
Time bar (total: 17.5s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.5% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 47.5% | 44.5% | 49.1% | 0.1% | 0% | 6.2% | 0% | 8 |
| 54.7% | 49.9% | 41.3% | 0.1% | 0% | 8.6% | 0% | 9 |
| 61% | 52.9% | 33.7% | 0.1% | 0% | 13.3% | 0% | 10 |
| 67.4% | 57.8% | 28% | 0.1% | 0% | 14% | 0% | 11 |
| 72.5% | 60.5% | 23% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 40 to 22 computations (45% saved)
| 1.1s | 8 256× | 0 | valid |
| 114.0ms | 945× | 0 | invalid |
ival-mult: 420.0ms (46.5% of total)ival-div: 121.0ms (13.4% of total)ival-sqrt: 91.0ms (10.1% of total)ival-sub: 84.0ms (9.3% of total)ival-add: 53.0ms (5.9% of total)ival-if: 43.0ms (4.8% of total)ival-neg: 41.0ms (4.5% of total)ival->=: 30.0ms (3.3% of total)exact: 12.0ms (1.3% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| 2× | egg-herbie |
| 1 344× | accelerator-lowering-fma.f32 |
| 1 344× | accelerator-lowering-fma.f64 |
| 1 206× | distribute-lft-in |
| 1 046× | associate-/r* |
| 992× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 393 |
| 1 | 242 | 373 |
| 2 | 708 | 373 |
| 3 | 1866 | 365 |
| 4 | 4611 | 365 |
| 5 | 6332 | 365 |
| 6 | 7016 | 365 |
| 7 | 7247 | 365 |
| 8 | 7300 | 365 |
| 9 | 7322 | 365 |
| 10 | 7631 | 365 |
| 11 | 7842 | 365 |
| 12 | 7870 | 365 |
| 13 | 7870 | 365 |
| 14 | 7870 | 365 |
| 0 | 20 | 38 |
| 1 | 44 | 37 |
| 2 | 115 | 37 |
| 3 | 266 | 36 |
| 4 | 460 | 36 |
| 5 | 836 | 36 |
| 6 | 1684 | 36 |
| 7 | 2250 | 36 |
| 8 | 2626 | 36 |
| 9 | 2881 | 36 |
| 10 | 2906 | 36 |
| 11 | 2915 | 36 |
| 12 | 2962 | 36 |
| 13 | 3118 | 36 |
| 14 | 3154 | 36 |
| 15 | 3200 | 36 |
| 16 | 3204 | 36 |
| 17 | 3204 | 36 |
| 0 | 3204 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
| Outputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
| Inputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))) |
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))) |
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))) |
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))))) |
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))))) |
| Outputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))) |
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* 4 (* a c)))) b))) |
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))) |
(if (>= (neg b) 0) (* (- (sqrt (+ (* b b) (* a (* c -4)))) b) (/ -1/2 a)) (/ (* c 2) (+ b (sqrt (+ (* b b) (* a (* c -4))))))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))) |
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a)) (/ (* c 2) (- b (sqrt (+ (* b b) (* 4 (* a c))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))) |
(neg (if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* 4 (* a c)))) b)))) |
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))) |
(neg (if (>= (neg b) 0) (* (- (sqrt (+ (* b b) (* a (* c -4)))) b) (/ -1/2 a)) (/ (* c 2) (+ b (sqrt (+ (* b b) (* a (* c -4)))))))) |
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))) |
(neg (if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a)) (/ (* c 2) (- b (sqrt (+ (* b b) (* 4 (* a c)))))))) |
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))))) |
(if (>= a 0) (* (+ a (sqrt (+ (* a a) (* b (* c -4))))) (/ -1/2 b)) (/ (* c 2) (- (sqrt (+ (* a a) (* b (* c -4)))) a))) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))))) |
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 c)) (/ (* a 2) (- (sqrt (+ (* b b) (* a (* c -4)))) b))) |
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))))) |
(if (>= c 0) (* (+ c (sqrt (+ (* c c) (* b (* a -4))))) (/ -1/2 a)) (/ (* b 2) (- (sqrt (+ (* c c) (* b (* a -4)))) c))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 99 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 66 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 58 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 17 | 0 | - | 1 | (-1.40224217054421e-78 -1.932127983128804e+297 -4.6923257003519826e+60) | (/.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)) |
| 13 | 0 | - | 2 | (-4.0679718186883704e+109 6.079653806286646e+246 1.6581438136933157e-180) | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (>=.f64 b #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 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 | 95 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 95 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 21 | |
| ↳ | (*.f64 b b) | overflow | 80 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 66 | 0 |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 58 | 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 | 16 | 0 |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 25 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 38 | |
| ↳ | (*.f64 b b) | underflow | 45 | |
/.f64 | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | n/u | 10 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 27 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 38 | |
| ↳ | (*.f64 b b) | underflow | 45 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 4 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 38 | |
| ↳ | (*.f64 b b) | underflow | 45 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 80 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 21 | |
/.f64 | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | n/o | 1 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 95 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 21 | |
| ↳ | (*.f64 b b) | overflow | 80 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 72 | 0 |
| - | 110 | 74 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 72 | 0 | 0 |
| - | 110 | 0 | 74 |
| number | freq |
|---|---|
| 0 | 74 |
| 1 | 115 |
| 2 | 62 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 172× | 2 | valid |
| 36.0ms | 148× | 1 | valid |
| 24.0ms | 164× | 0 | valid |
| 12.0ms | 28× | 3 | valid |
Compiled 376 to 84 computations (77.7% saved)
ival-mult: 27.0ms (29.8% of total)ival-div: 15.0ms (16.6% of total)ival-sub: 11.0ms (12.1% of total)adjust: 11.0ms (12.1% of total)ival-sqrt: 9.0ms (9.9% of total)ival-neg: 5.0ms (5.5% of total)ival-if: 5.0ms (5.5% of total)ival-add: 5.0ms (5.5% of total)ival->=: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.5% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 41 to 20 computations (51.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 128 | (/.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)) |
| 1 344× | accelerator-lowering-fma.f32 |
| 1 344× | accelerator-lowering-fma.f64 |
| 936× | *-lowering-*.f32 |
| 936× | *-lowering-*.f64 |
| 470× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 145 |
| 1 | 44 | 142 |
| 2 | 115 | 142 |
| 3 | 266 | 140 |
| 4 | 460 | 140 |
| 5 | 836 | 140 |
| 6 | 1684 | 140 |
| 7 | 2250 | 140 |
| 8 | 2626 | 140 |
| 9 | 2881 | 140 |
| 10 | 2906 | 140 |
| 11 | 2915 | 140 |
| 12 | 2962 | 140 |
| 13 | 3118 | 140 |
| 14 | 3154 | 140 |
| 15 | 3200 | 140 |
| 16 | 3204 | 140 |
| 17 | 3204 | 140 |
| 0 | 3204 | 132 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
a |
c |
(* 2 a) |
2 |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| Outputs |
|---|
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) |
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
4 |
#s(literal 4 binary64) |
a |
c |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 c #s(literal 2 binary64)) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 94.1% | (/.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 | 79.1% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 76.3% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 63.9% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 29.0ms | 86× | 2 | valid |
| 21.0ms | 74× | 1 | valid |
| 11.0ms | 82× | 0 | valid |
| 6.0ms | 14× | 3 | valid |
Compiled 147 to 22 computations (85% saved)
ival-mult: 11.0ms (24% of total)ival-div: 7.0ms (15.3% of total)adjust: 6.0ms (13.1% of total)ival-if: 6.0ms (13.1% of total)ival-sub: 5.0ms (10.9% of total)ival-sqrt: 4.0ms (8.7% of total)ival-neg: 3.0ms (6.5% of total)ival-add: 3.0ms (6.5% of total)ival->=: 1.0ms (2.2% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))> |
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (>= b 0)> |
#<alt (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (sqrt (- (* b b) (* (* 4 a) c)))> |
| Outputs |
|---|
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* (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 (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* -2 b)> |
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))> |
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -2 (/ (* a c) b))> |
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))> |
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))> |
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -2 b)> |
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))> |
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))> |
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))> |
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (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))))))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1.0ms | a | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | b | @ | 0 | (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | b | @ | inf | (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
| 1.0ms | b | @ | inf | (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1× | batch-egg-rewrite |
| 5 702× | accelerator-lowering-fma.f32 |
| 5 702× | accelerator-lowering-fma.f64 |
| 4 948× | *-lowering-*.f32 |
| 4 948× | *-lowering-*.f64 |
| 3 438× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 56 |
| 1 | 78 | 55 |
| 2 | 654 | 53 |
| 0 | 9614 | 49 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(>= b 0) |
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(sqrt (- (* b b) (* (* 4 a) c))) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))) |
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) |
(-.f64 (/.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 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 a a))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (+.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (/.f64 (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 a a)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))) |
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(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
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(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.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 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64)))) |
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(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))) |
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(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
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(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
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(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal -2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) (neg.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
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(*.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 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 (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.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 (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a c) (-.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 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (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 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (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 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (/.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 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
| 1× | egg-herbie |
| 12 470× | accelerator-lowering-fma.f32 |
| 12 470× | accelerator-lowering-fma.f64 |
| 7 850× | *-lowering-*.f32 |
| 7 850× | *-lowering-*.f64 |
| 3 744× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 625 | 3723 |
| 1 | 2006 | 3687 |
| 2 | 6613 | 3641 |
| 0 | 8345 | 3472 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* (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)))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (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)))))))) |
| 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+.f64 (*.f64 (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 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)))) |
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(+ (* 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))))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 (*.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)))) #s(literal 1/32 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (*.f64 b (+.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (*.f64 c c))) (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 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) 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 (*.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 #s(literal 1 binary64) (+.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 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (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 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 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 0 binary64) 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))))))) |
(* -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 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (+.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 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f64 b (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 (/.f64 c (*.f64 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 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 (/.f64 c (*.f64 b b)) b)))))))) |
