-div: 14.0ms (45.8% of total)ival-mult: 10.0ms (32.7% of total)ival-add: 6.0ms (19.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))> |
#<alt (/.f64 d (fma.f64 d d (*.f64 c c)))> |
#<alt (fma.f64 d d (*.f64 c c))> |
#<alt (*.f64 c c)> |
#<alt (/.f64 a c)> |
#<alt (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))> |
#<alt (*.f64 a c)> |
#<alt (/.f64 (fma.f64 a (/.f64 c d) b) d)> |
#<alt (fma.f64 a (/.f64 c d) b)> |
#<alt (/.f64 c d)> |
#<alt (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))> |
#<alt (/.f64 c (*.f64 d d))> |
#<alt (*.f64 d d)> |
#<alt (/.f64 b d)> |
| Outputs |
|---|
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ 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 (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 (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))> |
#<alt (/ a c)> |
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)> |
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))> |
#<alt (/ a c)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))> |
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))> |
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))> |
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))> |
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* a c) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (/ (+ (* a (/ c d)) b) d) |
| 2.0ms | a | @ | -inf | (/ a c) |
| 1.0ms | b | @ | 0 | (+ (* b (/ d (+ (* d d) (* c c)))) (/ (* a c) (+ (* d d) (* c c)))) |
| 1.0ms | d | @ | inf | (/ d (+ (* d d) (* c c))) |
| 1.0ms | a | @ | 0 | (+ (* b (/ d (+ (* d d) (* c c)))) (/ (* a c) (+ (* d d) (* c c)))) |
| 1× | egg-herbie |
| 9 402× | lower-fma.f64 |
| 9 402× | lower-fma.f32 |
| 5 090× | lower-*.f64 |
| 5 090× | lower-*.f32 |
| 2 700× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 3954 |
| 1 | 1183 | 3902 |
| 2 | 3562 | 3815 |
| 0 | 8490 | 3620 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ 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)))) |
(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) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(/ c (pow d 2)) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(/ 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) |
| Outputs |
|---|
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 (-.f64 a (*.f64 a (*.f64 d (/.f64 d (*.f64 c c))))) c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
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(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 d (*.f64 d b))) (/.f64 b d)) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 d (*.f64 d b))) (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 d (*.f64 d b))) (/.f64 b d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 d (*.f64 d b))) (/.f64 b d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 d (*.f64 d b))) (/.f64 b d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(/ 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× | batch-egg-rewrite |
| 5 068× | lower-/.f32 |
| 5 054× | lower-/.f64 |
| 4 666× | lower-*.f32 |
| 4 660× | lower-*.f64 |
| 3 976× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 91 |
| 0 | 35 | 91 |
| 1 | 143 | 91 |
| 2 | 1210 | 91 |
| 0 | 8361 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(/.f64 a c) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(*.f64 a c) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
(/.f64 c d) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(/.f64 c (*.f64 d d)) |
(*.f64 d d) |
(/.f64 b d) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a) (/.f64 (*.f64 b 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 a)) #s(literal -1 binary64)) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 c a) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 c a) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 c a) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 c a) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 b 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 d (*.f64 d (*.f64 d d)))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (*.f64 b 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 a (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d (*.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 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 b d) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 b d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b 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 d (*.f64 d (*.f64 d d)))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (*.f64 c a) (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 d (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 a (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 a (*.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 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) (fma.f64 (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) (+.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (*.f64 b d) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))) |
(/.f64 (fma.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 b d))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) (*.f64 b d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (*.f64 b d) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (*.f64 c a)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
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(/.f64 (+.f64 (/.f64 d b) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) (/.f64 d b))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 d b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) (/.f64 (/.f64 d b) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d b)) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) (neg.f64 (/.f64 d b)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) d (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) (*.f64 b #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) d)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 d)) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) (neg.f64 (neg.f64 b)))) (*.f64 (/.f64 (*.f64 d d) (*.f64 c a)) (neg.f64 (neg.f64 d)))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) d (*.f64 (/.f64 (*.f64 d d) c) b)) (*.f64 (/.f64 (*.f64 d d) c) d)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (neg.f64 d) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 b))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 d))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 d b) (*.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 d d) c) (/.f64 d b))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 (/.f64 d b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 d d) c) (/.f64 (/.f64 d b) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (neg.f64 (/.f64 d b)) (*.f64 (/.f64 (*.f64 d d) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 (/.f64 d b)))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) d (*.f64 (/.f64 (*.f64 d d) c) (*.f64 b #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 d d) c) d)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (neg.f64 (neg.f64 d)) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 (neg.f64 b)))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 (neg.f64 d)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) d (*.f64 (/.f64 (*.f64 d d) c) b)) (*.f64 (/.f64 (*.f64 d d) c) d)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 d) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 b))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 d))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 d b) (*.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 d d) c) (/.f64 d b))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 d b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 d d) c) (/.f64 (/.f64 d b) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 d b)) (*.f64 (/.f64 (*.f64 d d) c) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 (/.f64 d b)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) d (*.f64 (/.f64 (*.f64 d d) c) (*.f64 b #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 d d) c) d)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 (neg.f64 d)) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 (neg.f64 b)))) (*.f64 (/.f64 (*.f64 d d) c) (neg.f64 (neg.f64 d)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d)) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d) (/.f64 (*.f64 b b) (*.f64 d d)))) (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 c a)))) (neg.f64 (*.f64 d (*.f64 d d)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 (neg.f64 d) (*.f64 c a)))) (neg.f64 (neg.f64 (*.f64 d (*.f64 d d))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 d d) (*.f64 (/.f64 d b) (*.f64 c a)))) (neg.f64 (*.f64 (/.f64 d b) (*.f64 d d)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) d (*.f64 (*.f64 d d) b))) (neg.f64 (*.f64 d (*.f64 d d)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (neg.f64 d) (*.f64 (*.f64 d d) (neg.f64 b)))) (neg.f64 (neg.f64 (*.f64 d (*.f64 d d))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (/.f64 d b) (*.f64 (*.f64 d d) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 d d) (/.f64 d b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) d) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 d d))) (*.f64 c a)) (*.f64 b b)) (*.f64 d d)))) (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a (/.f64 c (*.f64 d d))) (*.f64 c a))) (*.f64 d d))) (neg.f64 (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) d))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) d) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d) (/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 d d))) (*.f64 c a)) (*.f64 b b)) (*.f64 d d))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) d) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 c (*.f64 d d))) (*.f64 c a)) (*.f64 b b)) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) c)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 d (neg.f64 d))) (/.f64 c (*.f64 d (neg.f64 d)))) |
(neg.f64 (/.f64 c (*.f64 d (neg.f64 d)))) |
(neg.f64 (/.f64 (neg.f64 c) (*.f64 d d))) |
(/.f64 c (*.f64 d d)) |
(/.f64 (/.f64 c d) d) |
(/.f64 (neg.f64 c) (*.f64 d (neg.f64 d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 c d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d d) c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (/.f64 c d)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 d (neg.f64 d)))) |
(/.f64 (neg.f64 (/.f64 c d)) (neg.f64 d)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d d)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 d (neg.f64 d))))) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (*.f64 d (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 c d))) (neg.f64 (neg.f64 d))) |
(pow.f64 (/.f64 (*.f64 d d) c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (/.f64 c d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d d) c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 d c) d) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(*.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 d (neg.f64 d)))) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) c) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 c (neg.f64 d))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d))) |
(pow.f64 d #s(literal 2 binary64)) |
(pow.f64 (*.f64 d d) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 d) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64)) |
(*.f64 d d) |
(*.f64 (neg.f64 d) (neg.f64 d)) |
