The quadratic formula (r1)
Time bar (total: 19.1s)
| 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)
| 527.0ms | 5 500× | 0 | valid |
| 265.0ms | 1 237× | 2 | valid |
| 247.0ms | 1 333× | 1 | valid |
| 93.0ms | 931× | 0 | invalid |
| 49.0ms | 186× | 3 | valid |
ival-mult: 310.0ms (35.3% of total)ival-div: 145.0ms (16.5% of total)ival-sqrt: 110.0ms (12.5% of total)ival-neg: 84.0ms (9.6% of total)ival-sub: 77.0ms (8.8% of total)ival-add: 77.0ms (8.8% of total)adjust: 54.0ms (6.2% of total)exact: 10.0ms (1.1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.5% of total)| 2× | egg-herbie |
| 1 674× | div-sub |
| 1 120× | accelerator-lowering-fma.f32 |
| 1 120× | accelerator-lowering-fma.f64 |
| 1 048× | sub-neg |
| 796× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 175 |
| 1 | 170 | 160 |
| 2 | 474 | 160 |
| 3 | 1250 | 160 |
| 4 | 3323 | 160 |
| 5 | 6278 | 160 |
| 0 | 14 | 17 |
| 1 | 31 | 16 |
| 2 | 68 | 16 |
| 3 | 151 | 16 |
| 4 | 231 | 16 |
| 5 | 372 | 16 |
| 6 | 654 | 16 |
| 7 | 1122 | 16 |
| 8 | 2225 | 16 |
| 9 | 2509 | 16 |
| 10 | 2626 | 16 |
| 11 | 2681 | 16 |
| 12 | 2682 | 16 |
| 13 | 2682 | 16 |
| 14 | 2688 | 16 |
| 0 | 2688 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| Inputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
| Outputs |
|---|
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2)) |
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2)) |
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))) |
(/ (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* a -2)) |
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))) |
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2)) |
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) |
(/ (- (sqrt (+ (* a a) (* b (* c -4)))) a) (* b 2)) |
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) |
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* c 2)) |
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) |
(/ (- (sqrt (+ (* c c) (* (* b a) -4))) c) (* a 2)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 53 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 21 | 2 | (2.8114016145053404e-99 3.3633405067944947e+199 3.1563974842647053e-124) | 2 | (3.2156523490494826e-113 4.777772117518285e+250 9.141095600176013e+49) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 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 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 119 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 119 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 20 | |
| ↳ | (*.f64 b b) | overflow | 106 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 53 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 21 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 31 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 39 | |
| ↳ | (*.f64 b b) | underflow | 42 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 8 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 39 | |
| ↳ | (*.f64 b b) | underflow | 42 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 106 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 0 |
| - | 27 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 0 |
| - | 27 | 0 | 95 |
| number | freq |
|---|---|
| 0 | 95 |
| 1 | 118 |
| 2 | 42 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 97.0ms | 346× | 0 | valid |
| 33.0ms | 66× | 1 | valid |
| 22.0ms | 82× | 2 | valid |
| 5.0ms | 18× | 3 | valid |
Compiled 184 to 60 computations (67.4% saved)
ival-mult: 15.0ms (35.1% of total)ival-sqrt: 6.0ms (14% of total)ival-div: 5.0ms (11.7% of total)adjust: 4.0ms (9.4% of total)ival-neg: 4.0ms (9.4% of total)ival-add: 4.0ms (9.4% of total)ival-sub: 3.0ms (7% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.3% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| 1 120× | accelerator-lowering-fma.f32 |
| 1 120× | accelerator-lowering-fma.f64 |
| 744× | *-lowering-*.f32 |
| 744× | *-lowering-*.f64 |
| 422× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 1 | 26 | 66 |
| 2 | 51 | 66 |
| 3 | 76 | 66 |
| 4 | 134 | 66 |
| 5 | 208 | 66 |
| 6 | 314 | 66 |
| 7 | 540 | 66 |
| 8 | 1106 | 66 |
| 9 | 1964 | 66 |
| 10 | 2221 | 66 |
| 11 | 2451 | 66 |
| 12 | 2541 | 66 |
| 13 | 2569 | 66 |
| 14 | 2587 | 66 |
| 15 | 2595 | 66 |
| 0 | 2595 | 62 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(* a 2) |
2 |
| Outputs |
|---|
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 2 binary64)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.7% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 92.9% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 81.4% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 53.7% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 25.0ms | 173× | 0 | valid |
| 9.0ms | 41× | 2 | valid |
| 5.0ms | 33× | 1 | valid |
| 2.0ms | 9× | 3 | valid |
Compiled 68 to 15 computations (77.9% saved)
ival-mult: 16.0ms (57.1% of total)ival-div: 3.0ms (10.7% of total)ival-sqrt: 3.0ms (10.7% of total)adjust: 2.0ms (7.1% of total)ival-sub: 2.0ms (7.1% of total)ival-add: 2.0ms (7.1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (+ (* b b) (* a (* c -4)))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* (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 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -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 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -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 (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<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 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<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 (* (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))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (sqrt (+ (* b b) (* a (* c -4)))) |
| 1.0ms | a | @ | inf | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 1.0ms | b | @ | inf | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 1.0ms | b | @ | 0 | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 1.0ms | c | @ | -inf | (sqrt (+ (* b b) (* a (* c -4)))) |
| 1× | batch-egg-rewrite |
| 5 882× | accelerator-lowering-fma.f32 |
| 5 882× | accelerator-lowering-fma.f64 |
| 5 244× | *-lowering-*.f32 |
| 5 244× | *-lowering-*.f64 |
| 3 202× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 47 |
| 1 | 61 | 47 |
| 2 | 493 | 47 |
| 3 | 6437 | 47 |
| 0 | 8508 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal -2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
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(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
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(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (pow.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (pow.f64 (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal 2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64))) |
(fabs.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) |
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(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))) |
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(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(+.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 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(exp.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64))) |
(fabs.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 b b (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(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 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 b (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
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(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.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)))))) (*.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (+.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (-.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) (+.f64 (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 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 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 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) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64)))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 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 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))))) (+.f64 (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 (*.f64 c #s(literal -4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64))) (-.f64 (*.f64 b (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 #s(literal 16 binary64) (*.f64 a c))) (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(*.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) #s(literal -16 binary64))) (-.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal -64 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| 1× | egg-herbie |
| 11 550× | accelerator-lowering-fma.f32 |
| 11 550× | accelerator-lowering-fma.f64 |
| 7 678× | *-lowering-*.f32 |
| 7 678× | *-lowering-*.f64 |
| 2 532× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 543 | 3249 |
| 1 | 1746 | 3208 |
| 2 | 6131 | 3180 |
| 0 | 8163 | 3023 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -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)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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)))) |
| Outputs |
|---|
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) 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))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/64 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) a)) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))) b) |
(* -1 (/ b a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) c) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a))) b))) (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b))) (/.f64 c b)) |
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/64 binary64)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) b)) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b))))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c)))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
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b |
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(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 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 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))))))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (*.f64 a (/.f64 (/.f64 (/.f64 (*.f64 c c) b) b) b)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(+.f64 b (*.f64 a (+.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 c c) b) b)) b) (/.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.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 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))))) |
(* -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 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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))))) (-.f64 #s(literal 0 binary64) a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (/.f64 a b) (*.f64 a (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) c))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 a #s(literal -2 binary64)) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) |
(* 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 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)))) |
