
Time bar (total: 15.0s)
| 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)
| 572.0ms | 5 570× | 0 | valid |
| 296.0ms | 1 326× | 1 | valid |
| 269.0ms | 1 166× | 2 | valid |
| 112.0ms | 966× | 0 | invalid |
| 101.0ms | 194× | 3 | valid |
ival-mult: 364.0ms (35.6% of total)ival-add: 171.0ms (16.7% of total)ival-div: 126.0ms (12.3% of total)ival-neg: 103.0ms (10.1% of total)ival-sqrt: 101.0ms (9.9% of total)adjust: 75.0ms (7.3% of total)ival-sub: 64.0ms (6.3% of total)...in/eval/compile.rkt:110:19: 7.0ms (0.7% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% 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 |
|---|---|---|---|---|---|
| 111 | 0 | - | 3 | (7.81691833186014e-171 2.014027409758954e-292 -1.788410470994301e-149) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 50 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 12 | 0 | - | 0 | - | (/.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)) |
| 3 | 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 | 102 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 102 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 20 | |
| ↳ | (*.f64 b b) | overflow | 87 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 50 | 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 | 12 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 25 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 44 | |
| ↳ | (*.f64 b b) | underflow | 40 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 6 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 44 | |
| ↳ | (*.f64 b b) | underflow | 40 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 b b) | overflow | 87 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 120 | 3 |
| - | 19 | 114 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 120 | 0 | 3 |
| - | 19 | 0 | 114 |
| number | freq |
|---|---|
| 0 | 117 |
| 1 | 105 |
| 2 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 362× | 0 | valid |
| 20.0ms | 86× | 2 | valid |
| 9.0ms | 52× | 1 | valid |
| 4.0ms | 12× | 3 | valid |
Compiled 184 to 60 computations (67.4% saved)
ival-mult: 33.0ms (54.6% of total)ival-div: 6.0ms (9.9% of total)ival-sqrt: 6.0ms (9.9% of total)ival-neg: 4.0ms (6.6% of total)ival-add: 4.0ms (6.6% of total)ival-sub: 3.0ms (5% of total)adjust: 3.0ms (5% of total)ival-assert: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 19 to 13 computations (31.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.4% | (/.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 | 99.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 95.7% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 81.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 60.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 52.0ms | 181× | 0 | valid |
| 9.0ms | 43× | 2 | valid |
| 4.0ms | 26× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 68 to 15 computations (77.9% saved)
ival-mult: 40.0ms (72% of total)ival-add: 6.0ms (10.8% of total)ival-div: 3.0ms (5.4% of total)ival-sqrt: 3.0ms (5.4% of total)adjust: 2.0ms (3.6% of total)ival-sub: 2.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 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 | |
|---|---|---|---|---|
| 3.0ms | 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)))) |
| 1.0ms | c | @ | 0 | (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2)) |
| 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)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 593 | 17 | 610 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 594 | 17 | 611 |
| Status | Accuracy | Program |
|---|---|---|
| 51.7% | (fma.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)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) | |
| 54.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 52.5% | (/.f64 (-.f64 (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)) b) (*.f64 a #s(literal 2 binary64))) | |
| 52.7% | (/.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))) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) | |
| ▶ | 36.7% | (/.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)) |
| 12.2% | (/.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))) | |
| ▶ | 34.6% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 12.2% | (/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) | |
| 39.0% | (/.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))) | |
| ▶ | 23.9% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
| 41.4% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) | |
| 54.3% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 40.7% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) | |
| ▶ | 31.5% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ▶ | 54.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| 31.0% | (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
Compiled 656 to 424 computations (35.4% 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 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 | 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)) |
| 14 302× | accelerator-lowering-fma.f32 |
| 14 302× | accelerator-lowering-fma.f64 |
| 5 256× | *-lowering-*.f32 |
| 5 256× | *-lowering-*.f64 |
| 2 020× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 253 |
| 1 | 86 | 251 |
| 2 | 233 | 251 |
| 3 | 569 | 249 |
| 4 | 1297 | 249 |
| 5 | 3581 | 249 |
| 6 | 6492 | 249 |
| 0 | 8195 | 239 |
| 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 |
(/ (* -2 (* c (/ a b))) (* a 2)) |
(* -2 (* c (/ a b))) |
-2 |
(* c (/ a b)) |
c |
(/ a b) |
a |
b |
(* a 2) |
2 |
(/ (- (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 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 c (*.f64 a #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 |
(/ (* -2 (* c (/ a b))) (* a 2)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* -2 (* c (/ a b))) |
(/.f64 (*.f64 a (*.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) |
(/ (- (sqrt (* c (* a -4))) b) (* a 2)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(- (sqrt (* c (* a -4))) b) |
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) |
(sqrt (* c (* a -4))) |
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* c (* a -4)) |
(*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) |
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 2 binary64))) |
(* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) |
(*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))) |
(/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 c (*.f64 a #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 | 93.6% | (-.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 | 74.7% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 71.2% | (/.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 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -4 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 83.6% | (sqrt.f64 (*.f64 c (*.f64 a #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 | 93.6% | (*.f64 c (/.f64 a b)) |
| ✓ | accuracy | 88.7% | (/.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% | (-.f64 #s(literal 0 binary64) (/.f64 c b)) |
| ✓ | accuracy | 100.0% | (*.f64 a (*.f64 c #s(literal -4 binary64))) |
| ✓ | accuracy | 97.0% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | accuracy | 92.3% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 74.7% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| 41.0ms | 134× | 0 | valid |
| 23.0ms | 85× | 0 | invalid |
| 11.0ms | 18× | 2 | valid |
| 6.0ms | 8× | 3 | valid |
| 5.0ms | 11× | 1 | valid |
Compiled 271 to 37 computations (86.3% saved)
ival-div: 22.0ms (38.7% of total)ival-mult: 21.0ms (37% of total)ival-sub: 5.0ms (8.8% of total)ival-sqrt: 4.0ms (7% of total)adjust: 2.0ms (3.5% of total)ival-add: 1.0ms (1.8% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% 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 (/ (* -2 (* c (/ a b))) (* a 2))> |
#<alt (* -2 (* c (/ a b)))> |
#<alt (* c (/ a b))> |
#<alt (/ a 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 (* a (* c -4))> |
#<alt (* a 2)> |
#<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)> |
#<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)))))))> |
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#<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))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<alt (* -4 (* a c))> |
#<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 (* -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)> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | 0 | (- (sqrt (* c (* a -4))) b) |
| 5.0ms | b | @ | 0 | (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
| 2.0ms | a | @ | 0 | (/ (* -2 (* c (/ a b))) (* a 2)) |
| 2.0ms | b | @ | 0 | (- 0 (/ c b)) |
| 2.0ms | b | @ | inf | (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) |
| 1× | batch-egg-rewrite |
| 4 858× | /-lowering-/.f32 |
| 4 858× | /-lowering-/.f64 |
| 4 486× | accelerator-lowering-fma.f32 |
| 4 486× | accelerator-lowering-fma.f64 |
| 4 326× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 186 |
| 1 | 199 | 180 |
| 2 | 1702 | 176 |
| 0 | 8295 | 162 |
| 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) |
(/ (* -2 (* c (/ a b))) (* a 2)) |
(* -2 (* c (/ a b))) |
(* c (/ a b)) |
(/ a 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) |
(* a (* c -4)) |
(* a 2) |
(* a -4) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 1 binary64)) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 a (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (-.f64 #s(literal 0 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b b)))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
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(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b) |
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(pow.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
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(exp.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
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(/.f64 a (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) a)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 a (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(*.f64 a (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 a (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) |
(pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 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) |
(*.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (*.f64 a #s(literal -4 binary64)) c) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) c)) (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1 binary64)) a) |
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) c)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
(*.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))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 a)) |
(*.f64 (pow.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a c)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 (*.f64 a (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c #s(literal -4 binary64)) (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 (*.f64 a a))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 4 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) a)) (sqrt.f64 (*.f64 c #s(literal -4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 c #s(literal -4 binary64)))) (sqrt.f64 a)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 a #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
