
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 564.0ms | 5 503× | 0 | valid |
| 468.0ms | 1 200× | 2 | valid |
| 187.0ms | 1 374× | 1 | valid |
| 148.0ms | 944× | 0 | invalid |
| 45.0ms | 179× | 3 | valid |
ival-mult: 403.0ms (37.2% of total)ival-sqrt: 242.0ms (22.3% of total)adjust: 152.0ms (14% of total)ival-sub: 125.0ms (11.5% of total)ival-div: 98.0ms (9% of total)ival-neg: 45.0ms (4.2% of total)exact: 9.0ms (0.8% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 1 418× | times-frac |
| 1 146× | distribute-rgt-in |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 974× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 189 | 151 |
| 2 | 590 | 147 |
| 3 | 1942 | 144 |
| 4 | 4692 | 144 |
| 5 | 5896 | 144 |
| 6 | 6384 | 144 |
| 7 | 6472 | 144 |
| 8 | 6511 | 144 |
| 9 | 6782 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 45 | 17 |
| 2 | 104 | 17 |
| 3 | 247 | 16 |
| 4 | 409 | 16 |
| 5 | 743 | 16 |
| 6 | 1570 | 16 |
| 7 | 2082 | 16 |
| 8 | 2242 | 16 |
| 9 | 2312 | 16 |
| 10 | 2322 | 16 |
| 11 | 2322 | 16 |
| 12 | 2328 | 16 |
| 0 | 2328 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 90 | 0 | - | 2 | (-8.683031026322726e-71 9.058036559232658e-215 3.1975301581111723e-246) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 47 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 14 | 0 | - | 1 | (7.470894521270418e-266 -1.6686740637356318e-181 1.2366720841075128e-238) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 83 | 0 |
| ↳ | (*.f64 b b) | overflow | 64 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 24 | |
| ↳ | (*.f64 a c) | overflow | 24 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 83 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 47 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 13 | 0 |
| ↳ | (*.f64 b b) | underflow | 53 | |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 21 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 36 | |
| ↳ | (*.f64 a c) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 5 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | underflow | 53 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 36 | |
| ↳ | (*.f64 a c) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 5 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 b b) | overflow | 64 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 24 | |
| ↳ | (*.f64 a c) | overflow | 24 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 110 | 2 |
| - | 18 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 110 | 0 | 2 |
| - | 18 | 0 | 126 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 108 |
| 2 | 19 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 376× | 0 | valid |
| 14.0ms | 74× | 1 | valid |
| 11.0ms | 50× | 2 | valid |
| 6.0ms | 12× | 3 | valid |
Compiled 184 to 60 computations (67.4% saved)
ival-mult: 12.0ms (31.8% of total)ival-sqrt: 7.0ms (18.5% of total)ival-sub: 6.0ms (15.9% of total)ival-div: 5.0ms (13.2% of total)adjust: 4.0ms (10.6% of total)ival-neg: 2.0ms (5.3% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.5% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 744× | lower-*.f32 |
| 736× | lower-*.f64 |
| 456× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 45 | 70 |
| 2 | 104 | 70 |
| 3 | 247 | 69 |
| 4 | 409 | 69 |
| 5 | 743 | 69 |
| 6 | 1570 | 69 |
| 7 | 2082 | 69 |
| 8 | 2242 | 69 |
| 9 | 2312 | 69 |
| 10 | 2322 | 69 |
| 11 | 2322 | 69 |
| 12 | 2328 | 69 |
| 0 | 2328 | 65 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| ✓ | accuracy | 95.0% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 82.8% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| ✓ | accuracy | 67.6% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 20.0ms | 188× | 0 | valid |
| 9.0ms | 37× | 1 | valid |
| 6.0ms | 25× | 2 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 6.0ms (33.1% of total)ival-sub: 3.0ms (16.5% of total)ival-div: 3.0ms (16.5% of total)ival-sqrt: 3.0ms (16.5% of total)adjust: 2.0ms (11% of total)ival-neg: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))> |
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))> |
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))> |
#<alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))> |
| Outputs |
|---|
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))> |
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (sqrt (- (* b b) (* 4 (* a c)))) |
| 1.0ms | c | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | b | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) |
| 1.0ms | a | @ | -inf | (sqrt (- (* b b) (* 4 (* a c)))) |
| 1.0ms | b | @ | 0 | (sqrt (- (* b b) (* 4 (* a c)))) |
| 1× | batch-egg-rewrite |
| 5 318× | lower-fma.f64 |
| 5 318× | lower-fma.f32 |
| 4 626× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 3 036× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 49 |
| 0 | 23 | 49 |
| 1 | 81 | 49 |
| 2 | 591 | 47 |
| 0 | 8094 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) |
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) |
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
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(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) |
| 1× | egg-herbie |
| 9 868× | lower-fma.f64 |
| 9 868× | lower-fma.f32 |
| 7 984× | lower-*.f64 |
| 7 984× | lower-*.f32 |
| 2 264× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3114 |
| 1 | 1718 | 3085 |
| 2 | 5754 | 3046 |
| 0 | 8116 | 2886 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))))) #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (fma.f64 a (*.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))) b) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 b (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(fma.f64 b (/.f64 (*.f64 a (*.f64 c #s(literal 2 binary64))) (*.f64 b b)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(fma.f64 b (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))))) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 c b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c)))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/512 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))))))) (neg.f64 c)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (neg.f64 b)) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c)))))))) #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(*.f64 b (fma.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c (*.f64 b b)) #s(literal -2 binary64))) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 b (fma.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b)))) #s(literal -2 binary64))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 c (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 a c)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/128 binary64)))) c)) c))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(- (pow b 2) (* 4 (* a c))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (*.f64 b b) a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (*.f64 b b) c))) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1105 | 18965 |