(* 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 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 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))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 c a)) (*.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 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c 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))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (/.f64 a b)) b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
Compiled 24 729 to 2 137 computations (91.4% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 594 | 16 | 610 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 595 | 16 | 611 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 36.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
| 10.8% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 27.9% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 21.6% | (/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) | |
| 25.5% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) | |
| 36.5% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) | |
| 25.4% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) | |
| 39.1% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) | |
| 50.2% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 50.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) | |
| 38.2% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) | |
| ▶ | 34.2% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ▶ | 50.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ▶ | 34.7% | (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
Compiled 622 to 398 computations (36% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 c (*.f64 a #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) b) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b)) |
| ✓ | cost-diff | 128 | (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| 7 142× | accelerator-lowering-fma.f32 |
| 7 142× | accelerator-lowering-fma.f64 |
| 4 210× | *-lowering-*.f32 |
| 4 210× | *-lowering-*.f64 |
| 1 488× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 285 |
| 1 | 85 | 283 |
| 2 | 207 | 283 |
| 3 | 518 | 275 |
| 4 | 1329 | 275 |
| 5 | 3771 | 275 |
| 6 | 6473 | 275 |
| 0 | 8304 | 265 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/ 1/2 a) |
1/2 |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
(* c -4) |
c |
-4 |
(- 0 (/ c b)) |
0 |
(/ c b) |
c |
b |
(* c (- (/ -1 b) (/ (/ (* c (/ a b)) b) b))) |
c |
(- (/ -1 b) (/ (/ (* c (/ a b)) b) b)) |
(/ -1 b) |
-1 |
b |
(/ (/ (* c (/ a b)) b) b) |
(/ (* c (/ a b)) b) |
(* c (/ a b)) |
(/ a b) |
a |
(/ (- (sqrt (* c (* a -4))) b) (* a 2)) |
(- (sqrt (* c (* a -4))) b) |
(sqrt (* c (* a -4))) |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
b |
(* a 2) |
2 |
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a)) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) |
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
2 |
(* a (/ b 2)) |
(/ b 2) |
(* a a) |
| Outputs |
|---|
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(- 0 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
0 |
#s(literal 0 binary64) |
(/ c b) |
(/.f64 c b) |
c |
b |
(* c (- (/ -1 b) (/ (/ (* c (/ a b)) b) b))) |
(*.f64 (/.f64 c b) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (/.f64 c b)) b))) |
c |
(- (/ -1 b) (/ (/ (* c (/ a b)) b) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) (+.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal 1 binary64))) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
-1 |
#s(literal -1 binary64) |
b |
(/ (/ (* c (/ a b)) b) b) |
(/.f64 (*.f64 a (/.f64 c b)) (*.f64 b b)) |
(/ (* c (/ a b)) b) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(* c (/ a b)) |
(*.f64 a (/.f64 c b)) |
(/ a b) |
(/.f64 a b) |
a |
(/ (- (sqrt (* c (* a -4))) b) (* a 2)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(- (sqrt (* c (* a -4))) b) |
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(sqrt (* c (* a -4))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* c (* a -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
b |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) |
(*.f64 a (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 1/2 binary64))) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64))) |
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
2 |
#s(literal 2 binary64) |
(* a (/ b 2)) |
(/.f64 (*.f64 a b) #s(literal 2 binary64)) |
(/ b 2) |
(/.f64 b #s(literal 2 binary64)) |
(* a a) |
(*.f64 a a) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) |
| ✓ | accuracy | 90.9% | (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) |
| ✓ | accuracy | 73.4% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 72.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -4 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 84.8% | (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b) |
| ✓ | accuracy | 98.4% | (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
| ✓ | accuracy | 98.2% | (/.f64 (*.f64 c (/.f64 a b)) b) |
| ✓ | accuracy | 96.6% | (*.f64 c (/.f64 a b)) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 96.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 90.7% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 73.4% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 34.0ms | 120× | 0 | valid |
| 26.0ms | 93× | 0 | invalid |
| 11.0ms | 10× | 3 | valid |
| 10.0ms | 21× | 1 | valid |
| 8.0ms | 12× | 2 | valid |
Compiled 296 to 40 computations (86.5% saved)
ival-mult: 23.0ms (40.3% of total)ival-div: 18.0ms (31.6% of total)ival-sub: 7.0ms (12.3% of total)ival-sqrt: 4.0ms (7% of total)adjust: 2.0ms (3.5% of total)ival-add: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b))> |
#<alt (/ 1/2 a)> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (- 0 (/ c b))> |
#<alt (/ c b)> |
#<alt (* c (- (/ -1 b) (/ (/ (* c (/ a b)) b) b)))> |
#<alt (- (/ -1 b) (/ (/ (* c (/ a b)) b) b))> |
#<alt (/ -1 b)> |
#<alt (/ (/ (* c (/ a b)) b) b)> |
#<alt (/ (- (sqrt (* c (* a -4))) b) (* a 2))> |
#<alt (- (sqrt (* c (* a -4))) b)> |
#<alt (sqrt (* c (* a -4)))> |
#<alt (* c (* a -4))> |
#<alt (/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))> |
#<alt (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2)))> |
#<alt (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a)> |
#<alt (/ (sqrt (+ (* b b) (* a (* c -4)))) 2)> |
#<alt (+ (* b b) (* a (* c -4)))> |
#<alt (* c (/ a b))> |
#<alt (/ (* c (/ a b)) b)> |
#<alt (* a -4)> |
| Outputs |
|---|
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (/ 1/2 a)> |
#<alt (* (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 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)> |
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#<alt b> |
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#<alt b> |
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#<alt (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
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#<alt (* c (- (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) (* 1/2 (/ (* a b) c))))> |
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#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
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#<alt (+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
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#<alt (* 1/2 (* a b))> |
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#<alt (* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))> |
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#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))> |
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#<alt (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
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#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))))> |
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#<alt (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))> |
#<alt (* 1/2 (* (sqrt (* a c)) (sqrt -4)))> |
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#<alt (+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt (* 1/2 b)> |
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#<alt (* 1/2 b)> |
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#<alt (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* 1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* 1/2 b)> |
#<alt (+ (* -1 (/ (* a c) b)) (* 1/2 b))> |
#<alt (+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* 1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (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 (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) b)> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (/ (* a c) (pow b 2))> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
#<alt (* -4 a)> |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | a | @ | -inf | (* c (/ a b)) |
| 19.0ms | c | @ | 0 | (* c (- (/ -1 b) (/ (/ (* c (/ a b)) b) b))) |
| 6.0ms | c | @ | 0 | (/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a)) |
| 2.0ms | c | @ | 0 | (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
| 1.0ms | c | @ | 0 | (/ (- (sqrt (* c (* a -4))) b) (* a 2)) |
| 1× | batch-egg-rewrite |
| 4 960× | *-lowering-*.f32 |
| 4 960× | *-lowering-*.f64 |
| 4 662× | /-lowering-/.f32 |
| 4 662× | /-lowering-/.f64 |
| 2 230× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 209 |
| 1 | 227 | 203 |
| 2 | 2116 | 199 |
| 0 | 8663 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/ 1/2 a) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(- 0 (/ c b)) |
(/ c b) |
(* c (- (/ -1 b) (/ (/ (* c (/ a b)) b) b))) |
(- (/ -1 b) (/ (/ (* c (/ a b)) b) b)) |
(/ -1 b) |
(/ (/ (* c (/ a b)) b) b) |
(/ (- (sqrt (* c (* a -4))) b) (* a 2)) |
(- (sqrt (* c (* a -4))) b) |
(sqrt (* c (* a -4))) |
(* c (* a -4)) |
(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a)) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) |
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
(+ (* b b) (* a (* c -4))) |
(* c (/ a b)) |
(/ (* c (/ a b)) b) |
(* a -4) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a)) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 1 binary64)) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
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(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
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(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (exp.f64 (log.f64 b))) |
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(hypot.f64 (exp.f64 (log.f64 b)) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 c b)) |
(fma.f64 c (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 c b) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 b c) #s(literal 0 binary64)) |
(neg.f64 (/.f64 c b)) |
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(fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) b)) |
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(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
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(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 b b))) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (neg.f64 (neg.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
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(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fabs.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
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(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 c) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) c)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) c))) (sqrt.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1/2 binary64))) |