(sqrt.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64)))) |
(pow.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(*.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 |
| 11 940× | accelerator-lowering-fma.f32 |
| 11 940× | accelerator-lowering-fma.f64 |
| 7 930× | *-lowering-*.f32 |
| 7 930× | *-lowering-*.f64 |
| 5 818× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 879 | 9380 |
| 1 | 3011 | 9168 |
| 0 | 8317 | 8886 |
| 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)) |
(* -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))) |
(* 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)) |
(* -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)) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* -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 #s(literal -2 binary64) a) (*.f64 c (*.f64 c c))) (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)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))))) (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -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 #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 #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 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 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 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
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(* -2 (/ (* a c) b)) |
(*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (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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(* (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 (*.f64 (*.f64 #s(literal -2 binary64) 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) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.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))))))) |
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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 a (/.f64 (*.f64 #s(literal -2 binary64) c) 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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(* 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))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a)) |
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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)))))) |
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 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))) |
(* 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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(* 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)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* -1 (/ (* (pow a 2) c) b)) |
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(* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))) |
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(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
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(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
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(* -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))))) |
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(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
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(* 1/2 (* a b)) |
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(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))) |
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(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))) |
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(* -1/2 (* a b)) |
(*.f64 (*.f64 a #s(literal -1/2 binary64)) b) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))) |
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(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))) |
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(* -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)))))) |
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(* 1/2 (* a b)) |
(*.f64 b (*.f64 a #s(literal 1/2 binary64))) |
(* a (+ (* -1 (/ (* a c) b)) (* 1/2 b))) |
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(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) |
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(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) |
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(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) |
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
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(* (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)))))) |
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(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
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(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) |
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(* (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))))))) |
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(* (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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(* 1/2 (* a b)) |
(*.f64 b (*.f64 a #s(literal 1/2 binary64))) |
(+ (* -1 (/ (* (pow a 2) c) b)) (* 1/2 (* a b))) |
(-.f64 (*.f64 b (*.f64 a #s(literal 1/2 binary64))) (/.f64 (*.f64 c (*.f64 a a)) b)) |
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b))))) |
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(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 a a))))) |
(* 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 (+ (* -1/16 (* (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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(* -4 (* a c)) |
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(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* 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)) |
(* -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 48 776 to 4 988 computations (89.8% saved)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 802 | 24 | 1 826 |
| Fresh | 4 | 8 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 810 | 33 | 1 843 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (fma.f64 (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 26.2% | (/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (*.f64 a #s(literal 2 binary64))) | |
| ▶ | 54.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| 52.7% | (/.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))) | |
| 19.0% | (/.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))) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) | |
| 20.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| 4.3% | (/.f64 (-.f64 (*.f64 b (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) | |
| ▶ | 54.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| ✓ | 34.6% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 12.2% | (/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) | |
| 14.5% | (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b)) | |
| ▶ | 26.1% | (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
| 39.0% | (/.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))) | |
| 25.7% | (/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) | |
| 17.3% | (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) | |
| 36.8% | (/.f64 (*.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (*.f64 a a)) | |
| 27.4% | (/.f64 (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) (*.f64 a #s(literal 2 binary64))) | |
| 23.9% | (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b a)))) (*.f64 a #s(literal 2 binary64))) | |
| 41.4% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) | |
| 34.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) | |
| 23.9% | (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 c (/.f64 b a))))) | |
| 40.7% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) | |
| 31.4% | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) c))) | |
| 23.9% | (*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) | |
| 26.2% | (*.f64 (/.f64 (/.f64 a b) a) (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) | |
| 24.2% | (*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) | |
| 34.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b)) | |
| 41.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) | |
| ▶ | 27.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
| 26.2% | (*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) | |
| 31.0% | (*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) | |
| ▶ | 31.5% | (neg.f64 (/.f64 c b)) |
Compiled 1 049 to 713 computations (32% 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))))) b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) b) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) |
| ✓ | cost-diff | 128 | (/.f64 c (/.f64 #s(literal 1 binary64) a)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) b) |
| ✓ | cost-diff | 0 | (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
| ✓ | cost-diff | -64 | (neg.f64 (/.f64 c b)) |
| ✓ | cost-diff | 0 | (/.f64 c b) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| 11 226× | accelerator-lowering-fma.f32 |
| 11 226× | accelerator-lowering-fma.f64 |
| 4 074× | *-lowering-*.f32 |
| 4 074× | *-lowering-*.f64 |
| 2 152× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 214 |
| 1 | 91 | 212 |
| 2 | 240 | 212 |
| 3 | 745 | 212 |
| 4 | 2907 | 212 |
| 5 | 3784 | 212 |
| 6 | 4840 | 212 |
| 7 | 7115 | 212 |
| 0 | 8049 | 203 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/ a 1/2)) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
b |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(/ a 1/2) |
1/2 |
(neg (/ c b)) |
(/ c b) |
c |
b |
(* (/ 1/2 a) (* a (/ (* -2 c) b))) |
(/ 1/2 a) |
1/2 |
a |
(* a (/ (* -2 c) b)) |
(/ (* -2 c) b) |
(* -2 c) |
-2 |
c |
b |
(/ (* (/ -2 b) (/ c (/ 1 a))) (* a 2)) |
(* (/ -2 b) (/ c (/ 1 a))) |
(/ -2 b) |
-2 |
b |
(/ c (/ 1 a)) |
c |
(/ 1 a) |
1 |
a |
(* a 2) |
2 |
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(/ 1 a) |
1 |
a |
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
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)) |
(* c -4) |
c |
-4 |
| Outputs |
|---|
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/ a 1/2)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* c (* a -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
c |
(* a -4) |
(*.f64 a #s(literal -4 binary64)) |
a |
-4 |
#s(literal -4 binary64) |
(/ a 1/2) |
(/.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(neg (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
c |
b |
(* (/ 1/2 a) (* a (/ (* -2 c) b))) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(* a (/ (* -2 c) b)) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(/ (* -2 c) b) |
(*.f64 c (/.f64 #s(literal -2 binary64) b)) |
(* -2 c) |
(*.f64 c #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
c |
b |
(/ (* (/ -2 b) (/ c (/ 1 a))) (* a 2)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* (/ -2 b) (/ c (/ 1 a))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b) |
(/ -2 b) |