| 1 | 1106 | 18965 |
| 0 | 1106 | 18965 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) |
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) |
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
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(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) |
(+.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(-.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) b) |
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
(fma.f64 b #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 b (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 (*.f64 b b) (/.f64 b (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (fma.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
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(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))) |
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (/.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (fma.f64 a (*.f64 c (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a c) (fma.f64 (*.f64 a c) #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) |
Compiled 7 627 to 537 computations (93% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 274 | 8 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 275 | 8 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 23.0% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 38.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| 36.5% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 7.8% | (/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| 28.9% | (/.f64 c (neg.f64 b)) | |
| ▶ | 37.1% | (/.f64 b (neg.f64 a)) |
| 37.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
Compiled 220 to 150 computations (31.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 1344 | (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
| ✓ | cost-diff | 1536 | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) a) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 448 | (-.f64 (neg.f64 b) (neg.f64 b)) |
| ✓ | cost-diff | 1024 | (/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (neg.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 b (neg.f64 a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 3 296× | lower-*.f32 |
| 3 282× | lower-*.f64 |
| 2 480× | lower-/.f32 |
| 2 470× | lower-/.f64 |
| 1 836× | lower-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 226 |
| 0 | 55 | 194 |
| 1 | 118 | 190 |
| 2 | 284 | 188 |
| 3 | 1178 | 181 |
| 4 | 4285 | 181 |
| 0 | 8224 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 b (neg.f64 a)) |
b |
(neg.f64 a) |
a |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (neg.f64 b)) |
(neg.f64 b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(*.f64 c (*.f64 a #s(literal -2 binary64))) |
c |
(*.f64 a #s(literal -2 binary64)) |
a |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(*.f64 b b) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(/.f64 c (*.f64 b b)) |
c |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 b (neg.f64 a)) |
b |
(neg.f64 a) |
a |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
#s(literal 0 binary64) |
(-.f64 (neg.f64 b) (neg.f64 b)) |
#s(literal 0 binary64) |
(neg.f64 b) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(/.f64 (*.f64 a (*.f64 c #s(literal -2 binary64))) b) |
(*.f64 c (*.f64 a #s(literal -2 binary64))) |
(*.f64 a (*.f64 c #s(literal -2 binary64))) |
c |
(*.f64 a #s(literal -2 binary64)) |
a |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 #s(literal -4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
(*.f64 a #s(literal -4 binary64)) |
a |
#s(literal -4 binary64) |
(/.f64 c (*.f64 b b)) |
c |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.9% | (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) |
| ✓ | accuracy | 89.3% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 80.8% | (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
| ✓ | accuracy | 76.7% | (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) a) |
| ✓ | accuracy | 95.7% | (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
| ✓ | accuracy | 88.5% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 100.0% | (-.f64 (neg.f64 b) (neg.f64 b)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) a) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 100.0% | (/.f64 b (neg.f64 a)) |
| ✓ | accuracy | 100.0% | (neg.f64 a) |
| ✓ | accuracy | 100.0% | (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 76.7% | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
| 47.0ms | 188× | 0 | valid |
| 18.0ms | 68× | 1 | exit |
Compiled 237 to 34 computations (85.7% saved)
ival-div: 14.0ms (33.4% of total)ival-mult: 12.0ms (28.6% of total)ival-sqrt: 4.0ms (9.5% of total)adjust: 3.0ms (7.1% of total)ival-sub: 3.0ms (7.1% of total)ival-add: 2.0ms (4.8% of total)ival-neg: 2.0ms (4.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))> |
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))> |
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))> |
#<alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))> |
#<alt (neg.f64 a)> |
#<alt (/.f64 b (neg.f64 a))> |
#<alt (neg.f64 b)> |
#<alt (*.f64 #s(literal 2 binary64) a)> |
#<alt (-.f64 (neg.f64 b) (neg.f64 b))> |
#<alt (/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))> |
#<alt (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))> |
#<alt (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)> |
#<alt (*.f64 a #s(literal -2 binary64))> |
#<alt (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))> |
#<alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))> |
#<alt (/.f64 c (*.f64 b b))> |