(* (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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))))) |
(* 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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.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 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.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 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))) |
(* -2 (* (sqrt (* 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 c (*.f64 a (*.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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.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 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.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 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (-.f64 #s(literal 0 binary64) a)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64)))) |
(+ 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 #s(literal -2 binary64) (/.f64 a b)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))) (sqrt.f64 #s(literal -4 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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.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 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #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 (* c (+ (* 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 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c 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 b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c 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 (*.f64 (*.f64 b b) (*.f64 b b)) (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 (+.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 b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 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) c)) |
Compiled 54 989 to 3 381 computations (93.9% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 856 | 11 | 867 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 857 | 11 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| 66.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 45.9% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) | |
| ▶ | 61.2% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64))))) |
| 68.2% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) | |
| 73.5% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) | |
| 68.1% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)))) | |
| ▶ | 75.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 58.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 73.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 75.0% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| ▶ | 73.4% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 996 to 574 computations (42.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 128 | (/.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)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) |
| 16 164× | accelerator-lowering-fma.f32 |
| 16 164× | accelerator-lowering-fma.f64 |
| 3 464× | *-lowering-*.f32 |
| 3 464× | *-lowering-*.f64 |
| 1 856× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 894 |
| 1 | 121 | 863 |
| 2 | 300 | 857 |
| 3 | 647 | 856 |
| 4 | 1350 | 856 |
| 5 | 3855 | 856 |
| 0 | 8139 | 808 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(neg b) |
(* 2 a) |
2 |
a |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(/ -1/2 a) |
-1/2 |
a |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ (* b b) (* (* a c) -4)) |
(* b b) |
(* (* a c) -4) |
(* a c) |
c |
-4 |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
2 |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* (* 4 a) c) |
(* 4 a) |
4 |
(if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) |
1/2 |
(/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))) |
a |
(- b (sqrt (+ (* b b) (* (* a c) -4)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ (* b b) (* (* a c) -4)) |
(* b b) |
(* (* a c) -4) |
(* a c) |
c |
-4 |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
2 |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* (* 4 a) c) |
(* 4 a) |
4 |
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) |
1/2 |
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
-1 |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ (* b b) (* (* a c) -4)) |
(* b b) |
(* (* a c) -4) |
(* a c) |
a |
c |
-4 |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
2 |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* (* 4 a) c) |
(* 4 a) |
4 |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
a |
c |
(* 2 a) |
2 |
(/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))) |
(* 2 c) |
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)) |
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4) |
(+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) |
(* b (* b (* b b))) |
(* b (* b b)) |
(* (* 16 (* a c)) (* a c)) |
(* 16 (* a c)) |
16 |
(* a c) |
1/4 |
| Outputs |
|---|
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) b) (* 2 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- (neg b) b) |
(*.f64 b #s(literal -2 binary64)) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
2 |
#s(literal 2 binary64) |
a |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
-1/2 |
#s(literal -1/2 binary64) |
a |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 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) |
(* (* a c) -4) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a c) |
(*.f64 a c) |
c |
-4 |
#s(literal -4 binary64) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
2 |
#s(literal 2 binary64) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* (* 4 a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal -1/2 binary64)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal -1/2 binary64)) a) |
1/2 |
#s(literal 1/2 binary64) |
(/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))) |
(/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
a |
(- b (sqrt (+ (* b b) (* (* a c) -4)))) |
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 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) |
(* (* a c) -4) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a c) |
(*.f64 a c) |
c |
-4 |
#s(literal -4 binary64) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
2 |
#s(literal 2 binary64) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* (* 4 a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(-.f64 #s(literal 0 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
-1 |
#s(literal -1 binary64) |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 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) |
(* (* a c) -4) |
(*.f64 c (*.f64 a #s(literal -4 binary64))) |
(* a c) |
(*.f64 a c) |
a |
c |
-4 |
#s(literal -4 binary64) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
2 |
#s(literal 2 binary64) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* (* 4 a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) |
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
a |
c |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
2 |
#s(literal 2 binary64) |
(/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)) |
(-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b) |
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4) |
(pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) |
(+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) |
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) |
(* b (* b (* b b))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* b (* b b)) |
(*.f64 b (*.f64 b b)) |
(* (* 16 (* a c)) (* a c)) |
(*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) |
(* 16 (* a c)) |
(*.f64 (*.f64 a c) #s(literal 16 binary64)) |
16 |
#s(literal 16 binary64) |
(* a c) |
(*.f64 a c) |
1/4 |
#s(literal 1/4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 92.2% | (+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 76.3% | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 42.5% | (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 79.1% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 76.3% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 79.1% | (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| ✓ | accuracy | 79.1% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 79.1% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 76.3% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 98.7% | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| ✓ | accuracy | 95.9% | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| ✓ | accuracy | 79.1% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 66.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 166.0ms | 44× | 3 | valid |
| 86.0ms | 63× | 2 | valid |
| 47.0ms | 56× | 1 | valid |
| 46.0ms | 82× | 0 | valid |
| 22.0ms | 8× | 4 | exit |
| 13.0ms | 3× | 4 | valid |
Compiled 915 to 55 computations (94% saved)
ival-mult: 108.0ms (39.4% of total)ival-pow: 60.0ms (21.9% of total)ival-div: 29.0ms (10.6% of total)adjust: 20.0ms (7.3% of total)ival-if: 15.0ms (5.5% of total)ival-add: 14.0ms (5.1% of total)ival-sub: 11.0ms (4% of total)ival-sqrt: 10.0ms (3.6% of total)ival-neg: 4.0ms (1.5% of total)exact: 1.0ms (0.4% of total)ival->=: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (neg b) b) (* 2 a))> |
#<alt (- (neg b) b)> |
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (>= b 0)> |
#<alt (if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))> |
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4)))))> |
#<alt (if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))> |
#<alt (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))))> |
#<alt (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))> |
#<alt (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)> |
#<alt (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))> |
#<alt (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))> |
#<alt (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (sqrt (- (* b b) (* (* 4 a) c)))> |
#<alt (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))> |
#<alt (- (* b b) (* (* 4 a) c))> |
#<alt (sqrt (+ (* b b) (* (* a c) -4)))> |
#<alt (+ b (sqrt (+ (* b b) (* (* a c) -4))))> |
#<alt (- b (sqrt (+ (* b b) (* (* a c) -4))))> |
#<alt (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* (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 (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
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#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))> |
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#<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 (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -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)))))> |
#<alt (- (+ (* -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))))))> |
#<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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -4 (* a c))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (- (pow b 2) (* 4 (* a c)))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))> |
#<alt (pow b 2)> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (+ (* -4 (* a c)) (pow b 2))> |
#<alt (* -4 (* a c))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))> |
#<alt (* -4 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))> |
#<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 (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 b)> |
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -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 (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)> |
#<alt (* 2 b)> |
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))> |
#<alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))> |
#<alt (* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))> |
#<alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))> |
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 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 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* 2 (/ (* a c) b))> |
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))> |
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))> |
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 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 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* (pow 16 1/4) (sqrt (* a c)))> |
#<alt (+ (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 4)))) (* (pow 16 1/4) (sqrt (* a c))))> |
#<alt (+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))))> |
#<alt (+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/524288 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b 4)))))))))> |
#<alt b> |
#<alt (+ b (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))> |
#<alt (+ b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))))))> |
#<alt (+ b (+ (* -128 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 32/3 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (* 1024/3 (/ (* (pow a 6) (pow c 6)) (pow b 11)))))))))> |
#<alt (* -1 b)> |
#<alt (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* -1 b))> |
#<alt (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7)))))> |
#<alt (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (+ (* -1 (/ (+ (* -128 (* (pow a 6) (pow c 6))) (+ (* 32/3 (* (pow a 6) (pow c 6))) (* 1024/3 (* (pow a 6) (pow c 6))))) (pow b 11))) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7))))))> |
#<alt (* (pow 1 1/4) b)> |
#<alt (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))> |
#<alt (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8))))))))))> |
#<alt (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12)))))))))))))> |
#<alt (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))> |
#<alt (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))> |
#<alt (* (pow 1 1/4) b)> |
#<alt (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))> |
#<alt (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))> |
#<alt (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))))> |