(fabs.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/2 binary64)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(*.f64 a (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64))) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 a c) #s(literal 1 binary64))) |
(*.f64 (*.f64 c #s(literal -4 binary64)) a) |
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(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
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(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
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(*.f64 (pow.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/2 binary64))) |
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(*.f64 a #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 9 460× | accelerator-lowering-fma.f32 |
| 9 460× | accelerator-lowering-fma.f64 |
| 6 664× | *-lowering-*.f32 |
| 6 664× | *-lowering-*.f64 |
| 6 060× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 942 | 10532 |
| 1 | 3228 | 10304 |
| 0 | 8412 | 9965 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* (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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -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)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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 (/ 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)) |
(/ 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 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a c) (pow b 3))) |
(/ (- (* -1 (pow b 2)) (* a c)) (pow b 3)) |
(/ (- (* -1 (pow b 2)) (* a c)) (pow b 3)) |
(/ (- (* -1 (pow b 2)) (* a c)) (pow b 3)) |
(/ -1 b) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(* -1 (/ (* a c) (pow b 3))) |
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (/ (* a c) (pow b 3))) |
(* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3)))))) |
(* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3)))))) |
(* -1 (* c (- (/ 1 (* b c)) (* -1 (/ a (pow b 3)))))) |
(/ -1 b) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)) |
(* -1 (/ (* a c) (pow b 3))) |
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))) |
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))) |
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3))))) |
(* -1 (/ (* a c) (pow b 3))) |
(* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3)))))) |
(* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3)))))) |
(* -1 (* a (- (/ 1 (* a b)) (* -1 (/ c (pow b 3)))))) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(/ (* a c) (pow b 3)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) 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 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -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 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -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))))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* (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 (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) 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))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ (* b (- (* 1/2 a) (* -1/2 a))) (pow a 2))) |
(* -1 (* b (- (+ (* -1 (/ c (pow b 2))) (/ 1/2 a)) (/ -1/2 a)))) |
(* -1 (* b (- (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1/2 a))) (/ -1/2 a)))) |
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1/2 a)))) (/ -1/2 a)))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* -1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 1/2 a)))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) (* 1/2 a)))) |
(* -1 (/ (* (pow a 2) c) b)) |
(/ (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* -1 (* b (- (* 1/2 a) (* -1/2 a)))) |
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) (* -1/2 a)))) |
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))) (* -1/2 a)))) |
(* -1 (* b (- (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))) (* -1/2 a)))) |
(* -1 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a)))) |
(* (pow a 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 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 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))) |
(* -1 (/ (* (pow a 2) c) b)) |
(* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b)))) |
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (- (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (* 1/2 (/ (* a b) c)))) |
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) (* 1/2 (/ (* a b) c)))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* 1/4 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* 1/2 (* a b)) |
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))) |
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))) |
(* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))) |
(* -1/2 (* a b)) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))) |
(* 1/2 (* a b)) |
(* a (+ (* -1 (/ (* a c) b)) (* 1/2 b))) |
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))) |
(* 1/2 (* a b)) |
(+ (* -1 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) |
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b))))) |
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* c (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* 1/2 b) |
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))) |
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1/2 b) |
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/2 b) |
(+ (* -1 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* 1/2 b) |
(+ (* -1 (/ (* a c) b)) (* 1/2 b)) |
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3)))))))) |
(* 1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (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)))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
(* -4 a) |
| Outputs |
|---|
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(-.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(-.f64 (*.f64 a (-.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a)) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 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))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) c)) b) |
(* -1 (/ b a)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (/.f64 c a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)))) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) c)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* -1 (/ c b)) |
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(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) #s(literal 1/1024 binary64))))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b)))))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (-.f64 #s(literal 0 binary64) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(/ (* a c) (pow b 2)) |
(*.f64 a (/.f64 c (*.f64 b b))) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
(* -4 a) |
(*.f64 a #s(literal -4 binary64)) |
Compiled 47 581 to 5 012 computations (89.5% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 769 | 21 | 1 790 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 775 | 31 | 1 806 |
| Status | Accuracy | Program |
|---|---|---|
| 19.9% | (fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 21.5% | (fma.f64 (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 36.1% | (/.f64 (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) (*.f64 a a)) | |
| 30.3% | (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/4 binary64)) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 50.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
| 21.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64))) | |
| 23.4% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 2 binary64)) a) (/.f64 a (/.f64 #s(literal 2 binary64) b))) (*.f64 a a)) | |
| 16.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| 10.8% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 27.6% | (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 27.9% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 25.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) | |
| 26.4% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) | |
| 31.6% | (/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 34.0% | (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) | |
| 36.5% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 25.4% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
| 39.1% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) | |
| 32.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 32.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))) | |
| 50.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) | |
| 33.7% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) | |
| 38.2% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) | |
| 34.1% | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) | |
| 17.0% | (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) | |
| 25.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) | |
| ✓ | 50.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ▶ | 32.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| 39.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) | |
| ▶ | 34.2% | (neg.f64 (/.f64 c b)) |
Compiled 1 026 to 702 computations (31.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 c #s(literal -4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 c #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| ✓ | cost-diff | 0 | (/.f64 a b) |
| ✓ | cost-diff | 0 | (*.f64 c (/.f64 a b)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | -64 | (neg.f64 (/.f64 c b)) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
| 6 032× | accelerator-lowering-fma.f32 |
| 6 032× | accelerator-lowering-fma.f64 |
| 4 860× | /-lowering-/.f32 |
| 4 860× | /-lowering-/.f64 |
| 4 660× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 256 |
| 1 | 90 | 256 |
| 2 | 265 | 256 |
| 3 | 728 | 254 |
| 4 | 1933 | 254 |
| 5 | 4056 | 254 |
| 6 | 7679 | 254 |
| 0 | 8660 | 247 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2)) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) |
1 |
(sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
(/ 1 (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(* a 2) |
2 |
(neg (/ c b)) |
(/ c b) |
c |
b |
(/ (* -2 (* c (/ a b))) (* a 2)) |
(* -2 (* c (/ a b))) |
-2 |
(* c (/ a b)) |
c |
(/ a b) |
a |
b |
(* a 2) |
2 |
(* (/ 1/2 a) (- (sqrt (* a (* c -4))) b)) |
(/ 1/2 a) |
1/2 |
a |
(- (sqrt (* a (* c -4))) b) |
(sqrt (* a (* c -4))) |
(* a (* c -4)) |
(* c -4) |
c |
-4 |
b |
(/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))) |
(- (* a (* c -4)) (* b b)) |
(* a (* c -4)) |
a |
(* c -4) |
c |
-4 |
(* b b) |
b |
(* (/ a 1/2) (+ b (sqrt (* a (* c -4))))) |
(/ a 1/2) |
1/2 |
(+ b (sqrt (* a (* c -4)))) |
(sqrt (* a (* c -4))) |
| Outputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
1 |
#s(literal 1 binary64) |
(sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/ 1 (+ (* b b) (* a (* c -4)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(neg (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
c |
b |
(/ (* -2 (* c (/ a b))) (* a 2)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -2 (* c (/ a b))) |
(*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b)) |
-2 |
#s(literal -2 binary64) |
(* c (/ a b)) |
(/.f64 (*.f64 a c) b) |
c |
(/ a b) |
(/.f64 a b) |
a |
b |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (/ 1/2 a) (- (sqrt (* a (* c -4))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(- (sqrt (* a (* c -4))) b) |
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(sqrt (* a (* c -4))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