#<alt (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))> |
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 a)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* a (+ (* -4 (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a))))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* c (+ (* -4 (/ a (pow b 2))) (/ 1 c)))> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c))))> |
#<alt (* -4 (/ (* a c) (pow b 2)))> |
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))> |
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))> |
#<alt (/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt 1> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
#<alt (+ 1 (* -4 (/ (* a c) (pow b 2))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | a | @ | -inf | (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) |
| 2.0ms | a | @ | 0 | (/ b (neg a)) |
| 2.0ms | b | @ | -inf | (/ (- (neg b) (sqrt (+ (* a (* c -4)) (* b b)))) (* 2 a)) |
| 1.0ms | a | @ | inf | (sqrt (* (* b b) (+ (* (* a -4) (/ c (* b b))) 1))) |
| 1.0ms | b | @ | 0 | (/ (* c (* a -2)) b) |
| 1× | batch-egg-rewrite |
| 794× | lower-*.f32 |
| 780× | lower-*.f64 |
| 768× | lower-fma.f32 |
| 764× | lower-fma.f64 |
| 686× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 135 |
| 0 | 51 | 123 |
| 1 | 197 | 122 |
| 0 | 1354 | 122 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(neg.f64 a) |
(/.f64 b (neg.f64 a)) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(-.f64 (neg.f64 b) (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(*.f64 a #s(literal -2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))) |
(/.f64 c (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 10 050× | lower-fma.f64 |
| 10 050× | lower-fma.f32 |
| 8 134× | lower-*.f64 |
| 8 134× | lower-*.f32 |
| 2 290× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 5650 |
| 1 | 1783 | 5615 |
| 2 | 5937 | 5551 |
| 0 | 8271 | 5282 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
1 |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(* -4 (/ (* a c) (pow b 2))) |
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(* -4 (/ (* a c) (pow b 2))) |
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a)))) |
1 |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(* -4 (/ (* a c) (pow b 2))) |
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c))) |
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c))) |
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c))) |
(* -4 (/ (* a c) (pow b 2))) |
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c)))) |
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c)))) |
(* -4 (/ (* a c) (pow b 2))) |
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2)) |
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2)) |
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2)) |
1 |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
1 |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
| Outputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 a (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 a c) (*.f64 b (*.f64 b b))) (/.f64 a b)))) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(fma.f64 b (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) b) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(fma.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b)))) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
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(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
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(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(* -1 (/ c b)) |
(/.f64 c (neg.f64 b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(neg.f64 (/.f64 (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
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(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 a (*.f64 c (/.f64 c (*.f64 b b))) c))) (neg.f64 b)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 a (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 b #s(literal 1/2 binary64))) a)) |
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(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64)))) a)) a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(-.f64 (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) c) (/.f64 c b)) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (*.f64 c c) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b)))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 c (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a)))))) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (*.f64 a c))) (fma.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (*.f64 a (*.f64 a a)))))) #s(literal -1/4 binary64)) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(fma.f64 c (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (neg.f64 b)) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
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(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
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(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
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(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) |
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(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
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(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
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b |
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(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 c)) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (fma.f64 b (/.f64 b a) (*.f64 c #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
(/ c (pow b 2)) |
(/.f64 c (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* -4 (/ (* a c) (pow b 2))) |
(*.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) |
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* a (+ (* -4 (/ c (pow b 2))) (/ 1 a))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* -4 (/ (* a c) (pow b 2))) |
(*.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) |
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a)))) |
(fma.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a)))) |
(fma.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
(* -1 (* a (- (* 4 (/ c (pow b 2))) (/ 1 a)))) |