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 b (neg.f64 d))) |
(neg.f64 (/.f64 b (neg.f64 d))) |
(neg.f64 (/.f64 (neg.f64 b) d)) |
(/.f64 b d) |
(/.f64 (neg.f64 b) (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d b) #s(literal 1 binary64)))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(pow.f64 (/.f64 d b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 #s(literal 1 binary64) (/.f64 b d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
Compiled 4 to 4 computations (0% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 0 | 12 | 12 |
| Status | Accuracy | Program |
|---|---|---|
| 36.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) | |
| 41.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) | |
| ✓ | 61.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
| ▶ | 46.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
| ✓ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
| ▶ | 50.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
| ✓ | 56.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| ▶ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
| ▶ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| ▶ | 43.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Compiled 329 to 174 computations (47.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
| ✓ | cost-diff | 128 | (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) |
| ✓ | cost-diff | 320 | (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
| ✓ | cost-diff | 0 | (/.f64 a c) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (/.f64 d (*.f64 c c)) |
| ✓ | cost-diff | 320 | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (/.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 d c) |
| ✓ | cost-diff | 0 | (fma.f64 b (/.f64 d c) a) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| 6 272× | lower-fma.f32 |
| 6 264× | lower-fma.f64 |
| 2 580× | lower-*.f32 |
| 2 574× | lower-*.f64 |
| 1 422× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 226 |
| 0 | 55 | 219 |
| 1 | 82 | 215 |
| 2 | 121 | 211 |
| 3 | 203 | 211 |
| 4 | 312 | 211 |
| 5 | 436 | 211 |
| 6 | 669 | 211 |
| 7 | 1066 | 211 |
| 8 | 1802 | 211 |
| 9 | 3064 | 211 |
| 10 | 4226 | 211 |
| 11 | 4689 | 211 |
| 12 | 4862 | 211 |
| 13 | 5009 | 211 |
| 14 | 5033 | 211 |
| 15 | 5035 | 211 |
| 16 | 5090 | 211 |
| 17 | 5227 | 211 |
| 18 | 5307 | 211 |
| 19 | 5307 | 211 |
| 20 | 6232 | 211 |
| 21 | 6705 | 211 |
| 22 | 6813 | 211 |
| 23 | 7081 | 211 |
| 24 | 7473 | 211 |
| 0 | 8062 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(fma.f64 b (/.f64 d c) a) |
b |
(/.f64 d c) |
d |
c |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(*.f64 b d) |
b |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
b |
(/.f64 d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(/.f64 a c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) |
a |
(/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
(fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
d |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(*.f64 d (neg.f64 a)) |
(neg.f64 a) |
c |
(*.f64 b d) |
b |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(fma.f64 b (/.f64 d c) a) |
b |
(/.f64 d c) |
d |
c |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(*.f64 b d) |
b |
d |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
b |
(/.f64 d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(/.f64 a c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) (fma.f64 a (/.f64 d (neg.f64 c)) b) a) c) |
(+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) |
(fma.f64 (/.f64 d c) (fma.f64 a (/.f64 d (neg.f64 c)) b) a) |
a |
(/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
(/.f64 (*.f64 d (fma.f64 a (/.f64 d (neg.f64 c)) b)) c) |
(fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
(*.f64 d (fma.f64 a (/.f64 d (neg.f64 c)) b)) |
d |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(*.f64 d (neg.f64 a)) |
(neg.f64 a) |
c |
(*.f64 b d) |
b |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.1% | (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
| ✓ | accuracy | 96.7% | (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
| ✓ | accuracy | 94.6% | (/.f64 (*.f64 d (neg.f64 a)) c) |
| ✓ | accuracy | 92.9% | (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
| ✓ | accuracy | 100.0% | (/.f64 a c) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 91.9% | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| ✓ | accuracy | 89.8% | (/.f64 d (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (fma.f64 d d (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 74.5% | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 100.0% | (/.f64 b d) |
| ✓ | accuracy | 100.0% | (/.f64 d c) |
| ✓ | accuracy | 98.8% | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| ✓ | accuracy | 91.1% | (fma.f64 b (/.f64 d c) a) |
| 57.0ms | 256× | 0 | valid |
Compiled 237 to 32 computations (86.5% saved)
ival-div: 18.0ms (45.1% of total)ival-mult: 14.0ms (35.1% of total)ival-add: 7.0ms (17.5% of total)ival-neg: 1.0ms (2.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 b (/.f64 d c) a) c)> |
#<alt (fma.f64 b (/.f64 d c) a)> |
#<alt (/.f64 d c)> |
#<alt (/.f64 b d)> |
#<alt (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))> |
#<alt (*.f64 b d)> |
#<alt (fma.f64 d d (*.f64 c c))> |
#<alt (*.f64 c c)> |
#<alt (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))> |
#<alt (/.f64 d (*.f64 c c))> |
#<alt (/.f64 a c)> |
#<alt (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d))> |
#<alt (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c))> |
#<alt (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)> |
#<alt (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)> |
#<alt (/.f64 (*.f64 d (neg.f64 a)) c)> |
| Outputs |
|---|
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (/ 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 (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))> |
#<alt (/ b d)> |
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)> |
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))> |
#<alt (/ b d)> |
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))> |
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))> |
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))> |
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))> |
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (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 (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 (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (* b d)> |
#<alt (* d (+ b (* -1 (/ (* a d) c))))> |
#<alt (* d (+ b (* -1 (/ (* a d) c))))> |
#<alt (* d (+ b (* -1 (/ (* a d) c))))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* b d)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)> |
#<alt (* b d)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* b d)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))> |
#<alt (/ (* b d) c)> |
#<alt (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))> |
#<alt (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))> |
#<alt (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))> |
#<alt (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2)))))> |
#<alt (* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))> |
#<alt (* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))> |
#<alt (* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))> |
#<alt (* -1 (* a (- (/ (pow d 2) (pow c 2)) 1)))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))> |
#<alt (+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d)))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)))> |
#<alt (+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)))> |
#<alt (+ a (* -1 (/ (* a (pow d 2)) (pow c 2))))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* -1 (/ (* a (- (/ (pow d 2) (pow c 2)) 1)) c))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))> |
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))> |
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (/ (* b d) c)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)> |
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)> |
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))> |
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))> |
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | a | @ | inf | (+ (* b (/ d c)) a) |
| 6.0ms | d | @ | inf | (/ (* b d) (+ (* d d) (* c c))) |
| 1.0ms | b | @ | -inf | (/ (+ (* b (/ d c)) a) c) |
| 1.0ms | c | @ | 0 | (/ (* d (neg a)) c) |
| 1.0ms | c | @ | -inf | (/ (+ (* b (/ d c)) a) c) |
| 1× | egg-herbie |
| 10 066× | lower-fma.f64 |
| 10 066× | lower-fma.f32 |
| 4 798× | lower-*.f64 |
| 4 798× | lower-*.f32 |
| 3 096× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 342 | 5632 |
| 1 | 1098 | 5412 |
| 2 | 3522 | 5187 |
| 0 | 8383 | 5054 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ 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) |
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a |
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a |
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a |
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(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
| Outputs |
|---|
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a c)) #s(literal 1 binary64))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a c)) #s(literal 1 binary64))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a c)) #s(literal 1 binary64))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(-.f64 (/.f64 (*.f64 a (*.f64 b d)) (*.f64 a c)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(-.f64 (/.f64 (*.f64 a (*.f64 b d)) (*.f64 a c)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(-.f64 (/.f64 (*.f64 a (*.f64 b d)) (*.f64 a c)) (neg.f64 a)) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ 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) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d)) (*.f64 c c)) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(*.f64 d (fma.f64 (*.f64 d d) (fma.f64 b (*.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (neg.f64 (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(*.f64 d (fma.f64 d (*.f64 d (-.f64 (neg.f64 (*.f64 (*.f64 d d) (*.f64 b (fma.f64 d (/.f64 d (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 6 binary64))))))) (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c)))) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (*.f64 c (neg.f64 c)) (/.f64 b (*.f64 d d)) b) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 d d))) b) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 b (*.f64 b (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 d #s(literal 4 binary64)))))) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 (*.f64 c (neg.f64 c)) (/.f64 b (*.f64 d d)) b) d) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 d d))) b) d) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/.f64 (-.f64 b (*.f64 b (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 d #s(literal 4 binary64)))))) d) |
(/ b d) |
(/.f64 b d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(/.f64 (fma.f64 (*.f64 c (neg.f64 c)) (/.f64 b (*.f64 d d)) b) d) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64))) (/.f64 b (neg.f64 (*.f64 d (*.f64 d d))))) (/.f64 b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (-.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) (/.f64 (*.f64 c (*.f64 c b)) (pow.f64 d #s(literal 7 binary64)))) (/.f64 b (neg.f64 (*.f64 d (*.f64 d d))))) (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/.f64 (*.f64 b (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d)) (*.f64 c c)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/.f64 (*.f64 b (+.f64 d (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/.f64 (*.f64 b (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d)) (*.f64 c c)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/.f64 (*.f64 b (+.f64 d (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c)) |