b |
(/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))) |
(/.f64 (+.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 (*.f64 b (/.f64 b a)) #s(literal -2 binary64))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(- (* a (* c -4)) (* b b)) |
(-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
a |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* b b) |
(*.f64 b b) |
b |
(* (/ a 1/2) (+ b (sqrt (* a (* c -4))))) |
(/.f64 (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) |
(/ a 1/2) |
(/.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ b (sqrt (* a (* c -4)))) |
(+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(sqrt (* a (* c -4))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| ✓ | accuracy | 98.9% | (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) |
| ✓ | accuracy | 84.8% | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 76.1% | (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
| ✓ | accuracy | 100.0% | (*.f64 a (*.f64 c #s(literal -4 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| ✓ | accuracy | 84.8% | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) |
| ✓ | accuracy | 96.6% | (*.f64 c (/.f64 a b)) |
| ✓ | accuracy | 85.5% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 c b)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 96.4% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 90.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) |
| ✓ | accuracy | 73.6% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| 53.0ms | 121× | 0 | valid |
| 23.0ms | 93× | 0 | invalid |
| 10.0ms | 19× | 2 | valid |
| 6.0ms | 16× | 1 | valid |
| 5.0ms | 7× | 3 | valid |
Compiled 265 to 35 computations (86.8% saved)
ival-div: 16.0ms (35.6% of total)ival-mult: 14.0ms (31.1% of total)ival-sqrt: 4.0ms (8.9% of total)ival-sub: 4.0ms (8.9% of total)ival-add: 3.0ms (6.7% of total)adjust: 2.0ms (4.4% of total)exact: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2))> |
#<alt (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b)> |
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4))))))> |
#<alt (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))> |
#<alt (/ c b)> |
#<alt (neg (/ c b))> |
#<alt (/ (* -2 (* c (/ a b))) (* a 2))> |
#<alt (* -2 (* c (/ a b)))> |
#<alt (* c (/ a b))> |
#<alt (/ a b)> |
#<alt (* (/ 1/2 a) (- (sqrt (* a (* c -4))) b))> |
#<alt (/ 1/2 a)> |
#<alt (- (sqrt (* a (* c -4))) b)> |
#<alt (sqrt (* a (* c -4)))> |
#<alt (/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4))))))> |
#<alt (- (* a (* c -4)) (* b b))> |
#<alt (* a (* c -4))> |
#<alt (* c -4)> |
#<alt (/ 1 (+ (* b b) (* a (* c -4))))> |
#<alt (* a 2)> |
#<alt (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))> |
| Outputs |
|---|
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* (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 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -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 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 2 (+ (* -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 (* -2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))> |
#<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 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))> |
#<alt (* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))> |
#<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 (* (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))))))> |
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#<alt (* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | -inf | (sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
| 3.0ms | b | @ | -inf | (/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))) |
| 2.0ms | a | @ | inf | (/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))) |
| 2.0ms | c | @ | inf | (/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))) |
| 1.0ms | b | @ | 0 | (sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
| 1× | batch-egg-rewrite |
| 5 402× | /-lowering-/.f32 |
| 5 402× | /-lowering-/.f64 |
| 4 780× | accelerator-lowering-fma.f32 |
| 4 780× | accelerator-lowering-fma.f64 |
| 4 178× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 179 |
| 1 | 204 | 164 |
| 2 | 1814 | 164 |
| 0 | 8547 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) (* a 2)) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* a (* c -4)))))) |
(sqrt (/ 1 (+ (* b b) (* a (* c -4))))) |
(/ c b) |
(neg (/ c b)) |
(/ (* -2 (* c (/ a b))) (* a 2)) |
(* -2 (* c (/ a b))) |
(* c (/ a b)) |
(/ a b) |
(* (/ 1/2 a) (- (sqrt (* a (* c -4))) b)) |
(/ 1/2 a) |
(- (sqrt (* a (* c -4))) b) |
(sqrt (* a (* c -4))) |
(/ (- (* a (* c -4)) (* b b)) (* (/ a 1/2) (+ b (sqrt (* a (* c -4)))))) |
(- (* a (* c -4)) (* b b)) |
(* a (* c -4)) |
(* c -4) |
(/ 1 (+ (* b b) (* a (* c -4)))) |
(* a 2) |
(* (/ a 1/2) (+ b (sqrt (* a (* c -4))))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 b b) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64)))) (/.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) a) (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))))) (-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a)) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b)) (pow.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))))) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
(fma.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) |
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(fma.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))))) |
(fma.f64 (/.f64 a (/.f64 a #s(literal 1/2 binary64))) (/.f64 (*.f64 c #s(literal -4 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (neg.f64 (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))))) |
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(fma.f64 (/.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 a #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) (*.f64 b b))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
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(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
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(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
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(*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) a))) (sqrt.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)))) |
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(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (*.f64 b b) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
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(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))) (/.f64 a #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64))) (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b (/.f64 a #s(literal 1/2 binary64))))))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 a (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) |
(*.f64 (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 a (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (*.f64 a (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) a)) #s(literal -2 binary64)) |
(*.f64 (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -2 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 b (/.f64 a #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (*.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)) (/.f64 a #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) #s(literal 3/2 binary64))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)) a) |
| 1× | egg-herbie |
| 7 754× | accelerator-lowering-fma.f32 |
| 7 754× | accelerator-lowering-fma.f64 |
| 6 800× | *-lowering-*.f32 |
| 6 800× | *-lowering-*.f64 |
| 5 390× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1145 | 9779 |
| 1 | 3692 | 9510 |
| 0 | 8082 | 9131 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -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 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -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)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -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)))))) |
(* (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)))))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ 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 (/ 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)) |
(* -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)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) 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 b) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) 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 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 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 (* (sqrt (/ c a)) (sqrt -4)))) |
(* -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 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (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 (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* (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 (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) 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 (/ (pow b 2) (* a (+ b (* (sqrt (* a c)) (sqrt -4)))))) |
(/ (+ (* -2 (/ (* a c) (+ b (* (sqrt (* a c)) (sqrt -4))))) (* -1/2 (/ (pow b 2) (+ b (* (sqrt (* a c)) (sqrt -4)))))) a) |
(/ (+ (* -2 (/ (* a c) (+ b (* (sqrt (* a c)) (sqrt -4))))) (* -1/2 (/ (pow b 2) (+ b (* (sqrt (* a c)) (sqrt -4)))))) a) |
(/ (+ (* -2 (/ (* a c) (+ b (* (sqrt (* a c)) (sqrt -4))))) (* -1/2 (/ (pow b 2) (+ b (* (sqrt (* a c)) (sqrt -4)))))) a) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (+ (* 1/2 (/ (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (* (pow a 2) (* c (pow (sqrt -4) 2))))) (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))))))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))) c)) (* 1/4 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b)))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* -1 (* a b))))) a))) a)) |
(* -1/2 (/ (pow b 2) (* a (+ b (* (sqrt (* a c)) (sqrt -4)))))) |
(+ (* -2 (/ c (+ b (* (sqrt (* a c)) (sqrt -4))))) (* -1/2 (/ (pow b 2) (* a (+ b (* (sqrt (* a c)) (sqrt -4))))))) |
(+ (* -2 (/ c (+ b (* (sqrt (* a c)) (sqrt -4))))) (* -1/2 (/ (pow b 2) (* a (+ b (* (sqrt (* a c)) (sqrt -4))))))) |
(+ (* -2 (/ c (+ b (* (sqrt (* a c)) (sqrt -4))))) (* -1/2 (/ (pow b 2) (* a (+ b (* (sqrt (* a c)) (sqrt -4))))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (+ (* 1/2 (/ (* (pow b 2) (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (* a (* (pow c 2) (pow (sqrt -4) 2))))) (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))))) (* 1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a)))) a))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 1/2 (* b (- (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* b (- (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))) (* 1/2 (- (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -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 (/ (- (* -4 c) (* c (pow (sqrt -4) 2))) (pow b 2)))) (* 1/2 (/ 1 a)))) |
(* b (- (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -4) (- (* -4 c) (* c (pow (sqrt -4) 2)))) (pow b 3)))) (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ (- (* -4 c) (* c (pow (sqrt -4) 2))) (pow b 2))))) (* 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 (/ (+ (* -1/2 (/ (- (* 4 c) (* -1 (* c (pow (sqrt -4) 2)))) b)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) b)) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -4) (- (* 4 c) (* -1 (* c (pow (sqrt -4) 2))))) b))) (* 1/2 (- (* 4 c) (* -1 (* c (pow (sqrt -4) 2)))))) b)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) b)) (* 1/2 (/ 1 a))))) |