(/.f64 #s(literal -2 binary64) b) |
-2 |
#s(literal -2 binary64) |
b |
(/ c (/ 1 a)) |
(*.f64 c a) |
c |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(* a 2) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
2 |
#s(literal 2 binary64) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(+ (* b b) (* a (* c -4))) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* a (* c -4)) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
c |
-4 |
#s(literal -4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 95.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| ✓ | accuracy | 81.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 60.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal 2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 c (/.f64 #s(literal 1 binary64) a)) |
| ✓ | accuracy | 93.7% | (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) |
| ✓ | accuracy | 84.3% | (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) a) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) c) |
| ✓ | accuracy | 90.6% | (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) |
| ✓ | accuracy | 84.2% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
| ✓ | accuracy | 100.0% | (/.f64 c b) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 c b)) |
| ✓ | accuracy | 99.1% | (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
| ✓ | accuracy | 95.7% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| ✓ | accuracy | 81.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 60.2% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| 52.0ms | 181× | 0 | valid |
| 49.0ms | 11× | 3 | valid |
| 37.0ms | 38× | 2 | valid |
| 10.0ms | 26× | 1 | valid |
Compiled 236 to 38 computations (83.9% saved)
ival-div: 20.0ms (36.6% of total)ival-mult: 17.0ms (31.1% of total)ival-sqrt: 6.0ms (11% of total)ival-sub: 4.0ms (7.3% of total)adjust: 3.0ms (5.5% of total)ival-add: 3.0ms (5.5% of total)...in/eval/compile.rkt:110:19: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/ a 1/2))> |
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)> |
#<alt (sqrt (+ (* b b) (* c (* a -4))))> |
#<alt (+ (* b b) (* c (* a -4)))> |
#<alt (/ c b)> |
#<alt (neg (/ c b))> |
#<alt (* (/ 1/2 a) (* a (/ (* -2 c) b)))> |
#<alt (/ 1/2 a)> |
#<alt (* a (/ (* -2 c) b))> |
#<alt (/ (* -2 c) b)> |
#<alt (/ (* (/ -2 b) (/ c (/ 1 a))) (* a 2))> |
#<alt (/ c (/ 1 a))> |
#<alt (* (/ -2 b) (/ c (/ 1 a)))> |
#<alt (/ -2 b)> |
#<alt (/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)))> |
#<alt (/ 1 a)> |
#<alt (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (* -2 c)> |
#<alt (* a 2)> |
#<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))> |
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#<alt (* 2 a)> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -4 (* a c))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | c | @ | -inf | (* (/ 1/2 a) (* a (/ (* -2 c) b))) |
| 2.0ms | c | @ | -inf | (/ (* (/ -2 b) (/ c (/ 1 a))) (* a 2)) |
| 1.0ms | a | @ | inf | (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1.0ms | a | @ | -inf | (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1.0ms | c | @ | inf | (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
| 1× | batch-egg-rewrite |
| 5 316× | *-lowering-*.f32 |
| 5 316× | *-lowering-*.f64 |
| 4 926× | accelerator-lowering-fma.f32 |
| 4 926× | accelerator-lowering-fma.f64 |
| 3 358× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 162 |
| 1 | 204 | 160 |
| 2 | 1776 | 160 |
| 0 | 8831 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (/ a 1/2)) |
(- (sqrt (+ (* b b) (* c (* a -4)))) b) |
(sqrt (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(/ c b) |
(neg (/ c b)) |
(* (/ 1/2 a) (* a (/ (* -2 c) b))) |
(/ 1/2 a) |
(* a (/ (* -2 c) b)) |
(/ (* -2 c) b) |
(/ (* (/ -2 b) (/ c (/ 1 a))) (* a 2)) |
(/ c (/ 1 a)) |
(* (/ -2 b) (/ c (/ 1 a))) |
(/ -2 b) |
(/ (/ 1 a) (/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(/ 1 a) |
(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(* -2 c) |
(* a 2) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.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 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) (/.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))))) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 a (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a)))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (+.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1/4 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (+.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
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(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
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(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64))) |
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(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)) |
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(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
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(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b) |
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (neg.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))))) (*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) (/.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) (*.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))) |
(*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(*.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 (*.f64 c c) #s(literal 16 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b)))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) (*.f64 b b))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) #s(literal -16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 11 560× | accelerator-lowering-fma.f32 |
| 11 560× | accelerator-lowering-fma.f64 |
| 8 802× | *-lowering-*.f32 |
| 8 802× | *-lowering-*.f64 |
| 4 522× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 822 | 9145 |
| 1 | 2719 | 8945 |
| 0 | 8401 | 8611 |
| 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)) |
(* 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 (/ 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))) |
(* (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)) |
(* 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)))))) |
(* -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)))))) |
(* (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 (* 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)))))))) |
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)))))))) |
(* -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)) |
(* 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)))) |
(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)))) |
(/ 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)) |
(/ 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) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ c b)) |
(* -2 (/ 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)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(* -2 (/ (* a c) b)) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(/ -2 b) |
(* -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 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2)))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(+ (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2)))))))) |
(* -1 (/ b (* a c))) |
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c)))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4)))))) |
(/ -1 b) |
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b)) |
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b c)) (/ a b)) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* -1 (* a (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(/ (+ (* -1 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 2 (/ (pow c 2) (pow b 5))))))) (+ (* -2 (/ c (pow b 3))) (/ c (pow b 3))))) (/ 1 b)))) a) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a)) |
(* -1 (/ b (* a c))) |
(/ (+ (* -1 (/ b a)) (/ c b)) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) |
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) c)) |
(* (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)))))) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 c) |
(* -2 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) |
(* (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 #s(literal -1/2 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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/16 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (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 c (*.f64 c a)) (*.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 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) c) (/.f64 (*.f64 c (*.f64 c a)) (*.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 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) c) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) 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 c (*.f64 c a)) (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 #s(literal 0 binary64) (*.f64 b (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -1 (/ c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c a)) (*.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 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c))) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)))))) |
(* 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))))))) |
(*.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 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (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 -1/16 binary64))))))) |
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(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
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(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) a)))) |
(* -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)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) a)) b) a)) (neg.f64 a)) |
(* (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))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
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(+ (* (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))))))))) |
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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)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))))) |
(* 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 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a (/.f64 c (*.f64 b 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 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))))) (-.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 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -4 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #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 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 b (*.f64 b b)))))))) |
(* (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 #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 c (*.f64 c a))))))))) |