#<alt (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))> |
#<alt (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))> |
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)) |
| 4.0ms | b | @ | 0 | (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4) |
| 3.0ms | b | @ | 0 | (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)) |
| 3.0ms | c | @ | inf | (- (* b b) (* (* 4 a) c)) |
| 3.0ms | c | @ | inf | (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)) |
| 1× | batch-egg-rewrite |
| 4 530× | /-lowering-/.f32 |
| 4 530× | /-lowering-/.f64 |
| 4 452× | *-lowering-*.f32 |
| 4 452× | *-lowering-*.f64 |
| 3 270× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 302 |
| 1 | 263 | 286 |
| 2 | 2378 | 284 |
| 0 | 8386 | 265 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(>= b 0) |
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) |
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) |
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) |
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)) |
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(- (* b b) (* (* 4 a) c)) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(- b (sqrt (+ (* b b) (* (* a c) -4)))) |
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4) |
| Outputs |
|---|
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 1 binary64) (/.f64 b a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 b b) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 b b) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) |
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(fma.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 2 binary64) a)) (*.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))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal 2 binary64)) (*.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))) |
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(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) a) |
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (+.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))))))))) |
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(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a)) |
(*.f64 (-.f64 b (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 #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 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) a) #s(literal 1/2 binary64)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (*.f64 b (*.f64 b b)) (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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (+.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 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b (*.f64 b b)) (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 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (+.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)))) |
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 a #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 (+.f64 (*.f64 b b) (+.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 #s(literal 2 binary64) a)) (/.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 (*.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 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (-.f64 (+.f64 (*.f64 b b) (+.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)))))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.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)))))))) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (+.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 (+.f64 (+.f64 (*.f64 b b) (+.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))))))) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 (*.f64 b b) (+.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 (+.f64 (*.f64 b b) (+.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 (-.f64 (*.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (*.f64 (+.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 b (sqrt.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 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (+.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 (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (+.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 (neg.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (*.f64 b b) (+.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)))))))))) |
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (+.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 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (+.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 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (+.f64 (*.f64 b (*.f64 b b)) (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 (*.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 (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (+.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.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 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) (/.f64 (-.f64 b (sqrt.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 b b) (+.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 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))))) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (+.f64 (+.f64 (*.f64 b b) (+.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))))))))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/8 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/8 binary64)))) |
(pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 4096 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 7 114× | *-lowering-*.f32 |
| 7 114× | *-lowering-*.f64 |
| 6 320× | accelerator-lowering-fma.f32 |
| 6 320× | accelerator-lowering-fma.f64 |
| 3 524× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1658 | 17878 |
| 1 | 5540 | 17266 |
| 0 | 8099 | 16479 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* (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)))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(* -1/2 (/ a b)) |
(/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b) |
(* -1/2 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* -1 (* b (+ (* -1 (/ (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ 1 c)) (/ (* (pow a 3) (pow c 2)) (pow b 6)))))))))) |
(* -1/2 (/ a b)) |
(* a (- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* a (- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* a (- (* a (+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1 (/ (pow c 2) (pow b 5))) (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -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)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -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))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1/2 (/ a b)) |
(+ (* -1/2 (/ a b)) (* -1/2 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1/2 (/ a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (pow a 3) (pow b 5))) (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))))) c) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* 1/4 b)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* (pow 16 1/4) (sqrt (* a c))) |
(+ (* -1 b) (* (pow 16 1/4) (sqrt (* a c)))) |
(+ (* b (- (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3)))) 1)) (* (pow 16 1/4) (sqrt (* a c)))) |
(+ (* b (- (* (pow b 3) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))) 1)) (* (pow 16 1/4) (sqrt (* a c)))) |
(* -1 b) |
0 |
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 8)))))) |
(* -1 b) |
(* -2 b) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* -1 b)) b))))) |
(* -1 (* b (+ 1 (* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 7)))))) b))))) |
(- (* (pow 1 1/4) b) b) |
(- (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) b) |
(- (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))))))) b) |
(- (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12))))))))))))) b) |
(- (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) b) |
(- (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) b) |
(- (* (pow 1 1/4) b) b) |
(- (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) b) |
(- (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))) b) |
(- (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))) b) |
(- (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) b) |
(- (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) b) |
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) b) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (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 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -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))))) |
(- (+ (* -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)))))) |
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 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 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 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 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (pow 16 1/4) (sqrt (* a c))) |
(+ (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 4)))) (* (pow 16 1/4) (sqrt (* a c)))) |
(+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3))))))))) |
(+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/524288 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b 4))))))))) |
b |
(+ b (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) |
(+ b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7)))))) |
(+ b (+ (* -128 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 32/3 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (* 1024/3 (/ (* (pow a 6) (pow c 6)) (pow b 11))))))))) |
(* -1 b) |
(+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* -1 b)) |
(+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7))))) |
(+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (+ (* -1 (/ (+ (* -128 (* (pow a 6) (pow c 6))) (+ (* 32/3 (* (pow a 6) (pow c 6))) (* 1024/3 (* (pow a 6) (pow c 6))))) (pow b 11))) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7)))))) |
(* (pow 1 1/4) b) |
(+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) |
(+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))))))) |
(+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12))))))))))))) |
(exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) |
(exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) |
(* (pow 1 1/4) b) |
(+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) |
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))) |
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))) |
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) |
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -2 b) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.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)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (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))))))) |
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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))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (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)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) 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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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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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(* 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)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 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 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (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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(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) 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)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.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 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (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 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 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 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.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 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/512 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)))))))) (neg.f64 c)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 (/.f64 a (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))))) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
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(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b a) #s(literal -4 binary64)))) |
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(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 c (+.f64 (/.f64 (*.f64 b b) c) (*.f64 a #s(literal -4 binary64)))) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c)) (*.f64 a #s(literal 4 binary64))) (neg.f64 c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.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))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))))) |
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)))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (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 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c 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 (*.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))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (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 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) 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 (*.f64 a (*.f64 c c)) (*.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 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal -1/8 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)))))))) |