(* -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) (* -1 (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))) |
(* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* 4 c) (/ (pow b 2) a)))) |
(* -1 (* a (+ (* 4 c) (/ (pow b 2) a)))) |
(* -1 (* a (+ (* 4 c) (/ (pow b 2) a)))) |
(* -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)) |
(* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))) |
(* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* 4 a) (/ (pow b 2) c)))) |
(* -1 (* c (+ (* 4 a) (/ (pow b 2) c)))) |
(* -1 (* c (+ (* 4 a) (/ (pow b 2) c)))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* -1 (pow b 2))) |
(+ (* -4 (* a c)) (* -1 (pow b 2))) |
(+ (* -4 (* a c)) (* -1 (pow b 2))) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (* -4 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* -4 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* -4 (/ (* a c) (pow b 2))) 1)) |
(* -1 (pow b 2)) |
(* (pow b 2) (- (* -4 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* -4 (/ (* a c) (pow b 2))) 1)) |
(* (pow b 2) (- (* -4 (/ (* a c) (pow b 2))) 1)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(/ -1/4 (* a c)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(* 2 (* a b)) |
(* b (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) |
(* b (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) |
(* b (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) |
(* 2 (* a b)) |
(* -1 (* b (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))))) |
(* -1 (* b (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
| Outputs |
|---|
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) 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))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
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(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
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(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(+ (* 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))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 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) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
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(* -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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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* 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))))) |
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(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 a a))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 a a)))) c)) (-.f64 #s(literal 0 binary64) c)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))) |
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))) |
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))) |
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))) |
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a b) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))))) |
(* 2 (* a b)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(* b (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) |
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) b) a))) |
(* b (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) |
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) b) a))) |
(* b (+ (* 2 a) (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b))))) |
(*.f64 b (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) b) a))) |
(* 2 (* a b)) |
(*.f64 #s(literal 2 binary64) (*.f64 a b)) |
(* -1 (* b (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) b))) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (+ (* -2 a) (* -2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) b)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a (/.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) b))) (-.f64 #s(literal 0 binary64) b)) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* a (+ b (* (sqrt (* a c)) (sqrt -4))))) |
(*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))))) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(*.f64 c (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 a b) c)))) |
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(*.f64 c (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 a b) c)))) |
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(*.f64 c (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 a b) c)))) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a)))))) |
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) c) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))) |
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) c) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))) |
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) c) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))) |
Compiled 66 023 to 5 653 computations (91.4% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 331 | 12 | 2 343 |
| Fresh | 6 | 18 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 339 | 35 | 2 374 |
| Status | Accuracy | Program |
|---|---|---|
| 19.9% | (fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 21.5% | (fma.f64 (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| ▶ | 36.1% | (/.f64 (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) (*.f64 a a)) |
| ▶ | 39.1% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
| 31.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 21.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64))) | |
| 16.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| 10.8% | (/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 27.9% | (/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) | |
| 25.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) | |
| 26.4% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) | |
| 31.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 34.0% | (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) | |
| 36.5% | (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 25.4% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
| 25.4% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))) (*.f64 a #s(literal 2 binary64))) | |
| 25.8% | (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| ▶ | 39.1% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) |
| 32.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 32.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))) | |
| ▶ | 33.7% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) |
| 38.2% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) | |
| 25.3% | (*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) | |
| 25.0% | (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) | |
| 25.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) | |
| 16.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b)) | |
| 21.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)) | |
| ✓ | 50.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | 32.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| 39.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) | |
| 13.8% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) | |
| ✓ | 34.2% | (neg.f64 (/.f64 c b)) |
| ▶ | 34.1% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
| 17.0% | (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) |
Compiled 1 056 to 732 computations (30.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) b) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
| ✓ | cost-diff | 6592 | (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) b) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 b c) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (/.f64 b c)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) a) |
| ✓ | cost-diff | 0 | (/.f64 b (-.f64 #s(literal 0 binary64) a)) |
| 20 728× | accelerator-lowering-fma.f32 |
| 20 728× | accelerator-lowering-fma.f64 |
| 3 960× | *-lowering-*.f32 |
| 3 960× | *-lowering-*.f64 |
| 1 978× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 171 |
| 1 | 78 | 161 |
| 2 | 198 | 160 |
| 3 | 486 | 156 |
| 4 | 1171 | 156 |
| 5 | 3367 | 156 |
| 6 | 7058 | 156 |
| 0 | 8071 | 150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b (- 0 a)) |
b |
(- 0 a) |
0 |
a |
(/ -1 (/ b c)) |
-1 |
(/ b c) |
b |
c |
(/ (- (/ 1 (/ -1 b)) b) (* a 2)) |
(- (/ 1 (/ -1 b)) b) |
(/ 1 (/ -1 b)) |
1 |
(/ -1 b) |
-1 |
b |
(* a 2) |
a |
2 |
(neg (* (/ 1 b) (pow (/ 1 c) -1))) |
(* (/ 1 b) (pow (/ 1 c) -1)) |
(/ 1 b) |
1 |
b |
(pow (/ 1 c) -1) |
(/ 1 c) |
c |
-1 |
(/ (/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) (* a a)) |
(/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) |
(- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) |
(* a (sqrt (+ (* b b) (* a (* c -4))))) |
a |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* b b) |
b |
(* a (* c -4)) |
(* c -4) |
c |
-4 |
(* a b) |
2 |
(* a a) |
| Outputs |
|---|
(/ b (- 0 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
b |
(- 0 a) |
(-.f64 #s(literal 0 binary64) a) |
0 |
#s(literal 0 binary64) |
a |
(/ -1 (/ b c)) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
-1 |
#s(literal -1 binary64) |
(/ b c) |
(/.f64 b c) |
b |
c |
(/ (- (/ 1 (/ -1 b)) b) (* a 2)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- (/ 1 (/ -1 b)) b) |
(*.f64 b #s(literal -2 binary64)) |
(/ 1 (/ -1 b)) |
(-.f64 #s(literal 0 binary64) b) |
1 |
#s(literal 1 binary64) |
(/ -1 b) |
(/.f64 #s(literal -1 binary64) b) |
-1 |
#s(literal -1 binary64) |
b |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
a |
2 |
#s(literal 2 binary64) |
(neg (* (/ 1 b) (pow (/ 1 c) -1))) |
(/.f64 c (-.f64 #s(literal 0 binary64) b)) |
(* (/ 1 b) (pow (/ 1 c) -1)) |
(/.f64 c b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
1 |
#s(literal 1 binary64) |
b |
(pow (/ 1 c) -1) |
c |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
c |
-1 |
#s(literal -1 binary64) |
(/ (/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) (* a a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 a #s(literal 2 binary64))) |
(- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) |
(*.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(* a (sqrt (+ (* b b) (* a (* c -4))))) |
(*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
a |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
(* a b) |
(*.f64 b a) |
2 |
#s(literal 2 binary64) |
(* a a) |
(*.f64 a a) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.7% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 83.2% | (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) |
| ✓ | accuracy | 58.7% | (/.f64 (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) (*.f64 a a)) |
| ✓ | accuracy | 53.7% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) b) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) b) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) |
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) |
| ✓ | accuracy | 100.0% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) a) |
| 42.0ms | 174× | 0 | valid |
| 16.0ms | 38× | 1 | valid |
| 14.0ms | 25× | 2 | valid |
| 13.0ms | 19× | 3 | valid |
Compiled 201 to 35 computations (82.6% saved)
ival-div: 22.0ms (37.2% of total)ival-mult: 17.0ms (28.7% of total)ival-sub: 5.0ms (8.5% of total)ival-pow: 5.0ms (8.5% of total)adjust: 4.0ms (6.8% of total)ival-sqrt: 3.0ms (5.1% of total)ival-add: 2.0ms (3.4% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ b (- 0 a))> |
#<alt (- 0 a)> |
#<alt (/ -1 (/ b c))> |
#<alt (/ b c)> |