(* 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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 c (*.f64 c a))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.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 c (*.f64 c a)))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 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 c (*.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))))) |
(* -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 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.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 c (*.f64 c a))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b (*.f64 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 c c)) (*.f64 b (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (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)))))) |
(* 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 (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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -4 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)) (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 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 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)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(-.f64 #s(literal 0 binary64) (*.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)) (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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 7 binary64))) (pow.f64 c #s(literal 5 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 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 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)) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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(* -2 c) |
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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 |
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b |
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(*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (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)))))) |
(* 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 (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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (sqrt.f64 #s(literal -4 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)) (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 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.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 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)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(-.f64 #s(literal 0 binary64) (*.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)) (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 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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 7 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (/.f64 (*.f64 c #s(literal -2 binary64)) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 (*.f64 c #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 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) c) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (*.f64 b (*.f64 b b)))))))) |
(* (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 #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 c (*.f64 c a))))))))) |
(* 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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a 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 c (*.f64 c a))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.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 c (*.f64 c a)))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 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 c (*.f64 #s(literal -1 binary64) (+.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))))) |
(* -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 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.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 c (*.f64 c a))))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.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 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a)))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))))) |
(* -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 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 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 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (-.f64 (*.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 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 (-.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))) |
Compiled 52 583 to 3 899 computations (92.6% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 342 | 21 | 2 363 |
| Fresh | 13 | 14 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 358 | 38 | 2 396 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (fma.f64 (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 25.5% | (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) | |
| 24.1% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) | |
| 27.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) | |
| 34.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) | |
| 41.3% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) | |
| 26.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) | |
| ▶ | 52.7% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| 19.0% | (/.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))) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b))) | |
| 20.5% | (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) | |
| 20.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| ✓ | 54.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| ✓ | 34.6% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 12.2% | (/.f64 (-.f64 b b) (/.f64 a #s(literal 1/2 binary64))) | |
| 25.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) | |
| ▶ | 39.0% | (/.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))) |
| 24.2% | (/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 b a)) | |
| 25.7% | (/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) | |
| 17.3% | (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) | |
| 36.8% | (/.f64 (*.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (*.f64 a a)) | |
| 27.4% | (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a) | |
| ▶ | 41.4% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) |
| 34.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) | |
| 28.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) | |
| 31.2% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) | |
| ▶ | 40.7% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
| 24.2% | (*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) | |
| ▶ | 23.9% | (*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
| 28.1% | (*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) a))) | |
| 26.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) | |
| 34.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b)) | |
| 41.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) | |
| 27.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) | |
| 25.7% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 26.2% | (*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) | |
| 23.9% | (neg.f64 (/.f64 (/.f64 c (/.f64 b a)) a)) | |
| ✓ | 31.5% | (neg.f64 (/.f64 c b)) |
Compiled 1 211 to 789 computations (34.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) |
| ✓ | cost-diff | 384 | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 384 | (/.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))) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 b b)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
| ✓ | cost-diff | 256 | (*.f64 b (/.f64 c (*.f64 b b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (/.f64 c (/.f64 b a)) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) a) |
| ✓ | cost-diff | 0 | (/.f64 b (-.f64 #s(literal 0 binary64) a)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #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 c (*.f64 a #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 c (*.f64 a #s(literal -4 binary64))))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| 6 194× | accelerator-lowering-fma.f32 |
| 6 194× | accelerator-lowering-fma.f64 |
| 4 148× | *-lowering-*.f32 |
| 4 148× | *-lowering-*.f64 |
| 2 472× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 234 |
| 1 | 88 | 234 |
| 2 | 219 | 227 |
| 3 | 589 | 218 |
| 4 | 1790 | 212 |
| 5 | 6593 | 212 |
| 0 | 8389 | 204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) (/ a 1/2)) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) |
1 |
(sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
(/ 1 (+ (* b b) (* c (* a -4)))) |
(+ (* b b) (* c (* a -4))) |
(* b b) |
b |
(* c (* a -4)) |
c |
(* a -4) |
a |
-4 |
(/ a 1/2) |
1/2 |
(/ b (- 0 a)) |
b |
(- 0 a) |
0 |
a |
(* (/ c (/ b a)) (/ -1 a)) |
(/ c (/ b a)) |
c |
(/ b a) |
b |
a |
(/ -1 a) |
-1 |
(- (* b (/ c (* b b))) (/ b a)) |
(* b (/ c (* b b))) |
b |
(/ c (* b b)) |
c |
(* b b) |
(/ b a) |
a |
(/ (* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) (* a 2)) |
(* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) |
(+ 2 (/ (* c (* a -2)) (* b b))) |
2 |
(/ (* c (* a -2)) (* b b)) |
(* c (* a -2)) |
c |
(* a -2) |
a |
-2 |
(* b b) |
b |
(- 0 b) |
0 |
(* a 2) |
| Outputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) (/ a 1/2)) |
(/.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 1/2 binary64))) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -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) (* c (* a -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) (* c (* a -4))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(/ 1 (+ (* b b) (* c (* a -4)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* c (* a -4))) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
b |
(* 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) |
(/ a 1/2) |
(/.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 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 |
(* (/ c (/ b a)) (/ -1 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/ c (/ b a)) |
(*.f64 c (/.f64 a b)) |
c |
(/ b a) |
(/.f64 b a) |
b |
a |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
-1 |
#s(literal -1 binary64) |
(- (* b (/ c (* b b))) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* b (/ c (* b b))) |
(/.f64 c b) |
b |
(/ c (* b b)) |
(/.f64 c (*.f64 b b)) |
c |
(* b b) |
(*.f64 b b) |
(/ b a) |
(/.f64 b a) |
a |
(/ (* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) (* a 2)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) |
(*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 c (/.f64 a b)))) |
(+ 2 (/ (* c (* a -2)) (* b b))) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))))) |
2 |
#s(literal 2 binary64) |
(/ (* c (* a -2)) (* b b)) |
(/.f64 (*.f64 c (/.f64 (/.f64 a #s(literal -1/2 binary64)) b)) b) |
(* c (* a -2)) |
(*.f64 c (/.f64 a #s(literal -1/2 binary64))) |
c |
(* a -2) |
(/.f64 a #s(literal -1/2 binary64)) |
a |
-2 |
#s(literal -2 binary64) |
(* b b) |
(*.f64 b b) |
b |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
0 |
#s(literal 0 binary64) |
(* a 2) |
(/.f64 a #s(literal 1/2 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -2 binary64)) |