(* 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 #s(literal -1/8 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 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 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 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (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)) |
(* -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 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 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 (+.f64 (+.f64 (*.f64 #s(literal -1/64 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)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (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)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+.f64 b (*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+.f64 b (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (+.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 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 c (+.f64 (+.f64 (*.f64 (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 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 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 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.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 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c))))))) (*.f64 #s(literal 1/512 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)))))))) (neg.f64 c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))))))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))))) |
(* 2 b) |
(*.f64 b #s(literal 2 binary64)) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b)))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* 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))))))) |
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b |
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(* (pow 1 1/4) b) |
b |
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(+.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))))) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal 7/524288 binary64)) (pow.f64 a #s(literal 6 binary64))))))) |
(* (pow 1 1/4) b) |
b |
(+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) |
(+.f64 b (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b (*.f64 b b))))) |
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))) |
(+.f64 b (*.f64 (*.f64 c c) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c c)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) #s(literal -24 binary64)))))) |
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))) |
(+.f64 b (*.f64 (*.f64 c c) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c c) (*.f64 b (+.f64 (*.f64 (*.f64 c c) (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) #s(literal 224 binary64))) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) #s(literal -24 binary64)))))))) |
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2))))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 7/524288 binary64)) (pow.f64 c #s(literal 6 binary64))))))) |
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) |
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))))) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64)))))) |
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) |
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 7/524288 binary64)) (pow.f64 c #s(literal 6 binary64))))))) |
Compiled 227 750 to 9 243 computations (95.9% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 093 | 19 | 4 112 |
| Fresh | 4 | 2 | 6 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 4 102 | 21 | 4 123 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.9% | (if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 66.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 61.2% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b))) | |
| 40.7% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) b))) | |
| 43.3% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))) b))) | |
| 43.2% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) b))) | |
| 41.5% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) b))) | |
| 68.2% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) | |
| 63.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) | |
| 35.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) | |
| ▶ | 56.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
| 69.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) | |
| 70.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| ▶ | 35.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
| 48.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) | |
| 73.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) | |
| 42.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| ▶ | 73.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c)))) |
| 73.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 73.3% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) | |
| ▶ | 53.6% | (if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 1 588 to 982 computations (38.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 321 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) a) b) |
| ✓ | cost-diff | 6656 | (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
| 18 214× | accelerator-lowering-fma.f32 |
| 18 214× | accelerator-lowering-fma.f64 |
| 3 778× | *-lowering-*.f32 |
| 3 778× | *-lowering-*.f64 |
| 1 986× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 656 |
| 1 | 124 | 581 |
| 2 | 269 | 552 |
| 3 | 639 | 552 |
| 4 | 1542 | 552 |
| 5 | 4543 | 552 |
| 0 | 8300 | 529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) |
-1/2 |
(* (/ 1 a) b) |
(/ 1 a) |
1 |
a |
(/ b (/ a -1/2)) |
(/ a -1/2) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
2 |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(neg b) |
(* 2 a) |
2 |
a |
(- 0 (/ b a)) |
(/ b a) |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(neg b) |
(* 2 a) |
2 |
a |
(/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4)))) |
(* 2 c) |
c |
(+ (neg b) (sqrt (* (* a c) -4))) |
(sqrt (* (* a c) -4)) |
(* (* a c) -4) |
(* a c) |
-4 |
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))) |
(>= b 0) |
b |
0 |
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) |
1/2 |
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
-1 |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ (* b b) (* (* a c) -4)) |
(* b b) |
(* (* a c) -4) |
(* a c) |
a |
c |
-4 |
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))) |
1 |
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(+ (* b b) (* a (* c -4))) |
(* a (* c -4)) |
(* c -4) |
(* 2 c) |
2 |
(if (>= b 0) (exp (* (log (* (/ a b) -1)) -1)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(exp (* (log (* (/ a b) -1)) -1)) |
(* (log (* (/ a b) -1)) -1) |
(log (* (/ a b) -1)) |
(* (/ a b) -1) |
(/ a b) |
a |
-1 |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
2 |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
| Outputs |
|---|
(if (>= b 0) (+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ 1 a) b) |
(/.f64 b a) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
a |
(/ b (/ a -1/2)) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/ a -1/2) |
(/.f64 a #s(literal -1/2 binary64)) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
2 |
#s(literal 2 binary64) |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a))) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) b) (* 2 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- (neg b) b) |
(*.f64 b #s(literal -2 binary64)) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
a |
(- 0 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) b) (* 2 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- (neg b) b) |
(*.f64 b #s(literal -2 binary64)) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
a |
(/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4)))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
c |
(+ (neg b) (sqrt (* (* a c) -4))) |
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(sqrt (* (* a c) -4)) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* (* a c) -4) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* a c) |
(*.f64 a c) |
-4 |
#s(literal -4 binary64) |
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) |
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(/.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
-1 |
#s(literal -1 binary64) |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* (* a c) -4)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* a c) -4) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* a c) |
(*.f64 a c) |
a |
c |
-4 |
#s(literal -4 binary64) |
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
1 |
#s(literal 1 binary64) |
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)) |
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c)) |
(- (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)))) |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
2 |
#s(literal 2 binary64) |
(if (>= b 0) (exp (* (log (* (/ a b) -1)) -1)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(exp (* (log (* (/ a b) -1)) -1)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* (log (* (/ a b) -1)) -1) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)))) |
(log (* (/ a b) -1)) |
(log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))) |
(* (/ a b) -1) |
(/.f64 a (-.f64 #s(literal 0 binary64) b)) |
(/ a b) |
(/.f64 a b) |
a |
-1 |
#s(literal -1 binary64) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 #s(literal 2 binary64) c) |
2 |
#s(literal 2 binary64) |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.0% | (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) |
| ✓ | accuracy | 96.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 91.6% | (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) |
| ✓ | accuracy | 89.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 96.5% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
| ✓ | accuracy | 93.6% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| ✓ | accuracy | 89.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
| ✓ | accuracy | 89.8% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| ✓ | accuracy | 98.9% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 94.5% | (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (/.f64 b a)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) a) |
| ✓ | accuracy | 100.0% | (neg.f64 b) |
| ✓ | accuracy | 98.9% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| ✓ | accuracy | 98.9% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 96.5% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 89.8% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 127.0ms | 173× | 0 | invalid |
| 21.0ms | 18× | 2 | valid |
| 21.0ms | 44× | 0 | valid |
| 15.0ms | 17× | 1 | valid |
| 5.0ms | 4× | 3 | valid |
Compiled 632 to 62 computations (90.2% saved)
ival-div: 50.0ms (34% of total)ival-exp: 34.0ms (23.1% of total)ival-mult: 23.0ms (15.6% of total)ival-add: 8.0ms (5.4% of total)ival-sqrt: 8.0ms (5.4% of total)ival-sub: 6.0ms (4.1% of total)ival-if: 6.0ms (4.1% of total)adjust: 5.0ms (3.4% of total)ival-log: 3.0ms (2% of total)ival-neg: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival->=: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2)))> |
#<alt (* (/ 1 a) b)> |
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (>= b 0)> |
#<alt (if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a)))> |
#<alt (/ (- (neg b) b) (* 2 a))> |
#<alt (- (neg b) b)> |
#<alt (+ (neg b) (sqrt (* (* a c) -4)))> |
#<alt (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))> |
#<alt (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))> |
#<alt (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)> |
#<alt (exp (* (log (* (/ a b) -1)) -1))> |
#<alt (* (log (* (/ a b) -1)) -1)> |
#<alt (sqrt (- (* b b) (* (* 4 a) c)))> |
#<alt (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))> |
#<alt (neg b)> |
#<alt (* 2 a)> |
#<alt (- 0 (/ b a))> |
#<alt (sqrt (* (* a c) -4))> |
#<alt (/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))> |
#<alt (sqrt (+ (* b b) (* a (* c -4))))> |
#<alt (sqrt (+ (* b b) (* (* a c) -4)))> |
#<alt (+ b (sqrt (+ (* b b) (* (* a c) -4))))> |
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)> |
#<alt (log (* (/ a b) -1))> |
| Outputs |
|---|
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
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#<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> |
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#<alt b> |
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#<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))))))))> |
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#<alt (* 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 (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ (+ (* -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 (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))> |
#<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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* 2 b)> |
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))> |
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))> |
#<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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ 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 (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))> |
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))> |
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))> |
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))> |
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))> |
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))> |
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))> |
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))> |
#<alt (+ (log (* -1 a)) (* -1 (log b)))> |
#<alt (+ (log (* -1 a)) (* -1 (log b)))> |
#<alt (+ (log (* -1 a)) (* -1 (log b)))> |
#<alt (+ (log (* -1 a)) (* -1 (log b)))> |
#<alt (+ (log (* -1 a)) (log (/ 1 b)))> |
#<alt (+ (log (* -1 a)) (log (/ 1 b)))> |
#<alt (+ (log (* -1 a)) (log (/ 1 b)))> |
#<alt (+ (log (* -1 a)) (log (/ 1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
#<alt (+ (log a) (log (/ -1 b)))> |