(* 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) |
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(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(/.f64 (*.f64 d (fma.f64 a (/.f64 d (neg.f64 c)) b)) c) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(*.f64 b (-.f64 (/.f64 d c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c b))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(*.f64 b (-.f64 (/.f64 d c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c b))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(*.f64 b (-.f64 (/.f64 d c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c b))))) |
(/ (* b d) c) |
(*.f64 b (/.f64 d c)) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(*.f64 b (-.f64 (/.f64 d c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c b))))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(*.f64 b (-.f64 (/.f64 d c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c b))))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(*.f64 b (-.f64 (/.f64 d c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c b))))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
| 1× | batch-egg-rewrite |
| 4 780× | lower-/.f32 |
| 4 762× | lower-/.f64 |
| 4 596× | lower-fma.f32 |
| 4 588× | lower-fma.f64 |
| 4 456× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 122 |
| 0 | 44 | 122 |
| 1 | 182 | 118 |
| 2 | 1437 | 118 |
| 0 | 8171 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(fma.f64 b (/.f64 d c) a) |
(/.f64 d c) |
(/.f64 b d) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(*.f64 b d) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/.f64 d (*.f64 c c)) |
(/.f64 a c) |
(fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
(+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 (fma.f64 b (/.f64 d c) a) (neg.f64 c))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)))) |
(neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (neg.f64 c))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c)) |
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c)) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) c)) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) (neg.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a))) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) c)) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c)) (-.f64 (*.f64 b (/.f64 d c)) a)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) c))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (-.f64 (*.f64 b (/.f64 d c)) a))) |
(pow.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (-.f64 (*.f64 b (/.f64 d c)) a))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 b (/.f64 d c) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (/.f64 d c)) a))) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c) (/.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))) |
(+.f64 a (*.f64 b (/.f64 d c))) |
(+.f64 (*.f64 b (/.f64 d c)) a) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 b (/.f64 d c)))) (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 a (*.f64 b (/.f64 d c))))) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) b) a) |
(fma.f64 (/.f64 d c) b a) |
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) c) a) |
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 d c)) a) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 #s(literal 1 binary64) d)) a) |
(fma.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) d)) a) |
(fma.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 b c) a) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) c) a) |
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c) a) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a) |
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) |
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (fma.f64 a a (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 d c)) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (-.f64 (*.f64 b (/.f64 d c)) a)) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))) (neg.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 d c)) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 b (/.f64 d c)) a))) |
(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (-.f64 a (*.f64 b (/.f64 d c)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (*.f64 a a))) (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (-.f64 (*.f64 b (/.f64 d c)) a))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (*.f64 b (/.f64 d c)) a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (neg.f64 (-.f64 a (*.f64 b (/.f64 d c))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)) (*.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)))))) |
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d (neg.f64 a))) c)) (/.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 d (*.f64 d a))) (*.f64 c c))))) |
(*.f64 (pow.f64 (/.f64 c (*.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) (*.f64 d (-.f64 (/.f64 (*.f64 d (neg.f64 a)) c) b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d (-.f64 (/.f64 (*.f64 d (neg.f64 a)) c) b)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d (neg.f64 a))) c)) (/.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 d (*.f64 d a))) (*.f64 c c))) c) (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d (neg.f64 a))) c)) (/.f64 (*.f64 (*.f64 d (*.f64 d a)) (*.f64 d (*.f64 d a))) (*.f64 c c))))) |
(*.f64 (/.f64 (*.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) (*.f64 d (-.f64 (/.f64 (*.f64 d (neg.f64 a)) c) b))) d) (/.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 (/.f64 (*.f64 d (neg.f64 a)) c) b))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 c (*.f64 d a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 d a) c)) |
(neg.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) c))) |
(neg.f64 (/.f64 (*.f64 d a) c)) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(/.f64 (*.f64 d (neg.f64 a)) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 d a) (neg.f64 c)) |
(/.f64 (*.f64 d a) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (*.f64 d a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 c (*.f64 d a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (/.f64 c (*.f64 d a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 d a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 c (*.f64 d a))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64))) (neg.f64 c)) |
(pow.f64 (neg.f64 (/.f64 c (*.f64 d a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (/.f64 c (*.f64 d a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 d (/.f64 (neg.f64 a) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(*.f64 (*.f64 d (neg.f64 a)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 d a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(*.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 (neg.f64 a) c)) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (neg.f64 d) c)) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 a c)) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 (neg.f64 a)) c)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64)) (/.f64 d c)) |
Compiled 4 to 4 computations (0% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 0 | 12 | 12 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
| ▶ | 41.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) |
| ✓ | 61.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
| ✓ | 46.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
| ✓ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
| ✓ | 50.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
| ✓ | 56.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| ✓ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
| ✓ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 43.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Compiled 200 to 106 computations (47% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 c c (*.f64 d d)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) |
| ✓ | cost-diff | 3008 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (/.f64 b (*.f64 c c)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) |
| ✓ | cost-diff | 640 | (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
| 11 702× | lower-fma.f32 |
| 11 696× | lower-fma.f64 |
| 4 218× | lower-*.f32 |
| 4 202× | lower-*.f64 |
| 2 168× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 217 |
| 0 | 50 | 187 |
| 1 | 88 | 187 |
| 2 | 183 | 185 |
| 3 | 723 | 185 |
| 4 | 2766 | 184 |
| 5 | 6092 | 184 |
| 0 | 8254 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
d |
(-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) |
(/.f64 b (*.f64 c c)) |
b |
(*.f64 c c) |
c |
(*.f64 a (/.f64 d (*.f64 c (*.f64 c c)))) |
a |
(/.f64 d (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(/.f64 a c) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) |
(fma.f64 a c (*.f64 b d)) |
a |
(*.f64 b d) |
b |
(-.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(fma.f64 (/.f64 d (*.f64 c c)) (fma.f64 a (/.f64 d (neg.f64 c)) b) (/.f64 a c)) |
d |
(-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(/.f64 b (*.f64 c c)) |
b |
(*.f64 c c) |
c |
(*.f64 a (/.f64 d (*.f64 c (*.f64 c c)))) |
(/.f64 (*.f64 a d) (*.f64 c (*.f64 c c))) |
a |
(/.f64 d (*.f64 c (*.f64 c c))) |
(*.f64 c (*.f64 c c)) |
(/.f64 a c) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
d |
(*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) |
(fma.f64 a c (*.f64 b d)) |
a |
(*.f64 b d) |
b |
(-.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (-.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | accuracy | 98.1% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) |
| ✓ | accuracy | 65.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | accuracy | 52.7% | (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | accuracy | 90.9% | (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) |
| ✓ | accuracy | 89.3% | (/.f64 d (*.f64 c (*.f64 c c))) |
| ✓ | accuracy | 86.9% | (/.f64 b (*.f64 c c)) |
| ✓ | accuracy | 85.9% | (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
| 48.0ms | 256× | 0 | valid |
Compiled 231 to 28 computations (87.9% saved)
ival-mult: 13.0ms (45.3% of total)ival-div: 10.0ms (34.8% of total)ival-add: 3.0ms (10.5% of total)ival-sub: 2.0ms (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 (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))> |
#<alt (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c)))))> |
#<alt (/.f64 b (*.f64 c c))> |
#<alt (*.f64 c c)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))))> |
#<alt (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))> |
#<alt (fma.f64 c c (*.f64 d d))> |
#<alt (/.f64 d (*.f64 c (*.f64 c c)))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))> |
#<alt (-.f64 (*.f64 a c) (*.f64 b d))> |
| Outputs |
|---|
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (* (pow d 2) (- (/ b (* (pow c 2) d)) (/ a (pow c 3))))> |
#<alt (* (pow d 2) (- (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))) (/ a (pow c 3))))> |