| ✓ | accuracy | 95.6% | (/.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))) |
| ✓ | accuracy | 93.8% | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 87.6% | (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 92.7% | (/.f64 c (*.f64 b b)) |
| ✓ | accuracy | 77.9% | (*.f64 b (/.f64 c (*.f64 b b))) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) a) |
| ✓ | accuracy | 92.5% | (/.f64 c (/.f64 b a)) |
| ✓ | accuracy | 84.2% | (*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | accuracy | 100.0% | (/.f64 b (-.f64 #s(literal 0 binary64) a)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) a) |
| ✓ | accuracy | 98.9% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
| ✓ | accuracy | 95.7% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| ✓ | accuracy | 81.9% | (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b) |
| ✓ | accuracy | 60.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
| 44.0ms | 181× | 0 | valid |
| 31.0ms | 43× | 2 | valid |
| 13.0ms | 26× | 1 | valid |
| 5.0ms | 6× | 3 | valid |
Compiled 248 to 39 computations (84.3% saved)
ival-div: 29.0ms (45.6% of total)ival-mult: 17.0ms (26.7% of total)ival-sub: 5.0ms (7.9% of total)adjust: 4.0ms (6.3% of total)ival-sqrt: 4.0ms (6.3% of total)ival-add: 3.0ms (4.7% of total)...in/eval/compile.rkt:110:19: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) (/ a 1/2))> |
#<alt (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b)> |
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))> |
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))> |
#<alt (/ b (- 0 a))> |
#<alt (- 0 a)> |
#<alt (* (/ c (/ b a)) (/ -1 a))> |
#<alt (/ c (/ b a))> |
#<alt (/ b a)> |
#<alt (/ -1 a)> |
#<alt (* b (/ c (* b b)))> |
#<alt (- (* b (/ c (* b b))) (/ b a))> |
#<alt (/ c (* b b))> |
#<alt (* b b)> |
#<alt (/ (* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) (* a 2))> |
#<alt (* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b))> |
#<alt (+ 2 (/ (* c (* a -2)) (* b b)))> |
#<alt (/ (* c (* a -2)) (* b b))> |
#<alt (/ 1 (+ (* b b) (* c (* a -4))))> |
#<alt (* a -2)> |
| 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 (* 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 (/ 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 (* (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 (* 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))))))> |
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#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (/ c (pow b 2))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))> |
#<alt (/ c b)> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (/ c b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))> |
#<alt (* -2 b)> |
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))> |
#<alt (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))> |
#<alt (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))> |
#<alt (* -2 b)> |
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))> |
#<alt (+ (* -2 b) (* 2 (/ (* a c) b)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))> |
#<alt (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))> |
#<alt (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)> |
#<alt (/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)> |
#<alt (/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* -2 b)> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))> |
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))> |
#<alt (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))> |
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))> |
#<alt (* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))> |
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))> |
#<alt (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))> |
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))> |
#<alt (/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (+ 2 (* -2 (/ (* a c) (pow b 2))))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (* -2 (/ (* a c) (pow b 2)))> |
#<alt (/ -1/4 (* a c))> |
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))> |
#<alt (- (* (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))))> |
#<alt (- (* (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))))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 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))> |
#<alt (/ 1 (pow b 2))> |
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))> |
#<alt (/ (- (+ 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))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))> |
#<alt (+ (* 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)))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)> |
#<alt (/ (- (* -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)> |
#<alt (/ (- (* -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)> |
#<alt (/ -1/4 (* a c))> |
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (/ 1 (pow b 2))> |
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))> |
#<alt (+ (* 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)))> |
#<alt (/ -1/4 (* a c))> |
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)> |
#<alt (/ (- (* -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)> |
#<alt (/ (- (* -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)> |
#<alt (/ -1/4 (* a c))> |
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<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)> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | 0 | (/ b (- 0 a)) |
| 1.0ms | b | @ | 0 | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 1.0ms | a | @ | inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 1.0ms | c | @ | inf | (sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
| 1.0ms | a | @ | inf | (/ (* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) (* a 2)) |
| 1× | batch-egg-rewrite |
| 4 934× | *-lowering-*.f32 |
| 4 934× | *-lowering-*.f64 |
| 4 424× | /-lowering-/.f32 |
| 4 424× | /-lowering-/.f64 |
| 1 974× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 180 |
| 1 | 240 | 165 |
| 2 | 2184 | 155 |
| 0 | 8387 | 147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) (/ a 1/2)) |
(- (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) b) |
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))) |
(sqrt (/ 1 (+ (* b b) (* c (* a -4))))) |
(/ b (- 0 a)) |
(- 0 a) |
(* (/ c (/ b a)) (/ -1 a)) |
(/ c (/ b a)) |
(/ b a) |
(/ -1 a) |
(* b (/ c (* b b))) |
(- (* b (/ c (* b b))) (/ b a)) |
(/ c (* b b)) |
(* b b) |
(/ (* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) (* a 2)) |
(* (+ 2 (/ (* c (* a -2)) (* b b))) (- 0 b)) |
(+ 2 (/ (* c (* a -2)) (* b b))) |
(/ (* c (* a -2)) (* b b)) |
(/ 1 (+ (* b b) (* c (* a -4)))) |
(* a -2) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal 1/2 binary64))) (/.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 #s(literal -4 binary64) c)))) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.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 #s(literal -4 binary64) c)))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1/2 binary64) a) (/.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 #s(literal -4 binary64) c)))) a) (/.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 #s(literal -4 binary64) c)))) #s(literal 2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) a) #s(literal 1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) 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 #s(literal -4 binary64) c)))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) #s(literal 1 binary64))) |
(/.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 #s(literal -4 binary64) c)))) b))))) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) 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 #s(literal -4 binary64) c)))) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b)) (/.f64 a #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #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 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))))) |
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 a #s(literal 1/2 binary64))) (*.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (*.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 #s(literal -4 binary64) c))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (/.f64 a #s(literal 1/2 binary64)))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) #s(literal -8 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))) (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) #s(literal -8 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) #s(literal -8 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(neg.f64 (/.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)))) |
(/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)) |
(/.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b) b) |
(/.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (neg.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) (-.f64 #s(literal 0 binary64) b)) |
(/.f64 (*.f64 (/.f64 c b) (/.f64 a #s(literal -1/2 binary64))) b) |
(/.f64 (neg.f64 (*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b))) (neg.f64 (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(pow.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b))) |
(*.f64 c (*.f64 a (/.f64 #s(literal -2 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -2 binary64) b)) |
(*.f64 (/.f64 c (/.f64 b a)) (pow.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c b) (/.f64 (/.f64 a #s(literal -1/2 binary64)) b)) |
(*.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 c (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 (/.f64 a #s(literal -1/2 binary64)) b) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 c a) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
(*.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) (*.f64 b b))) c) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -64 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (-.f64 (*.f64 a (*.f64 #s(literal -4 binary64) c)) (*.f64 b b))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 c a) (*.f64 c a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (*.f64 #s(literal -4 binary64) c)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 a #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) a))) |
(/.f64 a #s(literal -1/2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)))) |
(pow.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) #s(literal -1 binary64)) |
(*.f64 a #s(literal -2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 a #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 #s(literal -2 binary64) a) |
| 1× | egg-herbie |
| 11 156× | accelerator-lowering-fma.f32 |
| 11 156× | accelerator-lowering-fma.f64 |
| 9 610× | *-lowering-*.f32 |
| 9 610× | *-lowering-*.f64 |
| 4 506× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 938 | 7637 |
| 1 | 3000 | 7531 |
| 0 | 8739 | 7247 |
| 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)) |
(* 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 (/ 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))) |
(* (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)) |
(* 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)))))) |
(* -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)))))) |