174 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | a | @ | 0 | (* (log (* (/ a b) -1)) -1) |
| 35.0ms | a | @ | -inf | (* (log (* (/ a b) -1)) -1) |
| 20.0ms | b | @ | 0 | (* (log (* (/ a b) -1)) -1) |
| 15.0ms | b | @ | -inf | (* (log (* (/ a b) -1)) -1) |
| 13.0ms | b | @ | 0 | (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))) |
| 1× | batch-egg-rewrite |
| 1 546× | accelerator-lowering-fma.f32 |
| 1 546× | accelerator-lowering-fma.f64 |
| 1 270× | *-lowering-*.f32 |
| 1 270× | *-lowering-*.f64 |
| 1 160× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 255 |
| 1 | 325 | 200 |
| 0 | 2632 | 180 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) |
(* (/ 1 a) b) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(>= b 0) |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a))) |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(+ (neg b) (sqrt (* (* a c) -4))) |
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) |
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))) |
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(exp (* (log (* (/ a b) -1)) -1)) |
(* (log (* (/ a b) -1)) -1) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(neg b) |
(* 2 a) |
(- 0 (/ b a)) |
(sqrt (* (* a c) -4)) |
(/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4)))) |
(sqrt (+ (* b b) (* a (* c -4)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(- (sqrt (+ (* b b) (* a (* c -4)))) b) |
(log (* (/ a b) -1)) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 a (/.f64 #s(literal 2 binary64) (*.f64 b #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 a (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64)) |
(fma.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b b) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64)))) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(neg.f64 (/.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
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(*.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 0 binary64) b)) |
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
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(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64))) |
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(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
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(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64))) |
(hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(hypot.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) b)) |
(hypot.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) (pow.f64 b #s(literal 1 binary64))) |
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(pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/2 binary64)) |
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(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
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(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.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))))) (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (*.f64 b b) (+.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 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 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 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.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 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.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 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (*.f64 b b) (+.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))))))) |
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) |
(+.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))) (-.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 7 340× | *-lowering-*.f32 |
| 7 340× | *-lowering-*.f64 |
| 7 216× | accelerator-lowering-fma.f32 |
| 7 216× | accelerator-lowering-fma.f64 |
| 4 894× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1208 | 12913 |
| 1 | 3984 | 12465 |
| 0 | 8056 | 11998 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(/ 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) |
(* (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)))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* -2 b) |
(* (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)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(- (* (sqrt (* a c)) (sqrt -4)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -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))))) |
(- (+ (* -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)))))) |
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(* -1/2 (/ a b)) |
(/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b) |
(/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b) |
(* -1/2 (/ b c)) |
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))) |
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))) |
(* -1 (* b (+ (* -1 (/ (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ 1 c)) (/ (* (pow a 3) (pow c 2)) (pow b 6)))))))))) |
(* -1/2 (/ a b)) |
(* a (- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* a (- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* a (- (* a (+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1 (/ (pow c 2) (pow b 5))) (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7))))))))) (* 1/2 (/ 1 b)))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -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)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -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))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1/2 (/ a b)) |
(+ (* -1/2 (/ a b)) (* -1/2 (/ (* (pow a 2) c) (pow b 3)))) |
(+ (* -1/2 (/ a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 3)))))) |
(+ (* -1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (pow a 3) (pow b 5))) (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))))) c) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* 1/4 b)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ 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 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))) |
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))) |
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))) |
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))) |
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))) |
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))) |
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))) |
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))) |
(* -1 (+ (log (* -1 a)) (* -1 (log b)))) |
(* -1 (+ (log (* -1 a)) (* -1 (log b)))) |
(* -1 (+ (log (* -1 a)) (* -1 (log b)))) |
(* -1 (+ (log (* -1 a)) (* -1 (log b)))) |
(* -1 (+ (log (* -1 a)) (log (/ 1 b)))) |
(* -1 (+ (log (* -1 a)) (log (/ 1 b)))) |
(* -1 (+ (log (* -1 a)) (log (/ 1 b)))) |
(* -1 (+ (log (* -1 a)) (log (/ 1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* -1 (+ (log a) (log (/ -1 b)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -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))))) |
(- (+ (* -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)))))) |
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* -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)) |
(* (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))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -2 (/ c b)) |
(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b) |
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b) |
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b) |
(* -2 (/ c b)) |
(* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b)) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) 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)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ 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)))))) |
(+ (log a) (log (/ -1 b))) |
(+ (log a) (log (/ -1 b))) |
(+ (log a) (log (/ -1 b))) |
(+ (log a) (log (/ -1 b))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(+ (log (* -1 a)) (* -1 (log b))) |
(+ (log (* -1 a)) (* -1 (log b))) |
(+ (log (* -1 a)) (* -1 (log b))) |
(+ (log (* -1 a)) (* -1 (log b))) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(+ (log a) (log (/ -1 b))) |
(+ (log a) (log (/ -1 b))) |
(+ (log a) (log (/ -1 b))) |
(+ (log a) (log (/ -1 b))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(* -1 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))))) #s(literal -1 binary64)))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) 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) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* -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)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
(* 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)))))))) |
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 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))) |
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) a)) (-.f64 #s(literal 0 binary64) 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)))))) |
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(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ 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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ 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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 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 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
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(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
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(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
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(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) 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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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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 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 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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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #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 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b 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 (*.f64 (*.f64 a c) #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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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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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(* 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)))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -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))))))) |
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(* -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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b |
(+ b (* -2 (/ (* a c) b))) |
(+.f64 b (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) 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 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
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(* 2 (/ (* a c) b)) |
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(* 2 b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
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(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) 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) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b)))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* -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)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b)))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))))))) |
(* 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)))))))) |
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 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))) |
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) a)) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) b) a)))) |
(* -2 (/ (* a c) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 a b)))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))))))) |
(* 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)))))))) |
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 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))) |
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) c)) (neg.f64 c)) |
(* -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)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c)))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log (/ -1 b)) (* -1 (log (/ 1 a)))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(+ (log (/ 1 b)) (* -1 (log (/ -1 a)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(+ (log (* -1 a)) (* -1 (log b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (* -1 (log b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (* -1 (log b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (* -1 (log b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log (* -1 a)) (log (/ 1 b))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
(+ (log a) (log (/ -1 b))) |
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b))) |
Compiled 76 669 to 4 200 computations (94.5% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 120 | 14 | 2 134 |
| Fresh | 7 | 9 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 130 | 25 | 2 155 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.5% | (if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 13.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| 66.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 40.7% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) b))) | |
| 41.5% | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) b))) | |
| ▶ | 63.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
| 56.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 46.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))) | |