#<alt (* (pow d 2) (- (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))) (/ a (pow c 3))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* -1 (* a (- (/ (pow d 2) (pow c 3)) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (/ (* a d) (pow c 3)))> |
#<alt (- (/ b (pow c 2)) (/ (* a d) (pow c 3)))> |
#<alt (- (/ b (pow c 2)) (/ (* a d) (pow c 3)))> |
#<alt (- (/ b (pow c 2)) (/ (* a d) (pow c 3)))> |
#<alt (/ b (pow c 2))> |
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#<alt (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2))))> |
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#<alt (+ (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) (* a (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (pow c 2)) (+ (pow c 2) (pow d 2))) (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))))))> |
#<alt (+ (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) (* a (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (pow c 2)) (+ (pow c 2) (pow d 2))) (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2)))> |
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#<alt (* (pow a 2) (+ (* -1 (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (+ (pow c 2) (pow d 2))))) (+ (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2)))) (/ (pow c 2) (+ (pow c 2) (pow d 2)))))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (+ (pow c 2) (pow d 2))))) (+ (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2)))) (/ (pow c 2) (+ (pow c 2) (pow d 2)))))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2)))> |
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#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* b (* c d)) (+ (pow c 2) (pow d 2))) (/ (* (pow b 2) (pow d 2)) (* a (+ (pow c 2) (pow d 2)))))) a)) (/ (pow c 2) (+ (pow c 2) (pow d 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* b (* c d)) (+ (pow c 2) (pow d 2))) (/ (* (pow b 2) (pow d 2)) (* a (+ (pow c 2) (pow d 2)))))) a)) (/ (pow c 2) (+ (pow c 2) (pow d 2)))))> |
#<alt (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2)))> |
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#<alt (+ (* b (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* b (pow d 2)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))))) (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (* b (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* b (pow d 2)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))))) (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2))))> |
#<alt (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2)))))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2)))) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (+ (pow c 2) (pow d 2))))))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2)))) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) b)) (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2))))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (+ (pow c 2) (pow d 2))))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2))))) b)) (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2))))))> |
#<alt (* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (+ (pow c 2) (pow d 2))))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2))))) b)) (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2))))))> |
#<alt (/ -1 (pow b 2))> |
#<alt (- (* -1 (* c (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d))))) (/ 1 (pow b 2)))> |
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#<alt (- (* c (- (* c (- (* -1 (* c (+ (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (/ 1 (* (pow b 2) (pow d 2))) (+ (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d)))) (* (pow b 2) (pow d 2))) (/ (pow a 2) (* (pow b 4) (pow d 2)))))) (* (pow b 2) (pow d 2))) (/ (* (pow a 2) (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d)))) (* (pow b 2) (pow d 2)))))) (+ (/ 1 (* (pow b 2) (pow d 2))) (+ (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d)))) (* (pow b 2) (pow d 2))) (/ (pow a 2) (* (pow b 4) (pow d 2))))))) (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d))))) (/ 1 (pow b 2)))> |
#<alt (/ 1 (pow a 2))> |
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#<alt (- (+ (* -1 (/ (+ (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (- (/ (pow d 2) (pow a 2)) (+ (* -1 (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) (pow a 2))) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 4)))))) (pow a 2)) (/ (* (pow b 2) (* (pow d 2) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3))))) (pow a 2))) (pow c 3))) (+ (/ 1 (pow a 2)) (/ (pow d 2) (* (pow a 2) (pow c 2))))) (+ (* -1 (/ (* b d) (* (pow a 3) c))) (+ (* -1 (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) (* (pow a 2) (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 4) (pow c 2)))) (/ (* b d) (* (pow a 3) c))))))> |
#<alt (/ 1 (pow a 2))> |
#<alt (+ (* -1 (/ (* b d) (* (pow a 3) c))) (+ (/ 1 (pow a 2)) (/ (* b d) (* (pow a 3) c))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (pow d 2) (pow a 2)) (+ (* -1 (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) (pow a 2))) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 4))))) c)) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) c)) (/ 1 (pow a 2)))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (- (/ (pow d 2) (pow a 2)) (+ (* -1 (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) (pow a 2))) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 4)))))) (* (pow a 2) c)) (+ (/ (* (pow b 2) (* (pow d 2) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3))))) (* (pow a 2) c)) (/ (pow d 2) (pow a 2)))) (+ (* -1 (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) (pow a 2))) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 4))))) c)) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) c)) (/ 1 (pow a 2)))> |
#<alt (/ 1 (pow a 2))> |
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#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 4))) (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow c 6))))) (pow c 2))) (/ (* (pow b 2) (* (pow d 2) (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))))) (pow c 6))) (pow a 3))) (/ (pow d 2) (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 4)))) (+ (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 6)))) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* a (pow c 4)))))) (pow a 2))> |
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#<alt (pow d 2)> |
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#<alt (* c (+ a (* -1 (/ (* b d) c))))> |
#<alt (* c (+ a (* -1 (/ (* b d) c))))> |
#<alt (* c (+ a (* -1 (/ (* b d) c))))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (/ (* b d) c))))> |
#<alt (* -1 (* c (+ (* -1 a) (/ (* b d) c))))> |
#<alt (* -1 (* c (+ (* -1 a) (/ (* b d) c))))> |
#<alt (* a c)> |
#<alt (+ (* -1 (* b d)) (* a c))> |
#<alt (+ (* -1 (* b d)) (* a c))> |
#<alt (+ (* -1 (* b d)) (* a c))> |
#<alt (* -1 (* b d))> |
#<alt (* b (- (/ (* a c) b) d))> |
#<alt (* b (- (/ (* a c) b) d))> |
#<alt (* b (- (/ (* a c) b) d))> |
#<alt (* -1 (* b d))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d))))> |
#<alt (* a c)> |
#<alt (+ (* -1 (* b d)) (* a c))> |
#<alt (+ (* -1 (* b d)) (* a c))> |
#<alt (+ (* -1 (* b d)) (* a c))> |
#<alt (* -1 (* b d))> |
#<alt (* d (- (/ (* a c) d) b))> |
#<alt (* d (- (/ (* a c) d) b))> |
#<alt (* d (- (/ (* a c) d) b))> |
#<alt (* -1 (* b d))> |
#<alt (* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b))))> |
#<alt (* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b))))> |
#<alt (* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b))))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | b | @ | inf | (/ 1 (- (* a c) (* b d))) |
| 3.0ms | c | @ | 0 | (+ (* d (- (/ b (* c c)) (* a (/ d (* c (* c c)))))) (/ a c)) |
| 2.0ms | d | @ | -inf | (/ (+ (* c c) (* d d)) (* (+ (* a c) (* b d)) (- (* a c) (* b d)))) |
| 2.0ms | a | @ | 0 | (/ 1 (/ (+ (* c c) (* d d)) (* (+ (* a c) (* b d)) (- (* a c) (* b d))))) |
| 1.0ms | a | @ | inf | (/ (+ (* c c) (* d d)) (* (+ (* a c) (* b d)) (- (* a c) (* b d)))) |
| 1× | egg-herbie |
| 6 232× | lower-fma.f64 |
| 6 232× | lower-fma.f32 |
| 5 702× | lower-*.f64 |
| 5 702× | lower-*.f32 |
| 4 256× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1114 | 9674 |
| 1 | 4020 | 8470 |
| 0 | 9425 | 8089 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(* (pow d 2) (- (/ b (* (pow c 2) d)) (/ a (pow c 3)))) |
(* (pow d 2) (- (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))) (/ a (pow c 3)))) |
(* (pow d 2) (- (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))) (/ a (pow c 3)))) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3)) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3)) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(* -1 (* a (- (/ (pow d 2) (pow c 3)) (/ 1 c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(* -1 (/ (* a d) (pow c 3))) |
(- (/ b (pow c 2)) (/ (* a d) (pow c 3))) |
(- (/ b (pow c 2)) (/ (* a d) (pow c 3))) |
(- (/ b (pow c 2)) (/ (* a d) (pow c 3))) |
(/ b (pow c 2)) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) |
(/ b (pow c 2)) |
(* -1 (* b (- (/ (* a d) (* b (pow c 3))) (/ 1 (pow c 2))))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 3))) (/ 1 (pow c 2))))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 3))) (/ 1 (pow c 2))))) |
(* -1 (/ (* a d) (pow c 3))) |
(/ (- (* b c) (* a d)) (pow c 3)) |
(/ (- (* b c) (* a d)) (pow c 3)) |
(/ (- (* b c) (* a d)) (pow c 3)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/ b (pow c 2)) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(* -1 (/ (* a d) (pow c 3))) |
(* a (- (/ b (* a (pow c 2))) (/ d (pow c 3)))) |
(* a (- (/ b (* a (pow c 2))) (/ d (pow c 3)))) |
(* a (- (/ b (* a (pow c 2))) (/ d (pow c 3)))) |
(* -1 (/ (* a d) (pow c 3))) |
(* -1 (* a (- (* -1 (/ b (* a (pow c 2)))) (* -1 (/ d (pow c 3)))))) |
(* -1 (* a (- (* -1 (/ b (* a (pow c 2)))) (* -1 (/ d (pow c 3)))))) |
(* -1 (* a (- (* -1 (/ b (* a (pow c 2)))) (* -1 (/ d (pow c 3)))))) |
(/ b (pow c 2)) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(* -1 (/ (* a d) (pow c 3))) |
(* d (- (/ b (* (pow c 2) d)) (/ a (pow c 3)))) |
(* d (- (/ b (* (pow c 2) d)) (/ a (pow c 3)))) |
(* d (- (/ b (* (pow c 2) d)) (/ a (pow c 3)))) |
(* -1 (/ (* a d) (pow c 3))) |
(* -1 (* d (- (* -1 (/ b (* (pow c 2) d))) (* -1 (/ a (pow c 3)))))) |
(* -1 (* d (- (* -1 (/ b (* (pow c 2) d))) (* -1 (/ a (pow c 3)))))) |
(* -1 (* d (- (* -1 (/ b (* (pow c 2) d))) (* -1 (/ a (pow c 3)))))) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (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) |
(pow c 2) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (pow b 2)) |
(+ (* -1 (pow b 2)) (* c (+ (* -1 (/ (* a b) d)) (/ (* a b) d)))) |
(+ (* -1 (pow b 2)) (* c (+ (* -1 (/ (* a b) d)) (+ (* c (- (/ (pow a 2) (pow d 2)) (* -1 (/ (pow b 2) (pow d 2))))) (/ (* a b) d))))) |
(+ (* -1 (pow b 2)) (* c (+ (* -1 (/ (* a b) d)) (+ (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a b) (pow d 3))) (/ (* a b) (pow d 3))))) (/ (pow a 2) (pow d 2))) (* -1 (/ (pow b 2) (pow d 2))))) (/ (* a b) d))))) |
(pow a 2) |
(+ (* -1 (/ (* a (* b d)) c)) (+ (/ (* a (* b d)) c) (pow a 2))) |
(- (+ (* -1 (/ (* a (* b d)) c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (pow c 2))) (+ (/ (* a (* b d)) c) (pow a 2)))) (/ (* (pow a 2) (pow d 2)) (pow c 2))) |
(- (+ (* -1 (/ (* a (* b d)) c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (pow c 2))) (+ (* -1 (/ (* (pow d 2) (+ (* -1 (* a (* b d))) (* a (* b d)))) (pow c 3))) (+ (/ (* a (* b d)) c) (pow a 2))))) (/ (* (pow a 2) (pow d 2)) (pow c 2))) |