(fma.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* -4 (/ (* a c) (pow b 2))) |
(*.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) |
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* c (+ (* -4 (/ a (pow b 2))) (/ 1 c))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(* -4 (/ (* a c) (pow b 2))) |
(*.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) |
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))) (neg.f64 c) #s(literal 1 binary64)) |
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))) (neg.f64 c) #s(literal 1 binary64)) |
(* -1 (* c (- (* 4 (/ a (pow b 2))) (/ 1 c)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b))) (neg.f64 c) #s(literal 1 binary64)) |
(* -4 (/ (* a c) (pow b 2))) |
(*.f64 c (*.f64 #s(literal -4 binary64) (/.f64 a (*.f64 b b)))) |
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2)) |
(/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) |
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2)) |
(/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) |
(/ (+ (* -4 (* a c)) (pow b 2)) (pow b 2)) |
(/.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(+ 1 (* -4 (/ (* a c) (pow b 2)))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 553 | 4856 |
| 1 | 554 | 4856 |
| 0 | 554 | 4856 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))) |
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(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(-.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) a) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 a)) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(+.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b))))) |
(sqrt.f64 (*.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 b (*.f64 b #s(literal 1 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b (neg.f64 b))) (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) |
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(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 b (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b)) |
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) b b) b) |
(neg.f64 (/.f64 c (*.f64 b (neg.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b b))) |
(/.f64 c (*.f64 b b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) |
(/.f64 (neg.f64 c) (*.f64 b (neg.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) c))) |
(/.f64 (/.f64 c b) b) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b b)) |
(pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b b))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 b (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) c) |
(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) |
(+.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 c (*.f64 b b)) (*.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) a #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) |
Compiled 18 603 to 588 computations (96.8% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 042 | 2 | 1 044 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 044 | 8 | 1 052 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.0% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 38.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 36.5% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 28.9% | (/.f64 c (neg.f64 b)) |
| ✓ | 37.1% | (/.f64 b (neg.f64 a)) |
| ▶ | 37.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ▶ | 7.8% | #s(literal 0 binary64) |
Compiled 102 to 71 computations (30.4% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (neg.f64 b) |
| ✓ | cost-diff | 0 | (/.f64 c (neg.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 1 120× | lower-fma.f64 |
| 1 120× | lower-fma.f32 |
| 768× | lower-*.f32 |
| 762× | lower-*.f64 |
| 452× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 71 |
| 0 | 28 | 71 |
| 1 | 46 | 71 |
| 2 | 98 | 71 |
| 3 | 208 | 70 |
| 4 | 354 | 70 |
| 5 | 665 | 70 |
| 6 | 1494 | 70 |
| 7 | 2044 | 70 |
| 8 | 2294 | 70 |
| 9 | 2483 | 70 |
| 10 | 2561 | 70 |
| 11 | 2595 | 70 |
| 12 | 2605 | 70 |
| 13 | 2605 | 70 |
| 14 | 2611 | 70 |
| 0 | 2611 | 70 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 100.0% | (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 82.5% | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 c (neg.f64 b)) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| 37.0ms | 80× | 0 | invalid |
| 36.0ms | 176× | 0 | valid |
Compiled 73 to 19 computations (74% saved)
ival-mult: 29.0ms (69.1% of total)ival-div: 7.0ms (16.7% of total)ival-sub: 2.0ms (4.8% of total)ival-sqrt: 2.0ms (4.8% of total)ival-neg: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (/.f64 c b) (/.f64 b a))> |
#<alt (/.f64 b a)> |
#<alt (/.f64 c b)> |
#<alt (neg.f64 b)> |
#<alt (/.f64 c (neg.f64 b))> |
#<alt (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))> |
#<alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))> |
#<alt (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (- (/ c b) (/ b a))> |
#<alt (- (/ c b) (/ b a))> |
#<alt (- (/ c b) (/ b a))> |
#<alt (/ c b)> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (/ c b)> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (/ c b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (- (/ (* a c) b) b) a)> |
#<alt (/ (- (/ (* a c) b) b) a)> |
#<alt (/ (- (/ (* a c) b) b) a)> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 b)> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ c b))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))> |
#<alt (* -1/2 (/ b a))> |
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -1 b)> |
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))> |
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))> |
#<alt (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))> |
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))> |
#<alt (* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (+ b (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | 0 | (/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a)) |
| 1.0ms | a | @ | 0 | (sqrt (* a (* c -4))) |
| 1.0ms | c | @ | 0 | (/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a)) |
| 1.0ms | b | @ | -inf | (/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a)) |
| 0.0ms | b | @ | 0 | (/ (- (neg b) (sqrt (* a (* c -4)))) (* 2 a)) |
| 1× | batch-egg-rewrite |
| 5 082× | lower-*.f32 |