| 69.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) | |
| 56.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64))))) | |
| 35.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) | |
| 70.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 55.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) | |
| ▶ | 56.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
| 23.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) | |
| 11.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| ▶ | 73.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) |
| ✓ | 73.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c)))) |
| 73.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 73.3% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) | |
| 35.3% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| 3.2% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| 53.4% | (if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| ✓ | 53.6% | (if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 35.4% | (-.f64 #s(literal 0 binary64) (/.f64 b a)) |
Compiled 1 564 to 963 computations (38.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
| ✓ | cost-diff | 6400 | (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) a) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 b) b) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | cost-diff | 0 | (/.f64 b a) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (/.f64 b a)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) |
| ✓ | cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) |
| 13 336× | accelerator-lowering-fma.f32 |
| 13 336× | accelerator-lowering-fma.f64 |
| 4 106× | *-lowering-*.f32 |
| 4 106× | *-lowering-*.f64 |
| 1 858× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 489 |
| 1 | 124 | 474 |
| 2 | 270 | 462 |
| 3 | 529 | 462 |
| 4 | 1257 | 462 |
| 5 | 4571 | 460 |
| 0 | 8339 | 445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b))) |
(>= b 0) |
b |
0 |
(/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
-1/2 |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ (* b b) (* (* a c) -4)) |
(* b b) |
(* (* a c) -4) |
(* a c) |
a |
c |
-4 |
(/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)) |
(* 2 c) |
2 |
(- (sqrt (+ (* b b) (* (* a c) -4))) b) |
(- 0 (/ b a)) |
0 |
(/ b a) |
b |
a |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(neg b) |
(* 2 a) |
2 |
a |
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
(+ c (/ (* a (* c c)) (* b b))) |
c |
(/ (* a (* c c)) (* b b)) |
(* a (* c c)) |
(* c c) |
(* b b) |
(- 0 b) |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (* c (/ 2 (- (sqrt (* a (* c -4))) b)))) |
(>= b 0) |
b |
0 |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(neg b) |
(* 2 a) |
2 |
a |
(* c (/ 2 (- (sqrt (* a (* c -4))) b))) |
c |
(/ 2 (- (sqrt (* a (* c -4))) b)) |
(- (sqrt (* a (* c -4))) b) |
(sqrt (* a (* c -4))) |
(* a (* c -4)) |
(* c -4) |
-4 |
(if (>= b 0) (+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(>= b 0) |
b |
0 |
(+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) |
-1/2 |
(/ (/ 1 b) (/ 1 a)) |
(/ 1 b) |
1 |
(/ 1 a) |
a |
(/ b (/ a -1/2)) |
(/ a -1/2) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(* 2 c) |
2 |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(neg b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(- (* b b) (* (* 4 a) c)) |
(* b b) |
(* (* 4 a) c) |
(* 4 a) |
4 |
| Outputs |
|---|
(if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) |
(* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
-1/2 |
#s(literal -1/2 binary64) |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(+ (* b b) (* (* a c) -4)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* a c) -4) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* a c) |
(*.f64 a c) |
a |
c |
-4 |
#s(literal -4 binary64) |
(/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#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) |
(- 0 (/ b a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
0 |
#s(literal 0 binary64) |
(/ b a) |
(/.f64 b a) |
b |
a |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c (-.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b (/.f64 b a))))) b)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) b) (* 2 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- (neg b) b) |
(*.f64 b #s(literal -2 binary64)) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(* 2 a) |
(/.f64 a #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
a |
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
(/.f64 (*.f64 c (-.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b (/.f64 b a))))) b) |
(+ c (/ (* a (* c c)) (* b b))) |
(*.f64 c (+.f64 (/.f64 c (*.f64 b (/.f64 b a))) #s(literal 1 binary64))) |
c |
(/ (* a (* c c)) (* b b)) |
(/.f64 (*.f64 c c) (*.f64 b (/.f64 b a))) |
(* a (* c c)) |
(*.f64 a (*.f64 c c)) |
(* c c) |
(*.f64 c c) |
(* b b) |
(*.f64 b b) |
(- 0 b) |
(-.f64 #s(literal 0 binary64) b) |
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (* c (/ 2 (- (sqrt (* a (* c -4))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(/ (- (neg b) b) (* 2 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(- (neg b) b) |
(*.f64 b #s(literal -2 binary64)) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(* 2 a) |
(/.f64 a #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
a |
(* c (/ 2 (- (sqrt (* a (* c -4))) b))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
c |
(/ 2 (- (sqrt (* a (* c -4))) b)) |
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)) |
(- (sqrt (* a (* c -4))) b) |
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) |
(sqrt (* a (* c -4))) |
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* a (* c -4)) |
(*.f64 a (*.f64 c #s(literal -4 binary64))) |
(* c -4) |
(*.f64 c #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(if (>= b 0) (+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
b |
0 |
#s(literal 0 binary64) |
(+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (/.f64 a b))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (/ 1 b) (/ 1 a)) |
(/.f64 a b) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
1 |
#s(literal 1 binary64) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
a |
(/ b (/ a -1/2)) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/ a -1/2) |
(/.f64 a #s(literal -1/2 binary64)) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)) |
(* 2 c) |
(*.f64 c #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
c |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) |
(neg b) |
(-.f64 #s(literal 0 binary64) b) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) |
(- (* b b) (* (* 4 a) c)) |
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
(* b b) |
(*.f64 b b) |
(* (* 4 a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 98.2% | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| ✓ | accuracy | 90.9% | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| ✓ | accuracy | 80.3% | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| ✓ | accuracy | 99.7% | (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | accuracy | 99.4% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 87.2% | (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.4% | (>=.f64 b #s(literal 0 binary64)) |
| ✓ | accuracy | 98.9% | (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)) |
| ✓ | accuracy | 91.5% | (*.f64 a (*.f64 c c)) |
| ✓ | accuracy | 88.9% | (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 b a) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (/.f64 b a)) |
| ✓ | accuracy | 97.6% | (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) |
| ✓ | accuracy | 90.9% | (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) |
| ✓ | accuracy | 86.6% | (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
| ✓ | accuracy | 80.3% | (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
| 42.0ms | 38× | 2 | valid |
| 38.0ms | 95× | 0 | invalid |
| 31.0ms | 81× | 0 | valid |
| 27.0ms | 38× | 1 | valid |
| 5.0ms | 4× | 3 | valid |
Compiled 503 to 58 computations (88.5% saved)
ival-div: 27.0ms (28.1% of total)ival-mult: 26.0ms (27.1% of total)ival-sub: 11.0ms (11.4% of total)ival-add: 8.0ms (8.3% of total)ival-sqrt: 8.0ms (8.3% of total)adjust: 7.0ms (7.3% of total)ival-if: 6.0ms (6.2% of total)ival-neg: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival->=: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)))> |
#<alt (>= b 0)> |
#<alt (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)> |
#<alt (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))> |
#<alt (- 0 (/ b a))> |
#<alt (/ b a)> |
#<alt (/ (- (neg b) b) (* 2 a))> |
#<alt (- (neg b) b)> |
#<alt (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))> |
#<alt (* 2 a)> |
#<alt (+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2)))> |
#<alt (/ (/ 1 b) (/ 1 a))> |
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))> |
#<alt (sqrt (+ (* b b) (* (* a c) -4)))> |
#<alt (+ b (sqrt (+ (* b b) (* (* a c) -4))))> |
#<alt (- (sqrt (+ (* b b) (* (* a c) -4))) b)> |
#<alt (/ (* a (* c c)) (* b b))> |
#<alt (* a (* c c))> |
#<alt (sqrt (* a (* c -4)))> |
#<alt (* c (/ 2 (- (sqrt (* a (* c -4))) b)))> |
#<alt (sqrt (- (* b b) (* (* 4 a) c)))> |
#<alt (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))> |
| Outputs |
|---|
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (>= b 0)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))> |
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))> |
#<alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))> |
#<alt (* -1 b)> |
#<alt (* b (- (/ (* a c) (pow b 2)) 1))> |
#<alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))> |
#<alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))> |
#<alt (* -1 (/ (* a c) b))> |
#<alt (* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))> |
#<alt (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))> |
#<alt (* 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)))))))> |
#<alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))> |
#<alt (* -1 (* 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)))))> |
#<alt (* -1 b)> |
#<alt (+ (* -1 b) (/ (* a c) b))> |
#<alt (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))> |
#<alt (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))> |
#<alt (* -1/2 (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))> |
#<alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)))))> |
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c)))))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (/ b a)> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -1 (/ b a))> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -2 b)> |
#<alt (* -1 (/ c b))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))> |
#<alt (* -1 (/ c b))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))> |
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))> |
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))> |
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))> |
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))> |
#<alt (* -1 (/ c b))> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* 2 a)> |
#<alt (* -1/2 (/ a b))> |
#<alt (/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b)> |
#<alt (/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b)> |
#<alt (/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b)> |
#<alt (* -1/2 (/ b a))> |
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#<alt (/ a b)> |
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#<alt (* (sqrt (* a c)) (sqrt -4))> |
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#<alt (/ (* a (pow c 2)) (pow b 2))> |
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#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (/ (* a (pow c 2)) (pow b 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* a (pow c 2))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))))> |
#<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 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -2 (/ c b))> |
#<alt (/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)> |
#<alt (/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b)> |
#<alt (/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b)> |
#<alt (* -2 (/ c b))> |
#<alt (* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))> |
#<alt b> |
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))> |
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))> |
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 b)> |
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))> |
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))> |
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))> |
#<alt b> |
#<alt (+ b (* -2 (/ (* a c) b)))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))> |
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -4))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))> |
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))> |
#<alt (* -1 (/ b a))> |
#<alt (+ (* -1 (/ b a)) (/ c b))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))> |
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (- (+ (* -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)))))> |
#<alt (- (+ (* -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))))))> |
#<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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))> |
#<alt (* -1 (/ b a))> |
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))> |
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))> |
#<alt (* -1 (/ c b))> |
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))> |
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))> |
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))> |
#<alt (* -1 (/ b a))> |
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)> |
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)> |
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))> |
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)> |
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
| 1.0ms | c | @ | 0 | (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