(pow a 2) |
(+ (* -1 (/ (+ (* -1 (* a (* b d))) (* a (* b d))) c)) (pow a 2)) |
(+ (* -1 (/ (+ (* -1 (* a (* b d))) (+ (* -1 (/ (- (* -1 (* (pow b 2) (pow d 2))) (* (pow a 2) (pow d 2))) c)) (* a (* b d)))) c)) (pow a 2)) |
(+ (* -1 (/ (+ (* -1 (* a (* b d))) (+ (* -1 (/ (- (+ (* -1 (* (pow b 2) (pow d 2))) (/ (* (pow d 2) (+ (* -1 (* a (* b d))) (* a (* b d)))) c)) (* (pow a 2) (pow d 2))) c)) (* a (* b d)))) c)) (pow a 2)) |
(pow a 2) |
(+ (* d (+ (* -1 (/ (* a b) c)) (/ (* a b) c))) (pow a 2)) |
(+ (* d (+ (* -1 (/ (* a b) c)) (+ (* d (- (* -1 (/ (pow b 2) (pow c 2))) (/ (pow a 2) (pow c 2)))) (/ (* a b) c)))) (pow a 2)) |
(+ (* d (+ (* -1 (/ (* a b) c)) (+ (* d (- (+ (* -1 (* d (+ (* -1 (/ (* a b) (pow c 3))) (/ (* a b) (pow c 3))))) (* -1 (/ (pow b 2) (pow c 2)))) (/ (pow a 2) (pow c 2)))) (/ (* a b) c)))) (pow a 2)) |
(* -1 (pow b 2)) |
(+ (* -1 (/ (* a (* b c)) d)) (+ (* -1 (pow b 2)) (/ (* a (* b c)) d))) |
(- (+ (* -1 (/ (* a (* b c)) d)) (+ (* -1 (pow b 2)) (+ (/ (* a (* b c)) d) (/ (* (pow a 2) (pow c 2)) (pow d 2))))) (* -1 (/ (* (pow b 2) (pow c 2)) (pow d 2)))) |
(- (+ (* -1 (/ (* a (* b c)) d)) (+ (* -1 (/ (* (pow c 2) (+ (* -1 (* a (* b c))) (* a (* b c)))) (pow d 3))) (+ (* -1 (pow b 2)) (+ (/ (* a (* b c)) d) (/ (* (pow a 2) (pow c 2)) (pow d 2)))))) (* -1 (/ (* (pow b 2) (pow c 2)) (pow d 2)))) |
(* -1 (pow b 2)) |
(+ (* -1 (/ (+ (* -1 (* a (* b c))) (* a (* b c))) d)) (* -1 (pow b 2))) |
(+ (* -1 (/ (+ (* -1 (* a (* b c))) (+ (* -1 (/ (- (* (pow a 2) (pow c 2)) (* -1 (* (pow b 2) (pow c 2)))) d)) (* a (* b c)))) d)) (* -1 (pow b 2))) |
(+ (* -1 (/ (+ (* -1 (* a (* b c))) (+ (* -1 (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow c 2) (+ (* -1 (* a (* b c))) (* a (* b c)))) d)) (* -1 (* (pow b 2) (pow c 2)))) d)) (* a (* b c)))) d)) (* -1 (pow b 2))) |
(* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) (* a (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))))) |
(+ (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) (* a (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (pow c 2)) (+ (pow c 2) (pow d 2))) (/ (* b (* c d)) (+ (pow c 2) (pow d 2))))))) |
(+ (* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) (* a (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (pow c 2)) (+ (pow c 2) (pow d 2))) (/ (* b (* c d)) (+ (pow c 2) (pow d 2))))))) |
(/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2))) |
(* (pow a 2) (+ (* -1 (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2))))) (+ (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2)))) (/ (pow c 2) (+ (pow c 2) (pow d 2)))))) |
(* (pow a 2) (+ (* -1 (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (+ (pow c 2) (pow d 2))))) (+ (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2)))) (/ (pow c 2) (+ (pow c 2) (pow d 2))))))) |
(* (pow a 2) (+ (* -1 (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (+ (pow c 2) (pow d 2))))) (+ (/ (* b (* c d)) (* a (+ (pow c 2) (pow d 2)))) (/ (pow c 2) (+ (pow c 2) (pow d 2))))))) |
(/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) a)) (/ (pow c 2) (+ (pow c 2) (pow d 2))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* b (* c d)) (+ (pow c 2) (pow d 2))) (/ (* (pow b 2) (pow d 2)) (* a (+ (pow c 2) (pow d 2)))))) a)) (/ (pow c 2) (+ (pow c 2) (pow d 2))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (* c d)) (+ (pow c 2) (pow d 2)))) (+ (/ (* b (* c d)) (+ (pow c 2) (pow d 2))) (/ (* (pow b 2) (pow d 2)) (* a (+ (pow c 2) (pow d 2)))))) a)) (/ (pow c 2) (+ (pow c 2) (pow d 2))))) |
(/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2))) |
(+ (* b (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2))))) (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2)))) |
(+ (* b (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* b (pow d 2)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))))) (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2)))) |
(+ (* b (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* b (pow d 2)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))))) (/ (* (pow a 2) (pow c 2)) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) |
(* (pow b 2) (+ (* -1 (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))))) |
(* (pow b 2) (+ (* -1 (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2)))) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (+ (pow c 2) (pow d 2)))))))) |
(* (pow b 2) (+ (* -1 (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))) (+ (/ (* a (* c d)) (* b (+ (pow c 2) (pow d 2)))) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (+ (pow c 2) (pow d 2)))))))) |
(* -1 (/ (* (pow b 2) (pow d 2)) (+ (pow c 2) (pow d 2)))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) b)) (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (+ (pow c 2) (pow d 2))))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2))))) b)) (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))))) |
(* (pow b 2) (+ (* -1 (/ (+ (* -1 (/ (* a (* c d)) (+ (pow c 2) (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* b (+ (pow c 2) (pow d 2))))) (/ (* a (* c d)) (+ (pow c 2) (pow d 2))))) b)) (* -1 (/ (pow d 2) (+ (pow c 2) (pow d 2)))))) |
(/ -1 (pow b 2)) |
(- (* -1 (* c (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d))))) (/ 1 (pow b 2))) |
(- (* c (- (* -1 (* c (+ (/ 1 (* (pow b 2) (pow d 2))) (+ (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d)))) (* (pow b 2) (pow d 2))) (/ (pow a 2) (* (pow b 4) (pow d 2))))))) (+ (* -1 (/ a (* (pow b 3) d))) (/ a (* (pow b 3) d))))) (/ 1 (pow b 2))) |
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(/ 1 (pow a 2)) |
(+ (* -1 (/ (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3))) c)) (/ 1 (pow a 2))) |
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(/ 1 (pow a 2)) |
(+ (* -1 (/ (* b d) (* (pow a 3) c))) (+ (/ 1 (pow a 2)) (/ (* b d) (* (pow a 3) c)))) |
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow d 2) (pow a 2)) (+ (* -1 (/ (* (+ (* -1 (* a (* b d))) (* a (* b d))) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) (pow a 2))) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 4))))) c)) (+ (* -1 (/ (* b d) (pow a 3))) (/ (* b d) (pow a 3)))) c)) (/ 1 (pow a 2))) |
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(/ 1 (pow a 2)) |
(+ (* -1 (* d (+ (* -1 (/ b (* (pow a 3) c))) (/ b (* (pow a 3) c))))) (/ 1 (pow a 2))) |
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(/ -1 (pow b 2)) |
(- (* -1 (/ (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3))) d)) (/ 1 (pow b 2))) |
(- (* -1 (/ (pow c 2) (* (pow b 2) (pow d 2)))) (+ (* -1 (/ (* a c) (* (pow b 3) d))) (+ (/ 1 (pow b 2)) (+ (/ (* a c) (* (pow b 3) d)) (+ (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) (* (pow b 2) (pow d 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 4) (pow d 2)))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (- (* -1 (/ (pow c 2) (pow b 2))) (+ (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (pow b 2))) (/ (* (pow a 2) (* (pow c 2) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3))))) (pow b 2))) (pow d 3))) (* -1 (/ (pow c 2) (* (pow b 2) (pow d 2))))) (+ (* -1 (/ (* a c) (* (pow b 3) d))) (+ (/ 1 (pow b 2)) (+ (/ (* a c) (* (pow b 3) d)) (+ (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) (* (pow b 2) (pow d 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 4) (pow d 2)))))))) |
(/ -1 (pow b 2)) |
(- (+ (* -1 (/ (* a c) (* (pow b 3) d))) (/ (* a c) (* (pow b 3) d))) (/ 1 (pow b 2))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) (pow b 2))) (+ (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) d)) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) d)) (/ 1 (pow b 2))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (- (* -1 (/ (pow c 2) (pow b 2))) (+ (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* (pow b 2) d))) (+ (* -1 (/ (pow c 2) (pow b 2))) (/ (* (pow a 2) (* (pow c 2) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3))))) (* (pow b 2) d)))) (+ (/ (* (+ (* -1 (* a (* b c))) (* a (* b c))) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) d)) (+ (* -1 (/ (* a c) (pow b 3))) (/ (* a c) (pow b 3)))) d)) (/ 1 (pow b 2))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* (pow b 2) (pow d 2)))) |
(+ (* -1 (/ (* a (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* (pow b 2) (pow d 2))))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* (pow b 2) (pow d 2)))) (* a (- (* -1 (* a (+ (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 4) (pow d 4))) (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow b 6) (pow d 6)))))) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* (pow b 4) (pow d 4)))))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* (pow b 2) (pow d 2)))) (* a (- (* a (- (* -1 (* a (+ (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 4) (pow d 4))) (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow b 6) (pow d 6))))) (* (pow b 2) (pow d 2))) (/ (* (pow c 2) (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2)))) (* (pow b 6) (pow d 6)))))) (+ (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 4) (pow d 4))) (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow b 6) (pow d 6)))))) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* (pow b 4) (pow d 4)))))) |
(/ (+ (pow c 2) (pow d 2)) (* (pow a 2) (pow c 2))) |
(/ (+ 1 (+ (* -1 (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* a (pow c 4)))) (/ (pow d 2) (pow c 2)))) (pow a 2)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 4))) (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow c 6)))) (pow a 2))) (/ (pow d 2) (pow c 2)))) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* a (pow c 4)))) (pow a 2)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 4))) (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow c 6))))) (pow c 2))) (/ (* (pow b 2) (* (pow d 2) (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))))) (pow c 6))) (pow a 3))) (/ (pow d 2) (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 4)))) (+ (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 6)))) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* a (pow c 4)))))) (pow a 2)) |
(/ (+ (pow c 2) (pow d 2)) (* (pow a 2) (pow c 2))) |
(/ (+ 1 (+ (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (* a (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow a 2)) |
(/ (+ 1 (+ (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 4)))) (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (* a (pow c 6))))) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (pow c 4))) a)) (/ (pow d 2) (pow c 2)))) (pow a 2)) |
(/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 4))) (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow c 6))))) (* a (pow c 2)))) (/ (* (pow b 2) (* (pow d 2) (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))))) (* a (pow c 6)))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 4))) (* -1 (/ (* (pow (+ (* -1 (* b (* c d))) (* b (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow c 6))))) a)) (/ (* (+ (* -1 (* b (* c d))) (* b (* c d))) (+ (pow c 2) (pow d 2))) (pow c 4))) a)) (/ (pow d 2) (pow c 2)))) (pow a 2)) |
(/ (+ (pow c 2) (pow d 2)) (* (pow a 2) (pow c 2))) |