(* (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 (* 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)))))))) |
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)))))))) |
(* (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)) |
(+ (* 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))))) |
(/ 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 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)) |
(* -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)) |
(/ (* 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) |
(/ 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) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ -1 a) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(/ c (pow b 2)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -2 (/ (* a c) (pow b 2))) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(* -2 (/ (* a c) (pow b 2))) |
(/ -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))) |
(+ (* 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)) |
(/ 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)) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 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 (*.f64 #s(literal 1/4 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a)))))) (/.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 #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 a (*.f64 c (*.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 c (*.f64 c a)) (*.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 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 c (*.f64 c a)) (*.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 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))) b) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) 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 c (*.f64 c a)) (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 #s(literal 0 binary64) (*.f64 b (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (*.f64 b b))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (pow.f64 b #s(literal 6 binary64)))))) |
(* -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 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) c))) (*.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 (*.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)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.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))))))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (+.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 -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (*.f64 c a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -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))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (*.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 -1/8 binary64)))) c))) |
(* -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))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64))) (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c)) c))) |
(* -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 c (*.f64 c a)) (*.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 #s(literal -2 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (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))))))) |
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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)) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.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)))))) |
(*.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 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c a) (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 4 binary64)))))))) |
(* -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 c (*.f64 a #s(literal -2 binary64))) b)) |
(+ 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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(* -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)))))) |
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(* -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))))))) |
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(* -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)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) b)) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (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)))) |
(*.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)))))) |
(* 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 #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 (*.f64 (sqrt.f64 (/.f64 c a)) (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)))))) |
(* 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 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (*.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)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #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 (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 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 (+.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)))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (+.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 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 (/.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 #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)))))))) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1/4 binary64))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
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(+ (* (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))))))) |
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(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b))) b) |
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(* 2 (/ (* a c) b)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) b)) |
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(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) b)) |
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(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (/.f64 (*.f64 #s(literal 2 binary64) b) a))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (/.f64 (*.f64 #s(literal 2 binary64) b) a))) |
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(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c a) b)) |
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(/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 2 binary64)))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 2 binary64)))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/.f64 (+.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 c (*.f64 a #s(literal 2 binary64)))) b) |
(* -2 b) |
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(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -2 binary64))) |
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(*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 b b)) #s(literal -2 binary64))) |
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(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
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2 |
#s(literal 2 binary64) |
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(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
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(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
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(*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))) |
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(*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))) |
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(*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))) |
(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c))) |
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(*.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
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(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
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(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) |
(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2 binary64) a))) |
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(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2 binary64) a))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 2 binary64) a))) |
(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -2 binary64) a))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 c (*.f64 b b))) (/.f64 #s(literal -2 binary64) a))) |
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(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64)))) (*.f64 b b)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64)))) (*.f64 b b)) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/.f64 (+.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b (*.f64 b #s(literal 2 binary64)))) (*.f64 b b)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
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(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
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(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* -2 (/ (* a c) (pow b 2))) |
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(* -2 (/ (* a c) (pow b 2))) |
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(* -2 (/ (* a c) (pow b 2))) |
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(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
(* -2 (/ (* a c) (pow b 2))) |
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(* -2 (/ (* a c) (pow b 2))) |
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(* -2 (/ (* a c) (pow b 2))) |
(/.f64 (*.f64 c (*.f64 a #s(literal -2 binary64))) (*.f64 b b)) |
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(* -2 (/ (* a c) (pow b 2))) |
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(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
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(- (* (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)))) |
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(- (* (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)))) |
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(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
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(/ (- (+ 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)) |
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(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 c a)) (*.f64 b b))) (*.f64 b b)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
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(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
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(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) 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) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 a (*.f64 c (*.f64 a a))))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a 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) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 a (*.f64 c (*.f64 a a)))))))) c) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -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 a (*.f64 c (*.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 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) c)) (/.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)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64)))))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))))) |