| 1.0ms | b | @ | 0 | (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
| 1.0ms | a | @ | inf | (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
| 1.0ms | c | @ | inf | (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
| 1× | batch-egg-rewrite |
| 3 232× | /-lowering-/.f32 |
| 3 232× | /-lowering-/.f64 |
| 2 904× | *-lowering-*.f32 |
| 2 904× | *-lowering-*.f64 |
| 2 852× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 240 |
| 1 | 330 | 220 |
| 2 | 3103 | 205 |
| 0 | 8802 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b))) |
(>= b 0) |
(/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) |
(* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) |
(- 0 (/ b a)) |
(/ b a) |
(/ (- (neg b) b) (* 2 a)) |
(- (neg b) b) |
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)) |
(* 2 a) |
(+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) |
(/ (/ 1 b) (/ 1 a)) |
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
(sqrt (+ (* b b) (* (* a c) -4))) |
(+ b (sqrt (+ (* b b) (* (* a c) -4)))) |
(- (sqrt (+ (* b b) (* (* a c) -4))) b) |
(/ (* a (* c c)) (* b b)) |
(* a (* c c)) |
(sqrt (* a (* c -4))) |
(* c (/ 2 (- (sqrt (* a (* c -4))) b))) |
(sqrt (- (* b b) (* (* 4 a) c))) |
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(>=.f64 b #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(pow.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) a) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(+.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 b #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(fma.f64 b #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b #s(literal -1/2 binary64))) |
(fma.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1/2 binary64) (*.f64 b #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 2 binary64))) (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 b #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 b #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+.f64 (/.f64 b a) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (*.f64 (log.f64 b) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b (*.f64 a (/.f64 a b)))) (/.f64 b a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b a)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 b a)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) (neg.f64 (-.f64 #s(literal 0 binary64) a))) (/.f64 b a)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) a)) (/.f64 b a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) (/.f64 b a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (/.f64 b a)) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) b #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) b #s(literal 0 binary64)) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
(/.f64 b (-.f64 #s(literal 0 binary64) a)) |
(/.f64 b (neg.f64 (-.f64 #s(literal 0 binary64) a))) |
(/.f64 b (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)))) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b (*.f64 b b)) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) |
(/.f64 (*.f64 b (*.f64 b b)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b)))) |
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 b (*.f64 a (/.f64 a b)))) |
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 0 binary64))))) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) b)) |
(pow.f64 (/.f64 b a) #s(literal 1 binary64)) |
(pow.f64 (/.f64 a b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal 1 binary64) a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 b a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(*.f64 #s(literal -1 binary64) (/.f64 b a)) |
(*.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 a b) (/.f64 a b))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) b) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) b) |
(+.f64 #s(literal 0 binary64) (/.f64 b a)) |
(+.f64 (/.f64 b a) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b a)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) a) (/.f64 b a)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 b b))) (/.f64 b a)) |
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) #s(literal 0 binary64)) |
(fma.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
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(fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) #s(literal 0 binary64)) |
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(fma.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b) #s(literal 0 binary64)) |
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(/.f64 (*.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) #s(literal 1 binary64)) b) |
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(/.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64)) b) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (neg.f64 c)))) b) |
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(pow.f64 (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)) |
(*.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (neg.f64 c)) (/.f64 #s(literal 1 binary64) b)) |
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(*.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 b b)) b) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64)) |
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(*.f64 #s(literal 2 binary64) a) |
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(fma.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 a b) #s(literal -1/2 binary64) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) b) a (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) a (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a) (/.f64 b (/.f64 a #s(literal 1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a))) (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64))))) |
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(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 a (*.f64 b #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a)))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (/.f64 b a) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) b))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) |
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a #s(literal 1/2 binary64)))) |
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(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 a (*.f64 b #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (neg.f64 (+.f64 (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 a (*.f64 b #s(literal -1/2 binary64))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (+.f64 (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) a))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 b a) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (neg.f64 (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 b a) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) b)))) (neg.f64 (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)))) (neg.f64 (*.f64 (/.f64 a (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 a (*.f64 b #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64))))) (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 a (*.f64 b #s(literal -1/2 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a))) (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (/.f64 a b))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b a))) |
(*.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 b (/.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 a (*.f64 b #s(literal -1/2 binary64))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1/4 binary64)) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 a b) (/.f64 b a))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)) (*.f64 (log.f64 a) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 a b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) a)) (/.f64 a b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 a b)) |
(neg.f64 (/.f64 a b)) |
(/.f64 a b) |
(/.f64 #s(literal 1 binary64) (/.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b a) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) a) b) |
(/.f64 (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 (/.f64 a b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) b) |
(pow.f64 (/.f64 b a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) b)) |
(*.f64 #s(literal 1 binary64) (/.f64 a b)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) a) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 #s(literal -1 binary64) (/.f64 a b)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) |
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 0 binary64)) b) |
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(-.f64 (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(-.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 0 binary64)) b) |
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 b (*.f64 b b)) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
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(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
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(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
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(fma.f64 (sqrt.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)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1/2 binary64)) b) |
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(/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
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(/.f64 (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(hypot.f64 b (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(hypot.f64 b (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)))) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)) b) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (exp.f64 (log.f64 b))) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1/2 binary64)) b) |
(hypot.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (exp.f64 (log.f64 b))) |
(hypot.f64 (exp.f64 (log.f64 b)) (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))) |
(hypot.f64 (exp.f64 (log.f64 b)) (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(hypot.f64 (exp.f64 (log.f64 b)) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)))) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64))) b) |
(hypot.f64 (sqrt.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64))) (exp.f64 (log.f64 b))) |
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(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
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(/.f64 (sqrt.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)))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
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(/.f64 (sqrt.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)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.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)))))) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 (*.f64 a c) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.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))))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.f64 (neg.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))))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (sqrt.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))))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.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))))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 16 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 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 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 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 (*.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)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.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)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.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)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.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 (*.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)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(neg.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(neg.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 c #s(literal -2 binary64))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal -2 binary64)))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 c (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(*.f64 c (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 #s(literal 2 binary64) (/.f64 c (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
| 1× | egg-herbie |
| 9 176× | accelerator-lowering-fma.f32 |
| 9 176× | accelerator-lowering-fma.f64 |
| 6 626× | *-lowering-*.f32 |
| 6 626× | *-lowering-*.f64 |
| 6 398× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1093 | 11721 |
| 1 | 3584 | 11474 |
| 0 | 8153 | 10991 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4)))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2))) |
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2))) |
(* -1 b) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1)) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)) |
(* -1 (/ (* a c) b)) |
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) |
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))) |
(* 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))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* 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 b) |
(+ (* -1 b) (/ (* a c) b)) |
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) |
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) |
(* -1/2 (* (sqrt (* a c)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* 1/2 (/ b c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 b)) c))))) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ b a)) |
(* -1 (/ 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)) |
(/ 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 (/ 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)) |