#<alt (/ (- (/ 1 (/ -1 b)) b) (* a 2))> |
#<alt (- (/ 1 (/ -1 b)) b)> |
#<alt (/ 1 (/ -1 b))> |
#<alt (/ -1 b)> |
#<alt (pow (/ 1 c) -1)> |
#<alt (* (/ 1 b) (pow (/ 1 c) -1))> |
#<alt (/ 1 b)> |
#<alt (/ 1 c)> |
#<alt (/ (/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) (* a a))> |
#<alt (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b))> |
#<alt (/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2)> |
#<alt (* a (sqrt (+ (* b b) (* a (* c -4)))))> |
#<alt (* a 2)> |
#<alt (neg (* (/ 1 b) (pow (/ 1 c) -1)))> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (+ (* b b) (* a (* c -4)))> |
| Outputs |
|---|
#<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 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 (/ 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 (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (* -1 (/ 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 (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* 1/2 (/ (- (* -1 b) b) a))> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 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 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 c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<alt c> |
#<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)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))> |
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))> |
#<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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)> |
#<alt (* -1/2 (/ (* b (- a (* -1 a))) (pow a 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ (- a (* -1 a)) (pow a 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ (- a (* -1 a)) (pow a 2))))))))> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))> |
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))> |
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -2 (/ (* (pow a 2) c) b))> |
#<alt (* (pow a 2) (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -4))> |
#<alt (* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))> |
#<alt (* (pow a 2) (- (+ (* -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 (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a))))> |
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1 b)) a))))> |
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1 b)) a))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -4))> |
#<alt (+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (* -2 (/ (* (pow a 2) c) b))> |
#<alt (/ (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)> |
#<alt (* -1 (* b (- a (* -1 a))))> |
#<alt (* -1 (* b (- (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a))))> |
#<alt (* -1 (* b (- (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a))))> |
#<alt (* -1 (* b (- (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a))))> |
#<alt (* -2 (/ (* (pow a 2) c) b))> |
#<alt (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b))))> |
#<alt (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3)))))))> |
#<alt (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -2 (/ (pow a 3) (pow b 3))) (* c (+ (* -4 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b))))))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -4))> |
#<alt (* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (/ (* a b) c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (/ (* a b) c)))> |
#<alt (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b) c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))> |
#<alt (* -1 (/ (* (pow a 2) c) b))> |
#<alt (* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))> |
#<alt (* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))> |
#<alt (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (* (pow a 2) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* (pow a 2) (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* (pow a 2) (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))> |
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))))> |
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))))> |
#<alt (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))> |
#<alt (+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* 1/4 (* (sqrt (/ a c)) (/ b (sqrt -4)))))))> |
#<alt (+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* b (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))))> |
#<alt (* -1 (/ (* (pow a 2) c) b))> |
#<alt (/ (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)> |
#<alt (* -1/2 (* b (- a (* -1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 (- a (* -1 a))))))> |
#<alt (* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 (- a (* -1 a)))))))> |
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 (- a (* -1 a))))))))> |
#<alt (* -1 (/ (* (pow a 2) c) b))> |
#<alt (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b))))> |
#<alt (* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3)))))))> |
#<alt (* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b))))))))> |
#<alt (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/2 (/ (* a b) c)) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))> |
#<alt (* c (+ (* -1/2 (/ (* a b) c)) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))))> |
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* a b)> |
#<alt (* a (+ b (* -2 (/ (* a c) b))))> |
#<alt (* a (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))> |
#<alt (* a (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -4))> |
#<alt (* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* (pow a 2) (+ (* -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 (* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))))> |
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))> |
#<alt (* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt (* a b)> |
#<alt (* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))))> |
#<alt (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* a b))> |
#<alt (* -1 (* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2))))))> |
#<alt (* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))))> |
#<alt (* a b)> |
#<alt (+ (* -2 (/ (* (pow a 2) c) b)) (* a b))> |
#<alt (+ (* a b) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))))> |
#<alt (+ (* a b) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))))> |
#<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 (* -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 (+ (* 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))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | a | @ | 0 | (/ (- (/ 1 (/ -1 b)) b) (* a 2)) |
| 1.0ms | b | @ | inf | (sqrt (+ (* b b) (* a (* c -4)))) |
| 1.0ms | b | @ | 0 | (/ b (- 0 a)) |
| 1.0ms | a | @ | inf | (/ (- (/ 1 (/ -1 b)) b) (* a 2)) |
| 1.0ms | b | @ | 0 | (/ (- (/ 1 (/ -1 b)) b) (* a 2)) |
| 1× | batch-egg-rewrite |
| 2 124× | *-lowering-*.f32 |
| 2 124× | *-lowering-*.f64 |
| 2 106× | /-lowering-/.f32 |
| 2 106× | /-lowering-/.f64 |
| 1 540× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 134 |
| 1 | 197 | 130 |
| 2 | 1496 | 86 |
| 0 | 10375 | 77 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b (- 0 a)) |
(- 0 a) |
(/ -1 (/ b c)) |
(/ b c) |
(/ (- (/ 1 (/ -1 b)) b) (* a 2)) |
(- (/ 1 (/ -1 b)) b) |
(/ 1 (/ -1 b)) |
(/ -1 b) |
(pow (/ 1 c) -1) |
(* (/ 1 b) (pow (/ 1 c) -1)) |
(/ 1 b) |
(/ 1 c) |
(/ (/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) (* a a)) |
(- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) |
(/ (- (* a (sqrt (+ (* b b) (* a (* c -4))))) (* a b)) 2) |
(* a (sqrt (+ (* b b) (* a (* c -4))))) |
(* a 2) |
(neg (* (/ 1 b) (pow (/ 1 c) -1))) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
| Outputs |
|---|
#s(literal 0 binary64) |
b |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) |
(+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) a) |
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) a #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a a)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (/.f64 a (-.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64)) |
(neg.f64 a) |
(/.f64 a #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))) |
(/.f64 (*.f64 a a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 a a) (-.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) a) |
(/.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (*.f64 a a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) #s(literal 0 binary64)) (*.f64 a a)) |
(pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 a (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (/.f64 a (-.f64 #s(literal 0 binary64) a))) |
#s(literal 0 binary64) |
b |
#s(literal 0 binary64) |
b |
#s(literal 0 binary64) |
b |
#s(literal 0 binary64) |
b |
#s(literal 0 binary64) |
b |
#s(literal 0 binary64) |
b |
c |
(exp.f64 (log.f64 c)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 c)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) c)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) c)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) c)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 c #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) c)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 c #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)) |
(pow.f64 c #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 c) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) c))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) c)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) c) |
(*.f64 c #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 c) (sqrt.f64 c)) |
(*.f64 (pow.f64 (pow.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
#s(literal 0 binary64) |
b |
#s(literal 0 binary64) |
b |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) c))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) c)) |
(neg.f64 (/.f64 #s(literal -1 binary64) c)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
(/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) c)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 c) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) c) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 c #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 c)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)) |
(*.f64 (pow.f64 c #s(literal -1/2 binary64)) (pow.f64 c #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64))) (*.f64 a a)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64))) (*.f64 a a)) #s(literal 0 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) #s(literal 3/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) (+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) (+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))) (*.f64 a (/.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 a (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64)))) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64)))) (*.f64 a (/.f64 a #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (*.f64 a a) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) (+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64)))))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) (+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) (*.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64))) a) a) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a a)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (/.f64 a a) (/.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) #s(literal 0 binary64)) |