(+ (* 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))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 c (*.f64 c (*.f64 c a)))) (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))))) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 c a))) (/.f64 #s(literal -1/4 binary64) 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) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a))))) (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 c a))))) 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) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 c a))) (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 c (*.f64 c (*.f64 a a)))))))) a) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (*.f64 c (*.f64 c a)))) (-.f64 #s(literal 0 binary64) 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)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 c (*.f64 c a)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (-.f64 #s(literal 0 binary64) 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)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 a (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 c (*.f64 c c)))) (-.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) (*.f64 c c)))) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -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)) |
Compiled 36 310 to 4 457 computations (87.7% saved)
46 alts after pruning (42 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 632 | 23 | 1 655 |
| Fresh | 11 | 19 | 30 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 647 | 46 | 1 693 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (fma.f64 (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) | |
| 25.5% | (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) | |
| 24.2% | (/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) | |
| 24.1% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) | |
| 27.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) | |
| 34.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) | |
| 41.3% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) | |
| 26.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) | |
| 39.6% | (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) | |
| 30.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b) (/.f64 a #s(literal 1/2 binary64))) | |
| 31.8% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) b) (/.f64 a #s(literal 1/2 binary64))) | |
| 19.0% | (/.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))) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b))) | |
| 20.5% | (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) | |
| 20.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) | |
| 10.9% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) | |
| 20.9% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) b))) | |
| ✓ | 54.4% | (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) |
| ✓ | 34.6% | (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
| 25.8% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) | |
| 36.8% | (/.f64 (*.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (*.f64 a a)) | |
| 23.9% | (/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a) | |
| 11.9% | (/.f64 c b) | |
| 16.8% | (/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) | |
| 41.4% | (/.f64 b (neg.f64 a)) | |
| 34.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) | |
| 28.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) | |
| 17.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b a) (/.f64 c b)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (/.f64 b a) b) a)))) | |
| 41.2% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| 35.1% | (-.f64 (/.f64 (*.f64 b c) (*.f64 b b)) (/.f64 b a)) | |
| 41.2% | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| 40.7% | (-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (/.f64 b a)) | |
| ✓ | 23.9% | (*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
| 24.2% | (*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)) | |
| 39.0% | (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) | |
| 15.2% | (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) | |
| 21.5% | (*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) | |
| 26.1% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) | |
| 34.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b)) | |
| 27.3% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) | |
| 41.3% | (*.f64 (/.f64 #s(literal -1 binary64) a) b) | |
| 25.7% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) | |
| 23.9% | (*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a)) | |
| 28.1% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) a) | |
| 26.2% | (*.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a))) | |
| ✓ | 31.5% | (neg.f64 (/.f64 c b)) |
Compiled 1 959 to 793 computations (59.5% saved)
| Inputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 b b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(neg.f64 (/.f64 (/.f64 c (/.f64 b a)) a)) |
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a) |
(/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) |
(*.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) a) |
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)) |
(*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) |
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 (/.f64 a b) a) (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 b c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 c (/.f64 b a))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b a)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) |
(*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) |
(/.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 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b a) (/.f64 c b)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (/.f64 b a) b) a)))) |
(/.f64 (-.f64 (*.f64 b (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 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 1/2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) |
(*.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 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 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 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 (*.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal 2 binary64))) (*.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.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 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) a) (/.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 a #s(literal 2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64))) |
(/.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))) |
(/.f64 (-.f64 (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)) b) (*.f64 a #s(literal 2 binary64))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) a) (/.f64 (sqrt.f64 c) #s(literal 2 binary64)) (neg.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) |
(fma.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)) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (/.f64 c b)) |
4 calls:
| 26.0ms | c |
| 25.0ms | b |
| 25.0ms | a |
| 23.0ms | (/.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 |
|---|---|---|
| 57.7% | 2 | a |
| 88.7% | 3 | b |
| 60.5% | 3 | c |
| 77.0% | 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 |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 b b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(neg.f64 (/.f64 (/.f64 c (/.f64 b a)) a)) |
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a) |
(/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) |
(*.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) a) |
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)) |
(*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) |
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 (/.f64 a b) a) (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 b c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 c (/.f64 b a))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b a)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) |
(*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) |
(/.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 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b a) (/.f64 c b)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (/.f64 b a) b) a)))) |
(/.f64 (-.f64 (*.f64 b (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 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 1/2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) |
(*.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 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(neg.f64 (/.f64 c b)) |
1 calls:
| 20.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 b b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(neg.f64 (/.f64 (/.f64 c (/.f64 b a)) a)) |
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a) |
(/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) |
(*.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) a) |
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)) |
(*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) |
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 (/.f64 a b) a) (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 b c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 c (/.f64 b a))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b a)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) |
(*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) |
(/.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 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b a) (/.f64 c b)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (/.f64 b a) b) a)))) |
(/.f64 (-.f64 (*.f64 b (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 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 1/2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b 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)) |
(neg.f64 (/.f64 c b)) |
1 calls:
| 28.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 b b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(neg.f64 (/.f64 (/.f64 c (/.f64 b a)) a)) |
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a) |
(/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) |
(*.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) a) |
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)) |
(*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) |
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 (/.f64 a b) a) (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 b c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 c (/.f64 b a))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b a)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) |
(*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) |
(/.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 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b a) (/.f64 c b)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (/.f64 b a) b) a)))) |