(+ (* -1 (/ (* b (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (+ (/ 1 (pow a 2)) (/ (pow d 2) (* (pow a 2) (pow c 2))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow a 6) (pow c 6))))))) (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (* (pow a 4) (pow c 4))))) (+ (/ 1 (pow a 2)) (/ (pow d 2) (* (pow a 2) (pow c 2))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow a 6) (pow c 6)))))) (* (pow a 2) (pow c 2)))) (/ (* (pow d 2) (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2)))) (* (pow a 6) (pow c 6)))))) (+ (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow a 6) (pow c 6))))))) (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (* (pow a 4) (pow c 4))))) (+ (/ 1 (pow a 2)) (/ (pow d 2) (* (pow a 2) (pow c 2))))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* (pow b 2) (pow d 2)))) |
(/ (+ (* -1 (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (* b (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (pow d 2)))) (pow b 2)) |
(/ (- (+ (* -1 (/ (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 4)) (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow d 6))) (pow b 2))) (* -1 (/ (+ (pow c 2) (pow d 2)) (pow d 2)))) (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (* b (pow d 4)))) (pow b 2)) |
(/ (- (+ (* -1 (/ (+ (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 4)) (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow d 6)))) (pow d 2)) (/ (* (pow a 2) (* (pow c 2) (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))))) (pow d 6))) (pow b 3))) (* -1 (/ (+ (pow c 2) (pow d 2)) (pow d 2)))) (+ (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (* b (pow d 4))) (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 4))) (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 6)))))) (pow b 2)) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* (pow b 2) (pow d 2)))) |
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (pow d 2))) (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (* b (pow d 4)))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (pow d 2))) (* -1 (/ (- (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (* b (pow d 6)))) (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (pow d 4))) b))) (pow b 2)) |
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (pow d 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 4)) (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow d 6)))) (* b (pow d 2))) (/ (* (pow a 2) (* (pow c 2) (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))))) (* b (pow d 6)))) (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 4)) (/ (* (pow (+ (* -1 (* a (* c d))) (* a (* c d))) 2) (+ (pow c 2) (pow d 2))) (pow d 6)))) b)) (/ (* (+ (* -1 (* a (* c d))) (* a (* c d))) (+ (pow c 2) (pow d 2))) (pow d 4))) b))) (pow b 2)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ d (pow c 3)) |
(/ -1 (* b d)) |
(- (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))) |
(- (* a (- (* -1 (/ (* a (pow c 2)) (* (pow b 3) (pow d 3)))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(- (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 4)))) (/ (pow c 2) (* (pow b 3) (pow d 3))))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(/ 1 (* a c)) |
(/ (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))) a) |
(/ (- (+ (/ 1 c) (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (* -1 (/ (* b d) (* a (pow c 2))))) a) |
(/ (- (+ (/ 1 c) (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 4)))) (+ (* -1 (/ (* b d) (* a (pow c 2)))) (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))))) a) |
(/ 1 (* a c)) |
(* -1 (/ (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)) a)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a (pow c 3))) (* -1 (/ (* b d) (pow c 2)))) a)) (/ 1 c)) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b 3) (pow d 3)) (* a (pow c 4)))) (/ (* (pow b 2) (pow d 2)) (pow c 3))) a)) (* -1 (/ (* b d) (pow c 2)))) a)) (/ 1 c)) a)) |
(/ -1 (* b d)) |
(- (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))) |
(- (* c (- (* -1 (/ (* (pow a 2) c) (* (pow b 3) (pow d 3)))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(- (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (/ (pow a 2) (* (pow b 3) (pow d 3))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(/ 1 (* a c)) |
(/ (+ (/ 1 a) (/ (* b d) (* (pow a 2) c))) c) |
(/ (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (* -1 (/ (* b d) (* (pow a 2) c)))) c) |
(/ (- (+ (/ 1 a) (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (* b d) (* (pow a 2) c))) (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))))) c) |
(/ 1 (* a c)) |
(* -1 (/ (- (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (* -1 (/ (* b d) (pow a 2)))) c)) (/ 1 a)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (* -1 (/ (* b d) (pow a 2)))) c)) (/ 1 a)) c)) |
(/ 1 (* a c)) |
(+ (/ 1 (* a c)) (/ (* b d) (* (pow a 2) (pow c 2)))) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (* -1 (/ d (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(+ (* b (- (* b (- (/ (* b (pow d 3)) (* (pow a 4) (pow c 4))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (* -1 (/ d (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(/ -1 (* b d)) |
(/ (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b) |
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) b) |
(/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (+ (/ 1 d) (+ (/ (* a c) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))))) b) |
(/ -1 (* b d)) |
(* -1 (/ (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* b (pow d 3)))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow d 3)))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(/ 1 (* a c)) |
(+ (/ 1 (* a c)) (/ (* b d) (* (pow a 2) (pow c 2)))) |
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (* -1 (/ b (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(+ (* d (- (* d (- (/ (* (pow b 3) d) (* (pow a 4) (pow c 4))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (* -1 (/ b (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(/ -1 (* b d)) |
(/ (- (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d) |
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (+ (/ 1 b) (/ (* a c) (* (pow b 2) d)))) d) |
(/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (+ (/ 1 b) (+ (/ (* a c) (* (pow b 2) d)) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))))) d) |
(/ -1 (* b d)) |
(* -1 (/ (+ (/ 1 b) (/ (* a c) (* (pow b 2) d))) d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(* -1 (* b d)) |
(- (* a c) (* b d)) |
(- (* a c) (* b d)) |
(- (* a c) (* b d)) |
(* a c) |
(* a (+ c (* -1 (/ (* b d) a)))) |
(* a (+ c (* -1 (/ (* b d) a)))) |
(* a (+ c (* -1 (/ (* b d) a)))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (/ (* b d) a)))) |
(* -1 (* a (+ (* -1 c) (/ (* b d) a)))) |
(* -1 (* a (+ (* -1 c) (/ (* b d) a)))) |
(* -1 (* b d)) |
(- (* a c) (* b d)) |
(- (* a c) (* b d)) |
(- (* a c) (* b d)) |
(* a c) |
(* c (+ a (* -1 (/ (* b d) c)))) |
(* c (+ a (* -1 (/ (* b d) c)))) |
(* c (+ a (* -1 (/ (* b d) c)))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (/ (* b d) c)))) |
(* -1 (* c (+ (* -1 a) (/ (* b d) c)))) |
(* -1 (* c (+ (* -1 a) (/ (* b d) c)))) |
(* a c) |
(+ (* -1 (* b d)) (* a c)) |
(+ (* -1 (* b d)) (* a c)) |
(+ (* -1 (* b d)) (* a c)) |
(* -1 (* b d)) |
(* b (- (/ (* a c) b) d)) |
(* b (- (/ (* a c) b) d)) |
(* b (- (/ (* a c) b) d)) |
(* -1 (* b d)) |
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d)))) |
(* a c) |
(+ (* -1 (* b d)) (* a c)) |
(+ (* -1 (* b d)) (* a c)) |
(+ (* -1 (* b d)) (* a c)) |
(* -1 (* b d)) |
(* d (- (/ (* a c) d) b)) |
(* d (- (/ (* a c) d) b)) |
(* d (- (/ (* a c) d) b)) |
(* -1 (* b d)) |
(* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b)))) |
(* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b)))) |
(* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b)))) |
| Outputs |
|---|
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(/.f64 (*.f64 a (*.f64 d d)) (neg.f64 (*.f64 c (*.f64 c c)))) |
(* (pow d 2) (- (/ b (* (pow c 2) d)) (/ a (pow c 3)))) |
(*.f64 (*.f64 d d) (-.f64 (/.f64 b (*.f64 d (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) |
(* (pow d 2) (- (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))) (/ a (pow c 3)))) |
(*.f64 (*.f64 d d) (+.f64 (/.f64 a (*.f64 c (*.f64 d d))) (-.f64 (/.f64 b (*.f64 d (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c)))))) |
(* (pow d 2) (- (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))) (/ a (pow c 3)))) |
(*.f64 (*.f64 d d) (+.f64 (/.f64 a (*.f64 c (*.f64 d d))) (-.f64 (/.f64 b (*.f64 d (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c)))))) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(/.f64 (*.f64 a (*.f64 d d)) (neg.f64 (*.f64 c (*.f64 c c)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d)))) |
(*.f64 (*.f64 d d) (-.f64 (/.f64 b (*.f64 d (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d)))) |
(*.f64 (*.f64 d d) (-.f64 (neg.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 (neg.f64 (/.f64 b (*.f64 c c))) (/.f64 a (*.f64 c d))) d))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d)))) |
(*.f64 (*.f64 d d) (-.f64 (neg.f64 (/.f64 a (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 (neg.f64 (/.f64 b (*.f64 c c))) (/.f64 a (*.f64 c d))) d))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(-.f64 (/.f64 a c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(-.f64 (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(-.f64 (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(-.f64 (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(*.f64 b (-.f64 (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(*.f64 b (-.f64 (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(*.f64 b (-.f64 (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(neg.f64 (*.f64 b (-.f64 (neg.f64 (/.f64 d (*.f64 c c))) (/.f64 (-.f64 (/.f64 a c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) b)))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(neg.f64 (*.f64 b (-.f64 (neg.f64 (/.f64 d (*.f64 c c))) (/.f64 (-.f64 (/.f64 a c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) b)))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(neg.f64 (*.f64 b (-.f64 (neg.f64 (/.f64 d (*.f64 c c))) (/.f64 (-.f64 (/.f64 a c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c (*.f64 c c)))) b)))) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(/.f64 (*.f64 a (*.f64 d d)) (neg.f64 (*.f64 c (*.f64 c c)))) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3)) |
(/.f64 (-.f64 (*.f64 b (*.f64 c d)) (*.f64 a (*.f64 d d))) (*.f64 c (*.f64 c c))) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3)) |
(/.f64 (fma.f64 c (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 a (*.f64 d d)))) (*.f64 c (*.f64 c c))) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3)) |
(/.f64 (fma.f64 c (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 a (*.f64 d d)))) (*.f64 c (*.f64 c c))) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)))) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 b d) (*.f64 a (/.f64 (*.f64 d d) c))) (neg.f64 c)) a) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 b d) (*.f64 a (/.f64 (*.f64 d d) c))) (neg.f64 c)) a) (neg.f64 c)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c)))) (*.f64 b (/.f64 d (*.f64 c c)))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c)))) (*.f64 b (/.f64 d (*.f64 c c)))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(fma.f64 a (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c)))) (*.f64 b (/.f64 d (*.f64 c c)))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) |
(*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(*.f64 a (-.f64 (fma.f64 b (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(*.f64 a (-.f64 (fma.f64 b (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(*.f64 a (-.f64 (fma.f64 b (/.f64 d (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))))) |