(fma.f64 (/.f64 a a) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 a (/.f64 a #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 2 binary64)) a) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 a a)) (/.f64 a #s(literal 2 binary64)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))) #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) (+.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64))))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a (/.f64 a #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (+.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 a a)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a a)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (neg.f64 (*.f64 (*.f64 a a) #s(literal -2 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)))) |
(/.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 a a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 a a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (*.f64 (*.f64 a a) #s(literal -2 binary64))) |
(/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) |
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(pow.f64 (+.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 16 binary64) (*.f64 c c))) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) (*.f64 #s(literal 16 binary64) (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a a) (*.f64 c c))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) (*.f64 #s(literal 16 binary64) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a c)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 16 binary64) (*.f64 c c))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
| 1× | egg-herbie |
| 13 134× | accelerator-lowering-fma.f32 |
| 13 134× | accelerator-lowering-fma.f64 |
| 9 276× | *-lowering-*.f32 |
| 9 276× | *-lowering-*.f64 |
| 4 760× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 790 | 6325 |
| 1 | 2700 | 6216 |
| 0 | 8250 | 5980 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -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)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ 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)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 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 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
c |
c |
c |
c |
c |
c |
c |
c |
c |
c |
c |
c |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ 1 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) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ (- a (* -1 a)) (pow a 2)))))))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* (pow a 2) (- (+ (* -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 (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1 b)) a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1 b)) a)))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* -2 (/ (* (pow a 2) c) b)) |
(/ (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -2 (* (pow a 2) c)) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* -1 (* b (- a (* -1 a)))) |
(* -1 (* b (- (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a)))) |
(* -2 (/ (* (pow a 2) c) b)) |
(* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))) |
(* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -2 (/ (pow a 3) (pow b 3))) (* c (+ (* -4 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (/ (* a b) c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (/ (* a b) c))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (pow a 2) (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* -1/2 (* a b)) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* 1/4 (* (sqrt (/ a c)) (/ b (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1/2 a) (* b (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))))) |
(* -1 (/ (* (pow a 2) c) b)) |
(/ (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* -1/2 (* b (- a (* -1 a)))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 (- a (* -1 a)))))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 (- a (* -1 a))))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 (- a (* -1 a)))))))) |
(* -1 (/ (* (pow a 2) c) b)) |
(* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b)))) |
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -1/2 (/ (* a b) c)) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ (* a b) c)) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* a b) |
(* a (+ b (* -2 (/ (* a c) b)))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* (pow a 2) (+ (* -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))))) |
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* a b) |
(* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* a b)) |
(* -1 (* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))) |
(* a b) |
(+ (* -2 (/ (* (pow a 2) c) b)) (* a b)) |
(+ (* a b) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b))))) |
(+ (* a b) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3)))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* -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)) |
(+ (* 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)))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 a) |
(-.f64 #s(literal 0 binary64) a) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* 1/2 (/ (- (* -1 b) b) a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -2 binary64)) a)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
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(* -1 (/ (* (pow a 2) c) b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a a))) b) |
(/ (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a a))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 a a))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b b))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -1 (* (pow a 2) c)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/4 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
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(* -1/2 (* b (- a (* -1 a)))) |
(*.f64 b (*.f64 (*.f64 a #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 (- a (* -1 a)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 (- a (* -1 a))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 2 binary64))) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 (- a (* -1 a)))))))) |
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(* -1 (/ (* (pow a 2) c) b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 a a))) b) |
(* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b)))) |
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(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))))) |
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(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
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(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) c) (*.f64 (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))))) |
(* c (+ (* -1/2 (/ (* a b) c)) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))) |
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(* c (+ (* -1/2 (/ (* a b) c)) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))) |
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(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b a)) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 b (*.f64 a #s(literal -1/2 binary64)))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) (/.f64 (-.f64 (*.f64 b (*.f64 a #s(literal -1/2 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) c)) c))) |
(* a b) |
(*.f64 b a) |
(* a (+ b (* -2 (/ (* a c) b)))) |
(*.f64 a (+.f64 b (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))) |
(*.f64 a (+.f64 b (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
(* a (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))) |
(*.f64 a (+.f64 b (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a a))))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* (pow a 2) (+ (* -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 (*.f64 a a) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))))) |
(* (pow a 2) (+ (* -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 (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) |
(*.f64 (*.f64 a a) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))) |
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(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))) |
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(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a a))))) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
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(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))) |
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(+ (* (sqrt (* (pow a 3) c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
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(* a b) |
(*.f64 b a) |
(* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2))))) |
(*.f64 b (+.f64 a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 a a))) (*.f64 b b)))) |
(* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(*.f64 b (+.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64))))))) |
(* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(*.f64 b (+.f64 (+.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))) |
(* -1 (* a b)) |
(-.f64 #s(literal 0 binary64) (*.f64 b a)) |
(* -1 (* b (+ a (* -2 (/ (* (pow a 2) c) (pow b 2)))))) |
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(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
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(* a b) |
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(* (sqrt (* (pow a 3) c)) (sqrt -4)) |
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(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64))) |
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(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
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(* 2 a) |
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(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 a) |
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(* 2 a) |
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(* 2 a) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 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 (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (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 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.f64 (*.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 c (*.f64 a (*.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 (+.f64 (+.f64 (*.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 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 binary64))))) |
(* 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 (+.f64 (+.f64 (*.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 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 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))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/8 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 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.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 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 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 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.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) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.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) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.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 (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 a (+.f64 (*.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.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 (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 c (+.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c))) |