| 5 076× | lower-*.f64 |
| 4 932× | lower-/.f32 |
| 4 924× | lower-/.f64 |
| 4 376× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 47 |
| 0 | 27 | 47 |
| 1 | 107 | 47 |
| 2 | 873 | 47 |
| 0 | 8322 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 c b) |
(neg.f64 b) |
(/.f64 c (neg.f64 b)) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| Outputs |
|---|
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a))) |
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a)))) |
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 (/.f64 b c) (neg.f64 b)) (*.f64 (/.f64 b c) (neg.f64 a)))) |
(-.f64 (/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 (/.f64 b c) #s(literal 1 binary64)) (*.f64 (/.f64 b c) (/.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))) |
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 c b)) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (/.f64 c b)) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) |
(/.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) (neg.f64 a))) |
(/.f64 (-.f64 (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) |
(/.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) b))) (neg.f64 (*.f64 b a))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (+.f64 (/.f64 c b) (/.f64 b a)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))) (neg.f64 (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) b) a) |
(/.f64 (fma.f64 c (neg.f64 a) (*.f64 b b)) (*.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 c a (*.f64 b (neg.f64 b))) (*.f64 b a)) |
(/.f64 (fma.f64 c (neg.f64 (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 c (neg.f64 (/.f64 a b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (neg.f64 (/.f64 a b)))) |
(/.f64 (fma.f64 c (/.f64 a b) (neg.f64 b)) (*.f64 b (/.f64 a b))) |
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 c) a (*.f64 b b)) (*.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 (neg.f64 a)) (*.f64 b b)) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 (/.f64 a b)) (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) (neg.f64 (/.f64 a b)))) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (/.f64 a b))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) (neg.f64 a))) |
(/.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) a)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 b))) (*.f64 (/.f64 b c) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)) (*.f64 (/.f64 b c) #s(literal 1 binary64))) (*.f64 (/.f64 b c) (neg.f64 (/.f64 a b)))) |
(/.f64 (+.f64 (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1 binary64))) (*.f64 (/.f64 b c) (/.f64 a b))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) b)) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) (neg.f64 a))) |
(/.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) (neg.f64 b))) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) a)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) (neg.f64 b))) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) (neg.f64 (/.f64 a b)))) |
(/.f64 (+.f64 (/.f64 a b) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 b c) #s(literal 1 binary64)) (/.f64 a b))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (/.f64 b (neg.f64 c)) b)) (*.f64 (/.f64 b (neg.f64 c)) (neg.f64 a))) |
(/.f64 (+.f64 (neg.f64 a) (*.f64 (/.f64 b (neg.f64 c)) (neg.f64 b))) (*.f64 (/.f64 b (neg.f64 c)) a)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 a)) (*.f64 (/.f64 b (neg.f64 c)) (neg.f64 b))) (*.f64 (/.f64 b (neg.f64 c)) (neg.f64 (neg.f64 a)))) |
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(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 b b) (+.f64 #s(literal 0 binary64) b))) |
(neg.f64 b) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (neg.f64 b))))) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) b) |
(exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (neg.f64 c) b) |
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (neg.f64 c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (neg.f64 c))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (neg.f64 c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (neg.f64 c)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b)) |
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(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) b) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) b) |
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(pow.f64 (/.f64 b (neg.f64 c)) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
| 1× | egg-herbie |
| 7 128× | lower-fma.f64 |
| 7 128× | lower-fma.f32 |
| 4 202× | lower-*.f64 |
| 4 202× | lower-*.f32 |
| 1 446× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1534 |
| 1 | 331 | 1531 |
| 2 | 979 | 1531 |
| 3 | 2870 | 1486 |
| 4 | 6337 | 1486 |
| 0 | 8278 | 1434 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(* -1/2 (/ b a)) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)) |
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)) |
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))) |
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))) |
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (/ b a)) |
(/.f64 b (neg.f64 a)) |
(/ (- (/ (* a c) b) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ (- (/ (* a c) b) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ (- (/ (* a c) b) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1/2 (/ b a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1/2 (/ b a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 b) |
(neg.f64 b) |
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) a) b)) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) a) b)) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) a) b)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(-.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) b) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(-.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) b) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(-.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) b) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (+ b (* (sqrt (* a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b)) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b)) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -4 binary64))) b)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(fma.f64 c (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b)) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(fma.f64 c (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b)) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(fma.f64 c (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b)) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1282 | 9675 |