(* -1 (* a (- (/ (pow d 2) (pow c 3)) (/ 1 c)))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) c))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a (*.f64 c c))) (+.f64 (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a (*.f64 c c))) (+.f64 (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a (*.f64 c c))) (+.f64 (/.f64 (*.f64 d d) (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)))) |
(* -1 (/ (* a d) (pow c 3))) |
(/.f64 (*.f64 a d) (neg.f64 (*.f64 c (*.f64 c c)))) |
(- (/ b (pow c 2)) (/ (* a d) (pow c 3))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(- (/ b (pow c 2)) (/ (* a d) (pow c 3))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(- (/ b (pow c 2)) (/ (* a d) (pow c 3))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(/ b (pow c 2)) |
(/.f64 b (*.f64 c c)) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) |
(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) |
(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) |
(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 b (*.f64 c (*.f64 c c)))))) |
(/ b (pow c 2)) |
(/.f64 b (*.f64 c c)) |
(* -1 (* b (- (/ (* a d) (* b (pow c 3))) (/ 1 (pow c 2))))) |
(*.f64 (fma.f64 a (/.f64 d (*.f64 b (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1 binary64) (*.f64 c c))) (neg.f64 b)) |
(* -1 (* b (- (/ (* a d) (* b (pow c 3))) (/ 1 (pow c 2))))) |
(*.f64 (fma.f64 a (/.f64 d (*.f64 b (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1 binary64) (*.f64 c c))) (neg.f64 b)) |
(* -1 (* b (- (/ (* a d) (* b (pow c 3))) (/ 1 (pow c 2))))) |
(*.f64 (fma.f64 a (/.f64 d (*.f64 b (*.f64 c (*.f64 c c)))) (/.f64 #s(literal -1 binary64) (*.f64 c c))) (neg.f64 b)) |
(* -1 (/ (* a d) (pow c 3))) |
(/.f64 (*.f64 a d) (neg.f64 (*.f64 c (*.f64 c c)))) |
(/ (- (* b c) (* a d)) (pow c 3)) |
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (*.f64 c (*.f64 c c))) |
(/ (- (* b c) (* a d)) (pow c 3)) |
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (*.f64 c (*.f64 c c))) |
(/ (- (* b c) (* a d)) (pow c 3)) |
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (*.f64 c (*.f64 c c))) |
(/ b (pow c 2)) |
(/.f64 b (*.f64 c c)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) (*.f64 c c)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) (*.f64 c c)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) (*.f64 c c)) |
(/ b (pow c 2)) |
(/.f64 b (*.f64 c c)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) (*.f64 c c)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) (*.f64 c c)) |
(/ (+ b (* -1 (/ (* a d) c))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) (*.f64 c c)) |
(/ b (pow c 2)) |
(/.f64 b (*.f64 c c)) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
(fma.f64 a (/.f64 (neg.f64 d) (*.f64 c (*.f64 c c))) (/.f64 b (*.f64 c c))) |
(* -1 (/ (* a d) (pow c 3))) |
(/.f64 (*.f64 a d) (neg.f64 (*.f64 c (*.f64 c c)))) |
(* a (- (/ b (* a (pow c 2))) (/ d (pow c 3)))) |
(*.f64 a (-.f64 (/.f64 b (*.f64 a (*.f64 c c))) (/.f64 d (*.f64 c (*.f64 c c))))) |
(* a (- (/ b (* a (pow c 2))) (/ d (pow c 3)))) |
(*.f64 a (-.f64 (/.f64 b (*.f64 a (*.f64 c c))) (/.f64 d (*.f64 c (*.f64 c c))))) |
(* a (- (/ b (* a (pow c 2))) (/ d (pow c 3)))) |
(*.f64 a (-.f64 (/.f64 b (*.f64 a (*.f64 c c))) (/.f64 d (*.f64 c (*.f64 c c))))) |
(* -1 (/ (* a d) (pow c 3))) |
(/.f64 (*.f64 a d) (neg.f64 (*.f64 c (*.f64 c c)))) |
(* -1 (* a (- (* -1 (/ b (* a (pow c 2)))) (* -1 (/ d (pow c 3)))))) |
(*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 b (*.f64 a (*.f64 c c)))) (/.f64 d (*.f64 c (*.f64 c c))))) |
(* -1 (* a (- (* -1 (/ b (* a (pow c 2)))) (* -1 (/ d (pow c 3)))))) |
(*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 b (*.f64 a (*.f64 c c)))) (/.f64 d (*.f64 c (*.f64 c c))))) |
(* -1 (* a (- (* -1 (/ b (* a (pow c 2)))) (* -1 (/ d (pow c 3)))))) |
(*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 b (*.f64 a (*.f64 c c)))) (/.f64 d (*.f64 c (*.f64 c c))))) |
(/ b (pow c 2)) |
(/.f64 b (*.f64 c c)) |
(+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2))) |
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b d) (*.f64 c (*.f64 a a))))) c) |
(/ (- (+ (/ 1 a) (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (+ (* -1 (/ (* b d) (* (pow a 2) c))) (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))))) c) |
(/.f64 (-.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (fma.f64 b (/.f64 d (*.f64 c (*.f64 a a))) (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 (*.f64 c c) (*.f64 a (*.f64 a a))))))) c) |
(/ 1 (* a c)) |
(/.f64 #s(literal 1 binary64) (*.f64 a c)) |
(* -1 (/ (- (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 c)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (* -1 (/ (* b d) (pow a 2)))) c)) (/ 1 a)) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) (/.f64 (*.f64 d d) (*.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 b d) (*.f64 a a))) (neg.f64 c)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (* -1 (/ (* b d) (pow a 2)))) c)) (/ 1 a)) c)) |
(/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 b d) (*.f64 b d)) (*.f64 a (*.f64 a a))))) c)) (/.f64 (*.f64 b d) (*.f64 a a))) (neg.f64 c)) (/.f64 #s(literal -1 binary64) a)) (neg.f64 c)) |
(/ 1 (* a c)) |
(/.f64 #s(literal 1 binary64) (*.f64 a c)) |
(+ (/ 1 (* a c)) (/ (* b d) (* (pow a 2) (pow c 2)))) |
(fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (* -1 (/ d (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(fma.f64 b (fma.f64 b (/.f64 (*.f64 d d) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 d (*.f64 (*.f64 c c) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(+ (* b (- (* b (- (/ (* b (pow d 3)) (* (pow a 4) (pow c 4))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (* -1 (/ d (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(fma.f64 b (fma.f64 b (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 d d) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 d (*.f64 (*.f64 c c) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(/ -1 (* b d)) |
(/.f64 #s(literal -1 binary64) (*.f64 b d)) |
(/ (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b) |
(/.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)) (neg.f64 b)) |
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) b) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 b b))) (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))) b) |
(/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (+ (/ 1 d) (+ (/ (* a c) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))))) b) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) d)) (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 b b))))) b) |
(/ -1 (* b d)) |
(/.f64 #s(literal -1 binary64) (*.f64 b d)) |
(* -1 (/ (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) b)) |
(/.f64 (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* b (pow d 3)))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 a c) (*.f64 d d)))) b)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow d 3)))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 d (*.f64 d d)))) (neg.f64 b)) (/.f64 (*.f64 a c) (*.f64 d d))) b)) (neg.f64 b)) |
(/ 1 (* a c)) |
(/.f64 #s(literal 1 binary64) (*.f64 a c)) |
(+ (/ 1 (* a c)) (/ (* b d) (* (pow a 2) (pow c 2)))) |
(fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (* -1 (/ b (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(fma.f64 d (fma.f64 (*.f64 b b) (/.f64 d (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 b (*.f64 (*.f64 c c) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(+ (* d (- (* d (- (/ (* (pow b 3) d) (* (pow a 4) (pow c 4))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (* -1 (/ b (* (pow a 2) (pow c 2)))))) (/ 1 (* a c))) |
(fma.f64 d (fma.f64 d (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 d (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 b b) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 (*.f64 c c) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(/ -1 (* b d)) |
(/.f64 #s(literal -1 binary64) (*.f64 b d)) |
(/ (- (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d) |
(/.f64 (fma.f64 a (/.f64 c (*.f64 d (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d)) |
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (+ (/ 1 b) (/ (* a c) (* (pow b 2) d)))) d) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 c (*.f64 d (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)))) d) |
(/ (- (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (+ (/ 1 b) (+ (/ (* a c) (* (pow b 2) d)) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))))) d) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) b)) (fma.f64 a (/.f64 c (*.f64 d (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d d) (*.f64 b (*.f64 b b)))))) d) |
(/ -1 (* b d)) |
(/.f64 #s(literal -1 binary64) (*.f64 b d)) |
(* -1 (/ (+ (/ 1 b) (/ (* a c) (* (pow b 2) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c (*.f64 d (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 d (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a c) (*.f64 b b)))) d)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (neg.f64 d)) (/.f64 (*.f64 a c) (*.f64 b b))) d)) (neg.f64 d)) |
(* -1 (* b d)) |
(*.f64 b (neg.f64 d)) |
(- (* a c) (* b d)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(- (* a c) (* b d)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(- (* a c) (* b d)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(* a c) |
(*.f64 a c) |
(* a (+ c (* -1 (/ (* b d) a)))) |
(*.f64 a (-.f64 c (/.f64 (*.f64 b d) a))) |
(* a (+ c (* -1 (/ (* b d) a)))) |
(*.f64 a (-.f64 c (/.f64 (*.f64 b d) a))) |
(* a (+ c (* -1 (/ (* b d) a)))) |
(*.f64 a (-.f64 c (/.f64 (*.f64 b d) a))) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (/ (* b d) a)))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b d) a) c))) |
(* -1 (* a (+ (* -1 c) (/ (* b d) a)))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b d) a) c))) |
(* -1 (* a (+ (* -1 c) (/ (* b d) a)))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b d) a) c))) |
(* -1 (* b d)) |
(*.f64 b (neg.f64 d)) |
(- (* a c) (* b d)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(- (* a c) (* b d)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(- (* a c) (* b d)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(* a c) |
(*.f64 a c) |
(* c (+ a (* -1 (/ (* b d) c)))) |
(*.f64 c (-.f64 a (/.f64 (*.f64 b d) c))) |
(* c (+ a (* -1 (/ (* b d) c)))) |
(*.f64 c (-.f64 a (/.f64 (*.f64 b d) c))) |
(* c (+ a (* -1 (/ (* b d) c)))) |
(*.f64 c (-.f64 a (/.f64 (*.f64 b d) c))) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (/ (* b d) c)))) |
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) |
(* -1 (* c (+ (* -1 a) (/ (* b d) c)))) |
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) |
(* -1 (* c (+ (* -1 a) (/ (* b d) c)))) |
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) |
(* a c) |
(*.f64 a c) |
(+ (* -1 (* b d)) (* a c)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(+ (* -1 (* b d)) (* a c)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(+ (* -1 (* b d)) (* a c)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(* -1 (* b d)) |
(*.f64 b (neg.f64 d)) |
(* b (- (/ (* a c) b) d)) |
(*.f64 b (-.f64 (/.f64 (*.f64 a c) b) d)) |
(* b (- (/ (* a c) b) d)) |
(*.f64 b (-.f64 (/.f64 (*.f64 a c) b) d)) |
(* b (- (/ (* a c) b) d)) |
(*.f64 b (-.f64 (/.f64 (*.f64 a c) b) d)) |
(* -1 (* b d)) |
(*.f64 b (neg.f64 d)) |
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d)))) |