(* -4 (* a c)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))) |
Compiled 21 047 to 2 571 computations (87.8% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 881 | 12 | 893 |
| Fresh | 6 | 19 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 890 | 38 | 928 |
| Status | Accuracy | Program |
|---|---|---|
| 19.9% | (fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 21.5% | (fma.f64 (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| ✓ | 36.1% | (/.f64 (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) (*.f64 a a)) |
| 39.0% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) | |
| 31.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) | |
| 17.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a #s(literal 2 binary64))) | |
| 21.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64))) | |
| 16.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 32.8% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 26.4% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) | |
| 31.6% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) | |
| 34.0% | (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) | |
| ✓ | 25.4% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
| 25.8% | (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| 39.1% | (/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) | |
| 31.6% | (/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a))) | |
| 39.1% | (/.f64 b (neg.f64 a)) | |
| 32.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 32.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))) | |
| ✓ | 33.7% | (/.f64 #s(literal -1 binary64) (/.f64 b c)) |
| 3.6% | (/.f64 #s(literal -1 binary64) b) | |
| 5.7% | (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) | |
| 38.2% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) | |
| 25.3% | (*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) | |
| 25.0% | (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) | |
| 16.4% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b)) | |
| 21.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)) | |
| ✓ | 50.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | 32.7% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| 39.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) | |
| 13.8% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) | |
| ✓ | 34.2% | (neg.f64 (/.f64 c b)) |
| 34.1% | (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))) | |
| 4.6% | (neg.f64 (*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) | |
| 17.0% | (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) | |
| 3.3% | (neg.f64 b) | |
| 3.2% | b | |
| 10.9% | #s(literal 0 binary64) |
Compiled 1 348 to 603 computations (55.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) |
(neg.f64 (*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) #s(literal 1/4 binary64)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a)) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 2 binary64)) a) (/.f64 a (/.f64 #s(literal 2 binary64) b))) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a b)) #s(literal 2 binary64)) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 b b) (-.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c)) b) (*.f64 a #s(literal 2 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
4 calls:
| 21.0ms | b |
| 20.0ms | a |
| 19.0ms | c |
| 19.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.3% | 2 | a |
| 90.1% | 3 | b |
| 52.6% | 2 | c |
| 73.9% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 32 to 23 computations (28.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) |
(neg.f64 (*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) |
(neg.f64 (*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (*.f64 a #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
1 calls:
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) |
(neg.f64 (*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
| Outputs |
|---|
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(/.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 b (*.f64 (*.f64 a a) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b a)) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c a)) b)) |
(*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) a) (/.f64 (/.f64 a b) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) b) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) b) b)) c) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b)) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)))) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (-.f64 #s(literal 0 binary64) (*.f64 b b))) a))) (*.f64 a a)) |
(neg.f64 (*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 b b)) b) (*.f64 a #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(neg.f64 (/.f64 c b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
(neg.f64 (/.f64 c b)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(neg.f64 (/.f64 c b)) |
3 calls:
| 3.0ms | c |
| 3.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.2% | 1 | c |
| 34.2% | 1 | a |
| 37.9% | 2 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(/.f64 #s(literal -1 binary64) b) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
3 calls:
| 3.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.9% | 1 | c |
| 10.9% | 1 | a |
| 14.7% | 2 | b |
Compiled 12 to 9 computations (25% saved)
Total -6.0b remaining (-10.6%)
Threshold costs -6b (-10.6%)
| Inputs |
|---|
#s(literal 0 binary64) |
b |
(neg.f64 b) |
| Outputs |
|---|
#s(literal 0 binary64) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.9% | 1 | b |
Compiled 4 to 3 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.4865775868972804e-119 | 2.6358656618038925e-102 |
| 7.0ms | -1.3808278904496018e+130 | -6.089854425707023e+121 |
| 12.0ms | 159× | 0 | valid |
| 10.0ms | 44× | 0 | invalid |
| 6.0ms | 42× | 1 | valid |
| 5.0ms | 23× | 2 | valid |
Compiled 525 to 360 computations (31.4% saved)
ival-mult: 7.0ms (38.6% of total)ival-div: 2.0ms (11% of total)ival-neg: 2.0ms (11% of total)ival-sqrt: 2.0ms (11% of total)ival-add: 2.0ms (11% of total)adjust: 1.0ms (5.5% of total)ival-sub: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.4865775868972804e-119 | 2.6358656618038925e-102 |
| 47.0ms | -1.3808278904496018e+130 | -6.089854425707023e+121 |
| 51.0ms | 247× | 0 | valid |
| 5.0ms | 33× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
| 4.0ms | 51× | 0 | invalid |
Compiled 665 to 460 computations (30.8% saved)
ival-mult: 40.0ms (74.3% of total)ival-div: 3.0ms (5.6% of total)ival-sqrt: 3.0ms (5.6% of total)ival-sub: 2.0ms (3.7% of total)ival-neg: 2.0ms (3.7% of total)ival-add: 2.0ms (3.7% of total)adjust: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 72.0ms | 1.4865775868972804e-119 | 2.6358656618038925e-102 |
| 20.0ms | -1.837669014160562e-76 | -9.412541190597052e-86 |
| 64.0ms | 246× | 0 | valid |
| 7.0ms | 85× | 0 | invalid |
| 6.0ms | 44× | 1 | valid |
| 3.0ms | 14× | 2 | valid |
Compiled 652 to 449 computations (31.1% saved)
ival-mult: 55.0ms (79.8% of total)ival-div: 3.0ms (4.4% of total)ival-sqrt: 3.0ms (4.4% of total)ival-sub: 2.0ms (2.9% of total)ival-neg: 2.0ms (2.9% of total)ival-add: 2.0ms (2.9% of total)adjust: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.4865775868972804e-119 | 2.6358656618038925e-102 |
| 55.0ms | -1.837669014160562e-76 | -9.412541190597052e-86 |
| 39.0ms | 258× | 0 | valid |
| 9.0ms | 122× | 0 | invalid |
| 5.0ms | 31× | 1 | valid |
| 3.0ms | 15× | 2 | valid |
Compiled 652 to 449 computations (31.1% saved)
ival-mult: 29.0ms (66.1% of total)ival-div: 3.0ms (6.8% of total)ival-sqrt: 3.0ms (6.8% of total)ival-sub: 2.0ms (4.6% of total)ival-neg: 2.0ms (4.6% of total)ival-add: 2.0ms (4.6% of total)adjust: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 51.0ms | -2.2594532017057663e-308 | 2.3805536159892336e-299 |
| 38.0ms | 160× | 0 | valid |
| 6.0ms | 80× | 0 | invalid |
Compiled 183 to 140 computations (23.5% saved)
ival-mult: 28.0ms (74.9% of total)ival-add: 4.0ms (10.7% of total)ival-div: 2.0ms (5.3% of total)ival-sqrt: 2.0ms (5.3% of total)ival-sub: 1.0ms (2.7% of total)ival-neg: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -2.2594532017057663e-308 | 2.3805536159892336e-299 |
| 13.0ms | 78× | 0 | invalid |
| 12.0ms | 160× | 0 | valid |
Compiled 173 to 150 computations (13.3% saved)
ival-mult: 12.0ms (64.3% of total)ival-div: 1.0ms (5.4% of total)ival-add: 1.0ms (5.4% of total)ival-sub: 1.0ms (5.4% of total)ival-sqrt: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | -6.02919411450607e+160 | -4.479648580913988e+157 |
| 10.0ms | 128× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 119 to 116 computations (2.5% saved)
ival-mult: 3.0ms (44.2% of total)ival-div: 1.0ms (14.7% of total)ival-add: 1.0ms (14.7% of total)ival-sub: 1.0ms (14.7% of total)ival-sqrt: 1.0ms (14.7% of total)ival-neg: 1.0ms (14.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 30× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 210 |
| 1 | 100 | 210 |
| 2 | 121 | 210 |
| 3 | 136 | 210 |
| 4 | 149 | 210 |
| 5 | 156 | 210 |
| 6 | 159 | 210 |
| 7 | 160 | 210 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6556493831080041/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) (if (<=.f64 b #s(literal 2259468643326045/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -1303703024854071/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) (if (<=.f64 b #s(literal 8123055744494575/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal -44999999999999998489017467876637186290568991195813931522111499226655856409821697857878482289772902529121575282260995206596930974855242025171969529338432323584 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (if (<=.f64 b #s(literal 2685539873210385/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 6556493831080041/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (if (<=.f64 b #s(literal 6556493831080041/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) (if (<=.f64 b #s(literal 2259468643326045/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -1303703024854071/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) (if (<=.f64 b #s(literal 8123055744494575/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) a) (/.f64 c (-.f64 #s(literal 0 binary64) b))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b))) |
(if (<=.f64 b #s(literal -44999999999999998489017467876637186290568991195813931522111499226655856409821697857878482289772902529121575282260995206596930974855242025171969529338432323584 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| 11 550× | accelerator-lowering-fma.f32 |
| 11 550× | accelerator-lowering-fma.f64 |
| 7 678× | *-lowering-*.f32 |
| 7 678× | *-lowering-*.f64 |
| 5 882× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 47 |
| 1 | 61 | 47 |
| 2 | 493 | 47 |
| 3 | 6437 | 47 |
| 0 | 8508 | 43 |
| 0 | 14 | 17 |
| 1 | 31 | 16 |
| 2 | 68 | 16 |
| 3 | 151 | 16 |
| 4 | 231 | 16 |
| 5 | 372 | 16 |
| 6 | 654 | 16 |
| 7 | 1122 | 16 |
| 8 | 2225 | 16 |
| 9 | 2509 | 16 |
| 10 | 2626 | 16 |
| 11 | 2681 | 16 |
| 12 | 2682 | 16 |
| 13 | 2682 | 16 |
| 14 | 2688 | 16 |
| 0 | 2688 | 15 |
| 0 | 33 | 134 |
| 1 | 197 | 130 |
| 2 | 1496 | 86 |
| 0 | 10375 | 77 |
| 0 | 543 | 3249 |
| 1 | 1746 | 3208 |
| 2 | 6131 | 3180 |
| 0 | 8163 | 3023 |
| 0 | 38 | 209 |
| 1 | 227 | 203 |
| 2 | 2116 | 199 |
| 0 | 8663 | 184 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 502 to 294 computations (41.4% saved)
Compiled 566 to 214 computations (62.2% saved)
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