| 1 | 1283 | 9675 |
| 0 | 1283 | 9675 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a))) |
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a)))) |
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a))) |
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(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(-.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(-.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(fma.f64 b #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(fma.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))) (neg.f64 b)) |
(fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (neg.f64 b)) |
(neg.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 b b (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (*.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (*.f64 b (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
| Outputs |
|---|
(+.f64 (/.f64 c b) (/.f64 b (neg.f64 a))) |
(+.f64 (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 c a) (*.f64 b a)) (/.f64 (*.f64 b b) (*.f64 b a))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (+.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 c b) (/.f64 b a)))) |
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 a))) (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 c (/.f64 a b)) (*.f64 b (/.f64 a b))) (/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) a)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) a))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 b) (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 (neg.f64 b) (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) (/.f64 a b)) (*.f64 (neg.f64 b) (/.f64 a b))) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b c) a)) (/.f64 (*.f64 (/.f64 b c) b) (*.f64 (/.f64 b c) a))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 (/.f64 b c) (neg.f64 b)) (*.f64 (/.f64 b c) (neg.f64 a)))) |
(-.f64 (/.f64 (/.f64 a b) (*.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (*.f64 (/.f64 b c) #s(literal 1 binary64)) (*.f64 (/.f64 b c) (/.f64 a b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) (/.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))) |
(fma.f64 c (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 c b)) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (/.f64 c b)) |
(fma.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 c b) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)) (/.f64 c b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) c (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)) (/.f64 b (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b) (/.f64 b (neg.f64 a))) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 b (neg.f64 a))) |
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) (+.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (-.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b a) (fma.f64 c a (*.f64 (neg.f64 b) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 c b) (/.f64 b a)) (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (+.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 b b)) (/.f64 (*.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a)))) |
(/.f64 (-.f64 (*.f64 c (neg.f64 a)) (*.f64 b (neg.f64 b))) (*.f64 b (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) (*.f64 b #s(literal 1 binary64))) (*.f64 b (/.f64 a b))) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) (*.f64 (neg.f64 b) a)) |
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(pow.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 c c) (*.f64 b b))) (-.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a))) |
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(neg.f64 (/.f64 b (neg.f64 a))) |
(/.f64 b a) |
(/.f64 b (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 (neg.f64 a)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a b) #s(literal 1 binary64)))) |
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(/.f64 (*.f64 c #s(literal 1 binary64)) b) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 b b) (+.f64 #s(literal 0 binary64) b))) |
(neg.f64 b) |
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(exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 c b)) |
(neg.f64 (/.f64 c b)) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (neg.f64 c))))) |
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(pow.f64 (/.f64 b (neg.f64 c)) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) |
(fabs.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 1/2 binary64)))) |
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(/.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 1/2 binary64)) a) |
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (-.f64 (neg.f64 b) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) |
(/.f64 (fma.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 (*.f64 b (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -4 binary64) a) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (neg.f64 b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (*.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 #s(literal 0 binary64) (-.f64 b (neg.f64 (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (fma.f64 (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (*.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))) (/.f64 (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (fma.f64 (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (*.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))))))) |
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (neg.f64 (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))))) |
(*.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 #s(literal -4 binary64) a)))))) |
Compiled 4 239 to 80 computations (98.1% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 455 | 1 | 456 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 455 | 9 | 464 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.0% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 38.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 36.5% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 28.9% | (/.f64 c (neg.f64 b)) |