(*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) (/.f64 c b) d)) |
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d)))) |
(*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) (/.f64 c b) d)) |
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 d)))) |
(*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) (/.f64 c b) d)) |
(* a c) |
(*.f64 a c) |
(+ (* -1 (* b d)) (* a c)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(+ (* -1 (* b d)) (* a c)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(+ (* -1 (* b d)) (* a c)) |
(fma.f64 a c (*.f64 b (neg.f64 d))) |
(* -1 (* b d)) |
(*.f64 b (neg.f64 d)) |
(* d (- (/ (* a c) d) b)) |
(*.f64 d (-.f64 (/.f64 (*.f64 a c) d) b)) |
(* d (- (/ (* a c) d) b)) |
(*.f64 d (-.f64 (/.f64 (*.f64 a c) d) b)) |
(* d (- (/ (* a c) d) b)) |
(*.f64 d (-.f64 (/.f64 (*.f64 a c) d) b)) |
(* -1 (* b d)) |
(*.f64 b (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b)))) |
(*.f64 (neg.f64 d) (fma.f64 (neg.f64 a) (/.f64 c d) b)) |
(* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b)))) |
(*.f64 (neg.f64 d) (fma.f64 (neg.f64 a) (/.f64 c d) b)) |
(* -1 (* d (- (* -1 (/ (* a c) d)) (* -1 b)))) |
(*.f64 (neg.f64 d) (fma.f64 (neg.f64 a) (/.f64 c d) b)) |
| 1× | batch-egg-rewrite |
| 4 940× | lower-/.f32 |
| 4 928× | lower-/.f64 |
| 4 538× | lower-*.f32 |
| 4 522× | lower-*.f64 |
| 3 530× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 149 |
| 0 | 44 | 141 |
| 1 | 180 | 117 |
| 2 | 1599 | 113 |
| 0 | 8506 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) |
(/.f64 b (*.f64 c c)) |
(*.f64 c c) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(fma.f64 c c (*.f64 d d)) |
(/.f64 d (*.f64 c (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) |
(-.f64 (*.f64 a c) (*.f64 b d)) |
| Outputs |
|---|
(+.f64 (/.f64 a c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) |
(+.f64 (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))) (/.f64 a c)) |
(-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (-.f64 (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))) (/.f64 a c))) (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (-.f64 (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))) (/.f64 a c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (-.f64 (/.f64 a c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (-.f64 (/.f64 a c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))))) |
(fma.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) |
(fma.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) d (/.f64 a c)) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 a c) (-.f64 (/.f64 a c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))))) (fma.f64 (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))) (/.f64 a c)) (-.f64 (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (/.f64 (*.f64 a a) (*.f64 c c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 a c) (-.f64 (/.f64 a c) (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))))) (fma.f64 (*.f64 d (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))) |
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(/.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a))) (fma.f64 d d (*.f64 c c))) |
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(pow.f64 (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a)))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a))))) #s(literal -1/2 binary64)) |
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(/.f64 (-.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 d b))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a))))) (*.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (*.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))) (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (fma.f64 d b (*.f64 c a))) (*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 d (neg.f64 b)))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a))))))) |
(/.f64 (fma.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 d (neg.f64 b)) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (fma.f64 d (*.f64 b (*.f64 d b)) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d (neg.f64 b)) (*.f64 c a))))) |
(pow.f64 (fma.f64 d (neg.f64 b) (*.f64 c a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (neg.f64 b) (*.f64 c a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 d (neg.f64 b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 d (neg.f64 b) (*.f64 c a)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 d (neg.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a (*.f64 c a)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))))) |
(*.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a))) (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a)))) (fma.f64 d (neg.f64 b) (*.f64 c a))) |
(*.f64 (/.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d (neg.f64 b) (*.f64 c a))) (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 c (*.f64 a (*.f64 c a))))) |
Compiled 27 657 to 2 195 computations (92.1% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 649 | 1 | 650 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 10 | 10 |
| Total | 650 | 12 | 662 |
| Status | Accuracy | Program |
|---|---|---|
| 48.2% | (*.f64 (*.f64 (fma.f64 d (neg.f64 b) (*.f64 c a)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) | |
| ✓ | 41.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) |
| ✓ | 61.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
| ✓ | 46.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
| ✓ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
| ✓ | 50.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
| ✓ | 56.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| ✓ | 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
| ✓ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 43.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 40.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Compiled 400 to 165 computations (58.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))) |
(*.f64 (*.f64 (fma.f64 d (neg.f64 b) (*.f64 c a)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
5 calls:
| 20.0ms | a |
| 5.0ms | b |
| 5.0ms | d |
| 5.0ms | c |
| 4.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 4 | a |
| 63.5% | 2 | b |
| 80.8% | 4 | c |
| 89.5% | 5 | d |
| 75.3% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
1 calls:
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 5 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
1 calls:
| 3.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 5 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
1 calls:
| 3.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 3 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
3 calls:
| 3.0ms | c |
| 2.0ms | d |
| 2.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 74.2% | 3 | c |
| 74.9% | 3 | d |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
3 calls:
| 2.0ms | a |
| 2.0ms | c |
| 2.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 4 | a |
| 66.0% | 4 | c |
| 67.4% | 3 | d |
Compiled 15 to 12 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 1.0ms | d |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | a |
| 40.1% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 40.1% | 1 | c |
| 40.1% | 1 | b |
| 40.1% | 1 | d |
Compiled 39 to 27 computations (30.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2651270669714223e+100 | 8.715903790923394e+101 |
| 0.0ms | 5.786573566480521e-137 | 7.470676642192147e-137 |
| 0.0ms | -2.0482324597029305e-134 | -6.990034467587043e-139 |
| 0.0ms | -3.4466284818545325e+142 | -1.3511059139636346e+140 |
Compiled 22 to 18 computations (18.2% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.46488814761811e+74 | 2.0844861771381828e+75 |
| 0.0ms | 5.786573566480521e-137 | 7.470676642192147e-137 |
| 0.0ms | -2.0482324597029305e-134 | -6.990034467587043e-139 |
| 0.0ms | -1.538937582230932e+132 | -4.2929008800247456e+123 |
Compiled 22 to 18 computations (18.2% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.46488814761811e+74 | 2.0844861771381828e+75 |
| 0.0ms | 5.786573566480521e-137 | 7.470676642192147e-137 |
| 0.0ms | -2.0482324597029305e-134 | -6.990034467587043e-139 |
| 0.0ms | -1.538937582230932e+132 | -4.2929008800247456e+123 |
Compiled 22 to 18 computations (18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1931563.8988668548 | 9041311157.183817 |
| 0.0ms | -9547598321635696.0 | -0.440657305834745 |
Compiled 22 to 18 computations (18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1931563.8988668548 | 9041311157.183817 |
| 0.0ms | -9547598321635696.0 | -0.440657305834745 |
Compiled 22 to 18 computations (18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1931563.8988668548 | 9041311157.183817 |
| 0.0ms | -9547598321635696.0 | -0.440657305834745 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 653 |
| 1 | 88 | 653 |
| 2 | 98 | 653 |
| 3 | 108 | 653 |
| 4 | 115 | 653 |
| 5 | 119 | 653 |
| 6 | 120 | 653 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) (if (<=.f64 d #s(literal 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) (if (<=.f64 d #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -5000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 2000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))) |
(if (<=.f64 d #s(literal -5000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 2000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))) |
(if (<=.f64 d #s(literal -5000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 2000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) (if (<=.f64 d #s(literal 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -20000000000000001016445696805993759409582178897019679576898416057743923428824704540156776745107920382581920574891563668662589154296936754315264 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (neg.f64 (/.f64 (*.f64 d a) c)) (*.f64 d b)) c)) c)) (if (<=.f64 d #s(literal 20000000000000000318057822195198360936721617127890562779562655115495677544340762121626939971713630208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) (if (<=.f64 d #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (neg.f64 (/.f64 (*.f64 d a) c)) (*.f64 d b)) c)) c)) (if (<=.f64 d #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -999999999999999990829567402361276563686608849982484911984092226517669151665599636201042933986541570369602253175829982724989462249472 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 392806872947537/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 d #s(literal 999999999999999926539781176481198923508803215199467887262646419780362305536 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -5000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 2000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))) |
(if (<=.f64 d #s(literal -5000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 2000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))) |
(if (<=.f64 d #s(literal -5000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 2000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 7 676× | lower-fma.f64 |
| 7 676× | lower-fma.f32 |
| 4 326× | lower-*.f64 |
| 4 326× | lower-*.f32 |
| 1 822× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1428 |
| 1 | 618 | 1418 |
| 2 | 1892 | 1394 |
| 3 | 5763 | 1392 |
| 0 | 8185 | 1262 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 465 to 150 computations (67.7% saved)
Compiled 760 to 188 computations (75.3% saved)
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