(* -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)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* 2 a) |
(* -1/2 (/ a b)) |
(/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b) |
(/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b) |
(/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b) |
(* -1/2 (/ b a)) |
(* b (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) |
(* b (- (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* -1/2 (/ (pow a 2) b))) a) |
(/ (+ (* -1/2 b) (* -1/2 (/ (pow a 2) b))) a) |
(/ (+ (* -1/2 b) (* -1/2 (/ (pow a 2) b))) a) |
(* -1/2 (/ a b)) |
(* a (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) |
(* a (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) |
(* a (- (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ a b)) |
(* -1 (* a (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))))) |
(* -1 (* a (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 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) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 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 (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* 2 (* (sqrt (/ 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)))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* a (pow c 2)) |
(* (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))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -2 (/ c b)) |
(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b) |
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b) |
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b) |
(* -2 (/ c b)) |
(* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -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))))) |
(- (+ (* -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)))))) |
(* -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 (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
| Outputs |
|---|
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
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(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
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(* -1 b) |
(-.f64 #s(literal 0 binary64) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
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(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
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(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
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(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b) |
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(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b) |
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(* -2 (/ c b)) |
(/.f64 (*.f64 c #s(literal -2 binary64)) b) |
(* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(+ (* 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 a c) #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)))))) |
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(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
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(+ 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 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #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)))))) |
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b |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/2 binary64))) (*.f64 a a))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/2 binary64)) (*.f64 a a)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a a) c) (/.f64 (*.f64 b (*.f64 b b)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64))) a)) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 b b)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64)))))) a)) a)) a)) (neg.f64 a)) |
Compiled 58 932 to 3 966 computations (93.3% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 492 | 26 | 1 518 |
| Fresh | 8 | 10 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 503 | 40 | 1 543 |
| Status | Accuracy | Program |
|---|---|---|
| 15.5% | (if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) | |
| 13.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| 68.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) | |
| 56.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) | |
| 56.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64))))) | |
| 63.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) | |
| 62.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) | |
| 70.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) | |
| 53.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 b (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))))) | |
| 46.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b)))) | |
| 45.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)))) | |
| ✓ | 56.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
| 63.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) | |
| 23.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) | |
| 11.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| 66.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) | |
| ✓ | 73.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) |
| ✓ | 73.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c)))) |
| 73.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) | |
| 73.3% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) | |
| 3.2% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) | |
| 53.4% | (if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| ✓ | 53.6% | (if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 2.2% | (/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) | |
| 2.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) | |
| 35.3% | (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) | |
| 22.3% | (/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) | |
| 2.1% | (/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) | |
| 35.4% | (/.f64 b (neg.f64 a)) | |
| 2.5% | (/.f64 b a) | |
| 2.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) | |
| 2.5% | (/.f64 #s(literal 1 binary64) (/.f64 a b)) | |
| 35.3% | (/.f64 #s(literal -1 binary64) (/.f64 a b)) | |
| 12.8% | (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) | |
| 13.6% | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) | |
| 19.1% | (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (*.f64 (log.f64 b) #s(literal -1 binary64))))) | |
| 2.1% | (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) | |
| 2.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) b) | |
| 35.3% | (*.f64 b (/.f64 #s(literal -1 binary64) a)) | |
| 4.9% | (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) |
Compiled 2 856 to 904 computations (68.3% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 b (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))) |
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))) |
(-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (*.f64 (log.f64 b) #s(literal -1 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) b))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))) b))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) b))) |
(if (>=.f64 b #s(literal 0 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 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) |
(/.f64 b (neg.f64 a)) |
4 calls:
| 20.0ms | c |
| 19.0ms | b |
| 18.0ms | a |
| 18.0ms | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 2 | a |
| 92.9% | 3 | b |
| 77.2% | 2 | c |
| 92.9% | 5 | (if (>=.f64 b #s(literal 0 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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 53 to 29 computations (45.3% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 11.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) |
(/.f64 b (neg.f64 a)) |
1 calls:
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 3 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 2 | b |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.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 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
3 calls:
| 10.0ms | a |
| 9.0ms | c |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 1 | c |
| 70.0% | 1 | a |
| 70.0% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 b a) |
(/.f64 b (neg.f64 a)) |
(*.f64 b (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) b) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a b)) |
(/.f64 #s(literal 1 binary64) (/.f64 a b)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b)) |
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)) |
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a)) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) |
| Outputs |
|---|
(/.f64 b (neg.f64 a)) |
3 calls:
| 8.0ms | b |
| 6.0ms | a |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.4% | 1 | a |
| 35.4% | 1 | b |
| 35.4% | 1 | c |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 b a) |
| Outputs |
|---|
(/.f64 b a) |
3 calls:
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.5% | 1 | c |
| 2.5% | 1 | a |
| 2.5% | 1 | b |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 9.727360380364054e+136 | 7.764157197757278e+141 |
| 17.0ms | -9.31512872727779e+170 | -5.729970198960289e+168 |
| 14.0ms | 128× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 519 to 298 computations (42.6% saved)
ival-mult: 5.0ms (45.6% of total)ival-div: 2.0ms (18.2% of total)ival-add: 1.0ms (9.1% of total)ival-if: 1.0ms (9.1% of total)ival-sub: 1.0ms (9.1% of total)ival-sqrt: 1.0ms (9.1% of total)ival-neg: 1.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 9.727360380364054e+136 | 7.764157197757278e+141 |
| 16.0ms | -9.31512872727779e+170 | -5.729970198960289e+168 |
| 26.0ms | 256× | 0 | valid |
| 0.0ms | 5× | 0 | invalid |
Compiled 903 to 514 computations (43.1% saved)
ival-mult: 7.0ms (36.8% of total)ival-div: 3.0ms (15.8% of total)ival-sub: 2.0ms (10.5% of total)ival-sqrt: 2.0ms (10.5% of total)ival-add: 1.0ms (5.3% of total)ival-if: 1.0ms (5.3% of total)ival->=: 1.0ms (5.3% of total)ival-neg: 1.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.727360380364054e+136 | 7.764157197757278e+141 |
| 23.0ms | -1.47996602617278e+76 | -3.338806972643086e+74 |
| 32.0ms | 256× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 903 to 578 computations (36% saved)
ival-div: 9.0ms (34.7% of total)ival-mult: 7.0ms (27% of total)ival-sub: 2.0ms (7.7% of total)ival-sqrt: 2.0ms (7.7% of total)ival-add: 1.0ms (3.9% of total)ival-if: 1.0ms (3.9% of total)ival->=: 1.0ms (3.9% of total)ival-neg: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | -2.672967519105415e-61 | -8.574864388692485e-64 |
| 13.0ms | 128× | 0 | valid |
| 4.0ms | 40× | 0 | invalid |
Compiled 436 to 290 computations (33.5% saved)
ival-mult: 5.0ms (39.6% of total)ival-div: 2.0ms (15.8% of total)ival-sub: 2.0ms (15.8% of total)ival-add: 1.0ms (7.9% of total)ival-if: 1.0ms (7.9% of total)ival-sqrt: 1.0ms (7.9% of total)ival-neg: 1.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -2.672967519105415e-61 | -8.574864388692485e-64 |
| 32.0ms | 128× | 0 | valid |
| 3.0ms | 28× | 0 | invalid |
Compiled 436 to 290 computations (33.5% saved)
ival-if: 20.0ms (65.2% of total)ival-mult: 5.0ms (16.3% of total)ival-div: 2.0ms (6.5% of total)ival-add: 1.0ms (3.3% of total)ival-sub: 1.0ms (3.3% of total)ival-sqrt: 1.0ms (3.3% of total)ival-neg: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 32× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 18× | neg-mul-1_binary64 |
| 16× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 303 |
| 1 | 102 | 303 |
| 2 | 119 | 303 |
| 3 | 130 | 303 |
| 4 | 139 | 303 |
| 5 | 150 | 303 |
| 6 | 155 | 303 |
| 7 | 158 | 303 |
| 8 | 159 | 303 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 44999999999999999494702405643475876698669641387869406812840055288799957456499073976262685494313696095210096396148655058265546003469442220032 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -3195861662949927/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (<=.f64 b #s(literal -1628326254899759/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(/.f64 b (neg.f64 a)) |
(/.f64 b a) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 44999999999999999494702405643475876698669641387869406812840055288799957456499073976262685494313696095210096396148655058265546003469442220032 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) (/.f64 b (neg.f64 a)))) |
(if (<=.f64 b #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 44999999999999999494702405643475876698669641387869406812840055288799957456499073976262685494313696095210096396148655058265546003469442220032 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -3195861662949927/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (<=.f64 b #s(literal -3195861662949927/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))) |
(if (<=.f64 b #s(literal -1628326254899759/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))) |
(if (<=.f64 b #s(literal -1628326254899759/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) |
(/.f64 b (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) (/.f64 b a)) |
(/.f64 b a) |
| 12 470× | accelerator-lowering-fma.f32 |
| 12 470× | accelerator-lowering-fma.f64 |
| 9 176× | accelerator-lowering-fma.f32 |
| 9 176× | accelerator-lowering-fma.f64 |
| 7 850× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 302 |
| 1 | 263 | 286 |
| 2 | 2378 | 284 |
| 0 | 8386 | 265 |
| 0 | 1208 | 12913 |
| 1 | 3984 | 12465 |
| 0 | 8056 | 11998 |
| 0 | 53 | 240 |
| 1 | 330 | 220 |
| 2 | 3103 | 205 |
| 0 | 8802 | 184 |
| 0 | 56 | 255 |
| 1 | 325 | 200 |
| 0 | 2632 | 180 |
| 0 | 1658 | 17878 |
| 1 | 5540 | 17266 |
| 0 | 8099 | 16479 |
| 0 | 1093 | 11721 |
| 1 | 3584 | 11474 |
| 0 | 8153 | 10991 |
| 0 | 17 | 56 |
| 1 | 78 | 55 |
| 2 | 654 | 53 |
| 0 | 9614 | 49 |
| 0 | 625 | 3723 |
| 1 | 2006 | 3687 |
| 2 | 6613 | 3641 |
| 0 | 8345 | 3472 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 186 to 631 computations (46.8% saved)
Compiled 730 to 186 computations (74.5% saved)
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