| ▶ | 7.3% | (/.f64 c b) |
| ✓ | 37.1% | (/.f64 b (neg.f64 a)) |
| ✓ | 37.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ✓ | 7.8% | #s(literal 0 binary64) |
Compiled 108 to 75 computations (30.6% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 c b) |
| 2× | lift-/.f64 |
| 2× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 5 |
| 0 | 4 | 5 |
| 0 | 4 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 c b) |
c |
b |
| Outputs |
|---|
(/.f64 c b) |
c |
b |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| 9.0ms | 256× | 0 | valid |
Compiled 7 to 6 computations (14.3% saved)
ival-div: 3.0ms (87% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 c b)> |
| Outputs |
|---|
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
#<alt (/ c b)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | 0 | (/ c b) |
| 0.0ms | c | @ | inf | (/ c b) |
| 0.0ms | c | @ | -inf | (/ c b) |
| 0.0ms | b | @ | -inf | (/ c b) |
| 0.0ms | b | @ | inf | (/ c b) |
| 1× | batch-egg-rewrite |
| 520× | lower-*.f64 |
| 520× | lower-*.f32 |
| 470× | lower-/.f32 |
| 468× | lower-/.f64 |
| 134× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 0 | 4 | 3 |
| 1 | 12 | 3 |
| 2 | 47 | 3 |
| 3 | 216 | 3 |
| 0 | 1204 | 3 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 c b) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 c b)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 c b)) |
(neg.f64 (/.f64 c (neg.f64 b))) |
(/.f64 c b) |
(/.f64 (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (neg.f64 b) (*.f64 c c))) |
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) c)) (*.f64 b b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) (neg.f64 c))) (*.f64 (neg.f64 b) b)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) (neg.f64 b)) (*.f64 (neg.f64 b) (/.f64 b (neg.f64 c)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (*.f64 c c) b)) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 b) (*.f64 c c))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c))) (*.f64 (neg.f64 b) c)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 c c))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c))) (*.f64 b c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c (neg.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)) (*.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)))) (/.f64 c (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 c c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c c))) c) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) b)) (*.f64 c c)) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal -1 binary64) b)) c) |
(pow.f64 (/.f64 c b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 b c))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 c b) #s(literal 1 binary64)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 c)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) b) |
| 1× | egg-herbie |
| 2× | lower-/.f32 |
| 2× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 72 |
| 0 | 3 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
| Outputs |
|---|
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
| 1× | egg-herbie |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 544 |
| 1 | 136 | 544 |
| 0 | 136 | 544 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 c b)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 c b)) |
(neg.f64 (/.f64 c (neg.f64 b))) |
(/.f64 c b) |
(/.f64 (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (neg.f64 b) (*.f64 c c))) |
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) c)) (*.f64 b b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) (neg.f64 c))) (*.f64 (neg.f64 b) b)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) (neg.f64 b)) (*.f64 (neg.f64 b) (/.f64 b (neg.f64 c)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (*.f64 c c) b)) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 b) (*.f64 c c))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c))) (*.f64 (neg.f64 b) c)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 c c))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c))) (*.f64 b c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c (neg.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)) (*.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)))) (/.f64 c (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 c c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c c))) c) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) b)) (*.f64 c c)) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal -1 binary64) b)) c) |
(pow.f64 (/.f64 c b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 b c))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 c b) #s(literal 1 binary64)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 c)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) b) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 c b)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 c b)) |
(neg.f64 (/.f64 c (neg.f64 b))) |
(/.f64 c b) |
(/.f64 (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 c))) |
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 c (*.f64 c c))) (*.f64 (neg.f64 b) (*.f64 c c))) |
(/.f64 (neg.f64 (*.f64 c c)) (*.f64 (neg.f64 b) c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) c)) (*.f64 b b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 b) (neg.f64 c))) (*.f64 (neg.f64 b) b)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) (neg.f64 b)) (*.f64 (neg.f64 b) (/.f64 b (neg.f64 c)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (*.f64 c c) (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (*.f64 c c) b)) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c b)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 b) (*.f64 c c))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c))) (*.f64 (neg.f64 b) c)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 b (*.f64 c c))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c))) (*.f64 b c)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c (neg.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)) (*.f64 #s(literal 0 binary64) (/.f64 c (neg.f64 b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 b)) (/.f64 c (neg.f64 b)))) (/.f64 c (neg.f64 b))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c (*.f64 c c)))) (*.f64 c c)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (*.f64 c c))) c) |