(/.f64 (-.f64 (*.f64 b (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 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 1/2 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)))) b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64)) b))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (/.f64 c b)) |
1 calls:
| 31.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b c))) |
(/.f64 (-.f64 b b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 b b) (/.f64 a #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) |
(neg.f64 (/.f64 (/.f64 c (/.f64 b a)) a)) |
(/.f64 (neg.f64 (/.f64 c (/.f64 b a))) a) |
(/.f64 (*.f64 b (neg.f64 a)) (*.f64 a a)) |
(*.f64 c (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c b)) a) |
(*.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 a b)) |
(*.f64 (/.f64 c (/.f64 b a)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (/.f64 c (/.f64 b a)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 b a)) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/.f64 (/.f64 c (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (*.f64 (/.f64 a b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b a))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b)) |
(*.f64 (/.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (/.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 (/.f64 a b) a) (/.f64 (*.f64 c #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 b (/.f64 c (*.f64 b b))) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 b c) (*.f64 b b)) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a (/.f64 c (/.f64 b a))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 c (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 b a)) |
(/.f64 (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) a) b) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) b) a) (/.f64 #s(literal 2 binary64) (*.f64 c a))) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(-.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) c))) (/.f64 b a)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c (/.f64 #s(literal 1 binary64) (/.f64 b a)))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 c (/.f64 #s(literal 1 binary64) a))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) (/.f64 b c))) (/.f64 c b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)) |
(*.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (/.f64 (*.f64 c (/.f64 a b)) b) b))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)) (/.f64 (/.f64 c b) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c (/.f64 b #s(literal -2 binary64))) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 (/.f64 c b) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))))) |
(*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) (*.f64 b b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a))))) |
(/.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 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 b a) (/.f64 c b)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (*.f64 (/.f64 b a) b) a)))) |
(/.f64 (-.f64 (*.f64 b (-.f64 (*.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b b)))) (*.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (*.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b (*.f64 b b))))) (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) |
| Outputs |
|---|
(-.f64 (/.f64 c b) (/.f64 b a)) |
(neg.f64 (/.f64 c b)) |
1 calls:
| 37.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
(/.f64 b (neg.f64 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
(neg.f64 (/.f64 c b)) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 c b) |
(neg.f64 (/.f64 c b)) |
| Outputs |
|---|
(neg.f64 (/.f64 c b)) |
3 calls:
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.5% | 1 | a |
| 31.5% | 1 | c |
| 31.5% | 1 | b |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 c b) |
| Outputs |
|---|
(/.f64 c b) |
3 calls:
| 19.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.9% | 1 | b |
| 11.9% | 1 | c |
| 11.9% | 1 | a |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 2.472487627829073e-10 | 0.027039389086299995 |
| 14.0ms | -4.978395349530938e+121 | -1.4781445040958897e+117 |
| 19.0ms | 49× | 2 | valid |
| 14.0ms | 178× | 0 | valid |
| 7.0ms | 45× | 1 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 523 to 368 computations (29.6% saved)
ival-sqrt: 13.0ms (40.1% of total)ival-mult: 9.0ms (27.8% of total)ival-div: 3.0ms (9.3% of total)adjust: 2.0ms (6.2% of total)ival-sub: 2.0ms (6.2% of total)ival-neg: 2.0ms (6.2% of total)ival-add: 2.0ms (6.2% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 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 | 2.472487627829073e-10 | 0.027039389086299995 |
| 19.0ms | -4.978395349530938e+121 | -1.4781445040958897e+117 |
| 23.0ms | 195× | 0 | valid |
| 8.0ms | 40× | 2 | valid |
| 6.0ms | 37× | 1 | valid |
| 2.0ms | 23× | 0 | invalid |
Compiled 523 to 368 computations (29.6% saved)
ival-mult: 13.0ms (46.9% of total)ival-div: 4.0ms (14.4% of total)ival-sqrt: 3.0ms (10.8% of total)ival-sub: 2.0ms (7.2% of total)ival-neg: 2.0ms (7.2% of total)ival-add: 2.0ms (7.2% of total)adjust: 1.0ms (3.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 2.472487627829073e-10 | 0.027039389086299995 |
| 16.0ms | -4.978395349530938e+121 | -1.4781445040958897e+117 |
| 16.0ms | 183× | 0 | valid |
| 10.0ms | 47× | 2 | valid |
| 9.0ms | 42× | 1 | valid |
| 2.0ms | 22× | 0 | invalid |
Compiled 523 to 368 computations (29.6% saved)
ival-mult: 9.0ms (38.1% of total)ival-div: 3.0ms (12.7% of total)ival-sqrt: 3.0ms (12.7% of total)adjust: 2.0ms (8.5% of total)ival-sub: 2.0ms (8.5% of total)ival-neg: 2.0ms (8.5% of total)ival-add: 2.0ms (8.5% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 2.3740152327619794e-33 | 8.892340704881044e-21 |
| 22.0ms | -1.4424903757651738e-115 | -1.0106706326009101e-121 |
| 17.0ms | 218× | 0 | valid |
| 15.0ms | 51× | 2 | valid |
| 8.0ms | 82× | 0 | invalid |
| 5.0ms | 35× | 1 | valid |
Compiled 506 to 371 computations (26.7% saved)
ival-mult: 10.0ms (35.8% of total)ival-neg: 4.0ms (14.3% of total)ival-sqrt: 4.0ms (14.3% of total)ival-div: 3.0ms (10.7% of total)adjust: 2.0ms (7.2% of total)ival-sub: 2.0ms (7.2% of total)ival-add: 2.0ms (7.2% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -7.114767047831132e-300 | 1.0331410593303462e-307 |
| 14.0ms | 160× | 0 | valid |
| 8.0ms | 89× | 0 | invalid |
Compiled 213 to 150 computations (29.6% saved)
ival-mult: 5.0ms (38.2% of total)ival-div: 2.0ms (15.3% of total)ival-sqrt: 2.0ms (15.3% of total)ival-add: 1.0ms (7.6% of total)ival-sub: 1.0ms (7.6% of total)ival-neg: 1.0ms (7.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 1.3078093244053877e-304 | 6.367298109930604e-301 |
| 46.0ms | 128× | 0 | valid |
| 5.0ms | 60× | 0 | invalid |
Compiled 151 to 116 computations (23.2% saved)
ival-mult: 4.0ms (42.5% of total)ival-div: 1.0ms (10.6% of total)ival-add: 1.0ms (10.6% of total)ival-sub: 1.0ms (10.6% of total)ival-sqrt: 1.0ms (10.6% of total)ival-neg: 1.0ms (10.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 170 |
| 1 | 79 | 170 |
| 2 | 93 | 170 |
| 3 | 101 | 170 |
| 4 | 104 | 170 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -44000000000000000266901915280380607798837876138511845198583020304694548112401283613912173181162071384219423863030232907776 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4835703278458517/19342813113834066795298816 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -12000000000000000906790928163766169985436109965807572616546274326109830844323564399038911263402313312066589457235767721984 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 5440166188265831/151115727451828646838272 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4835703278458517/19342813113834066795298816 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)) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1170343108018887/1427247692705959881058285969449495136382746624 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal 6670972704220443/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(neg.f64 (/.f64 c b)) |
(/.f64 c b) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -44000000000000000266901915280380607798837876138511845198583020304694548112401283613912173181162071384219423863030232907776 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4835703278458517/19342813113834066795298816 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -44000000000000000266901915280380607798837876138511845198583020304694548112401283613912173181162071384219423863030232907776 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4835703278458517/19342813113834066795298816 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 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -12000000000000000906790928163766169985436109965807572616546274326109830844323564399038911263402313312066589457235767721984 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 5440166188265831/151115727451828646838272 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -12000000000000000906790928163766169985436109965807572616546274326109830844323564399038911263402313312066589457235767721984 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 5440166188265831/151115727451828646838272 binary64)) (/.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 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4835703278458517/19342813113834066795298816 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)) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -580000000000000014203871071376941190989642084028743024510772149005010642531783103872460228254849705845478846093938655232 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 4835703278458517/19342813113834066795298816 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 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1170343108018887/1427247692705959881058285969449495136382746624 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b)))) |
(if (<=.f64 b #s(literal -2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1170343108018887/1427247692705959881058285969449495136382746624 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (<=.f64 b #s(literal 6670972704220443/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b))) |
(if (<=.f64 b #s(literal 6670972704220443/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(neg.f64 (/.f64 c b)) |
(-.f64 #s(literal 0 binary64) (/.f64 c b)) |
(/.f64 c b) |
| 11 550× | accelerator-lowering-fma.f32 |
| 11 550× | accelerator-lowering-fma.f64 |
| 11 156× | accelerator-lowering-fma.f32 |
| 11 156× | accelerator-lowering-fma.f64 |
| 9 610× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 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 | 35 | 186 |
| 1 | 199 | 180 |
| 2 | 1702 | 176 |
| 0 | 8295 | 162 |
| 0 | 543 | 3249 |
| 1 | 1746 | 3208 |
| 2 | 6131 | 3180 |
| 0 | 8163 | 3023 |
| 0 | 938 | 7637 |
| 1 | 3000 | 7531 |
| 0 | 8739 | 7247 |
| 0 | 13 | 47 |
| 1 | 61 | 47 |
| 2 | 493 | 47 |
| 3 | 6437 | 47 |
| 0 | 8508 | 43 |
| 0 | 37 | 180 |
| 1 | 240 | 165 |
| 2 | 2184 | 155 |
| 0 | 8387 | 147 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 548 to 318 computations (42% saved)
Compiled 492 to 184 computations (62.6% saved)
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