(/.f64 (*.f64 (neg.f64 (*.f64 c (*.f64 c c))) (/.f64 #s(literal -1 binary64) b)) (*.f64 c c)) |
(/.f64 (*.f64 (neg.f64 (*.f64 c c)) (/.f64 #s(literal -1 binary64) b)) c) |
(pow.f64 (/.f64 c b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 b c))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 c b) #s(literal 1 binary64)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) c) |
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 c)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (neg.f64 b)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 c b) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (*.f64 (pow.f64 b #s(literal -1/2 binary64)) c)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (*.f64 c (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 c b) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b)))) (*.f64 b b)) |
(*.f64 (/.f64 (neg.f64 c) (neg.f64 (*.f64 b b))) b) |
Compiled 147 to 4 computations (97.3% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 0 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 48 | 9 | 57 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 23.0% | (/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 38.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 36.5% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 28.9% | (/.f64 c (neg.f64 b)) |
| ✓ | 7.3% | (/.f64 c b) |
| ✓ | 37.1% | (/.f64 b (neg.f64 a)) |
| ✓ | 37.0% | (-.f64 (/.f64 c b) (/.f64 b a)) |
| ✓ | 7.8% | #s(literal 0 binary64) |
Compiled 231 to 125 computations (45.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
4 calls:
| 5.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 4.0ms | b |
| 4.0ms | c |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 1 | a |
| 85.7% | 3 | b |
| 58.6% | 1 | c |
| 80.5% | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
2 calls:
| 3.0ms | b |
| 3.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 3 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 63.7% | 2 | b |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
(/.f64 c (neg.f64 b)) |
(/.f64 (-.f64 (neg.f64 b) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 c (neg.f64 b)) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 c b) |
(/.f64 b (neg.f64 a)) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 b (neg.f64 a)) |
4 calls:
| 3.0ms | a |
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.1% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 37.1% | 1 | a |
| 37.1% | 1 | c |
| 42.1% | 2 | b |
Compiled 32 to 23 computations (28.1% saved)
Total -0.6b remaining (-1.1%)
Threshold costs -0.6b (-1.1%)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 c b) |
| Outputs |
|---|
#s(literal 0 binary64) |
4 calls:
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| 1.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.8% | 1 | a |
| 7.8% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 7.8% | 1 | c |
| 7.8% | 1 | b |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.1181431223103183e+105 | 2.0865276939137555e+108 |
| 28.0ms | -5.572789606325681e-73 | -9.346077657757816e-83 |
| 18.0ms | 231× | 0 | valid |
| 5.0ms | 36× | 1 | valid |
| 5.0ms | 21× | 2 | valid |
| 3.0ms | 45× | 0 | invalid |
Compiled 551 to 388 computations (29.6% saved)
ival-mult: 7.0ms (32.4% of total)ival-sub: 4.0ms (18.5% of total)ival-div: 3.0ms (13.9% of total)ival-sqrt: 3.0ms (13.9% of total)ival-neg: 2.0ms (9.3% of total)adjust: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 3.0064195606214783e-44 | 6.2466896233009195e-34 |
| 1.0ms | -5.572789606325681e-73 | -9.346077657757816e-83 |
| 18.0ms | 160× | 0 | valid |
| 3.0ms | 36× | 0 | invalid |
Compiled 553 to 410 computations (25.9% saved)
ival-mult: 10.0ms (64.3% of total)ival-sub: 2.0ms (12.9% of total)ival-div: 1.0ms (6.4% of total)ival-sqrt: 1.0ms (6.4% of total)ival-neg: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | -1.7262930120339467e-305 | 3.6797269943575574e-299 |
| 12.0ms | 160× | 0 | valid |
| 7.0ms | 81× | 0 | invalid |
Compiled 213 to 150 computations (29.6% saved)
ival-mult: 6.0ms (46.6% of total)ival-sub: 2.0ms (15.5% of total)ival-div: 2.0ms (15.5% of total)ival-sqrt: 1.0ms (7.8% of total)ival-neg: 1.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.7262930120339467e-305 | 3.6797269943575574e-299 |
Compiled 183 to 140 computations (23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.6797269943575574e-299 | 8.190181144456296e-296 |
| 9.0ms | 128× | 0 | valid |
| 4.0ms | 55× | 0 | invalid |
Compiled 127 to 108 computations (15% saved)
ival-mult: 4.0ms (45% of total)ival-sub: 2.0ms (22.5% of total)ival-div: 1.0ms (11.3% of total)ival-sqrt: 1.0ms (11.3% of total)ival-neg: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 36× | +-commutative_binary64 |
| 32× | *-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
| 26× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 104 |
| 1 | 57 | 104 |
| 2 | 79 | 104 |
| 3 | 105 | 104 |
| 4 | 122 | 104 |
| 5 | 136 | 104 |
| 6 | 142 | 104 |
| 7 | 145 | 104 |
| 8 | 146 | 104 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal 6974566143351135/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 439999999999999999315120055472389679233685989689650864118632251174274714672649715607157929025096812716883968 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -8020829156817039/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 c (neg.f64 b)) (if (<=.f64 b #s(literal 5267953421726493/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (neg.f64 b)) (/.f64 b (neg.f64 a))) |
(if (<=.f64 b #s(literal 6974566143351135/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 b (neg.f64 a))) |
#s(literal 0 binary64) |
| 10 050× | lower-fma.f64 |
| 10 050× | lower-fma.f32 |
| 9 868× | lower-fma.f64 |
| 9 868× | lower-fma.f32 |
| 8 134× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3114 |
| 1 | 1718 | 3085 |
| 2 | 5754 | 3046 |
| 0 | 8116 | 2886 |
| 0 | 564 | 5650 |
| 1 | 1783 | 5615 |
| 2 | 5937 | 5551 |
| 0 | 8271 | 5282 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 265 to 151 computations (43% saved)
Compiled 344 to 152 computations (55.8% saved)
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