
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 33 to 20 computations (39.4% saved)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 456.0ms (43.9% of total)ival-add: 292.0ms (28.1% of total)ival-pow2: 159.0ms (15.3% of total)ival-sub: 109.0ms (10.5% of total)exact: 12.0ms (1.2% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 60 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 39 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| 18 | 0 | - | 0 | - | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | nan-rescue | 60 | 0 |
| ↳ | (*.f64 b b) | overflow | 72 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 169 | |
| ↳ | (*.f64 a a) | overflow | 68 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 122 | |
| ↳ | (*.f64 b b) | overflow | 72 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 93 | |
| ↳ | (*.f64 a a) | overflow | 68 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 95 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | overflow | 149 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) | overflow | 149 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | nan-rescue | 39 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 93 | |
| ↳ | (*.f64 a a) | overflow | 68 | |
| ↳ | (*.f64 b b) | overflow | 72 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 95 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 78 | 0 |
| - | 0 | 178 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 78 | 0 | 0 |
| - | 0 | 0 | 178 |
| number | freq |
|---|---|
| 0 | 178 |
| 1 | 57 |
| 2 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 482× | 0 | valid |
| 7.0ms | 20× | 2 | valid |
| 2.0ms | 10× | 1 | valid |
Compiled 488 to 80 computations (83.6% saved)
ival-mult: 19.0ms (45.1% of total)ival-add: 9.0ms (21.4% of total)ival-sub: 5.0ms (11.9% of total)ival-pow2: 5.0ms (11.9% of total)adjust: 2.0ms (4.7% of total)ival-true: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 159 |
| 1 | 171 | 157 |
| 2 | 705 | 155 |
| 3 | 2928 | 155 |
| 4 | 6926 | 155 |
| 0 | 19 | 31 |
| 0 | 32 | 31 |
| 1 | 70 | 31 |
| 2 | 196 | 31 |
| 3 | 596 | 31 |
| 4 | 1960 | 31 |
| 5 | 3484 | 31 |
| 0 | 8178 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 31 to 19 computations (38.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
Compiled 31 to 19 computations (38.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 151 |
| 0 | 32 | 151 |
| 1 | 70 | 151 |
| 2 | 196 | 151 |
| 3 | 596 | 151 |
| 4 | 1960 | 151 |
| 5 | 3484 | 151 |
| 0 | 8178 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (fma.f64 a a a) a) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 4.038723838784469 | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 8.843706652434324 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| accuracy | 11.968750000000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 62.0ms | 241× | 0 | valid |
| 3.0ms | 10× | 2 | valid |
| 2.0ms | 5× | 1 | valid |
Compiled 304 to 40 computations (86.8% saved)
ival-mult: 31.0ms (55% of total)ival-add: 18.0ms (31.9% of total)ival-pow2: 3.0ms (5.3% of total)ival-sub: 2.0ms (3.5% of total)adjust: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 1.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1717 | 713 |
| 3 | 5212 | 695 |
| 0 | 8392 | 618 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) a) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(fma.f64 a a (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(* -3 (* a (pow b 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 0 | 30 | 78 |
| 1 | 128 | 78 |
| 2 | 1083 | 78 |
| 0 | 8159 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
Compiled 32 813 to 2 710 computations (91.7% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 8 | 536 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 529 | 8 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.2% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
| 69.8% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) | |
| ▶ | 81.3% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
| ▶ | 82.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| 46.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 71.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 63.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| ▶ | 70.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
Compiled 634 to 394 computations (37.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) | |
| cost-diff | 6464 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 6144 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) | |
| cost-diff | 320 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) | |
| cost-diff | 6144 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 757 |
| 0 | 101 | 745 |
| 1 | 199 | 667 |
| 2 | 462 | 653 |
| 3 | 1295 | 653 |
| 4 | 4101 | 653 |
| 5 | 6839 | 653 |
| 0 | 8140 | 641 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
#s(literal -12 binary64) |
a |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
a |
b |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
#s(literal 4 binary64) |
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(hypot.f64 b a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
#s(literal -12 binary64) |
a |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (-.f64 (pow.f64 (hypot.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (hypot.f64 b a) #s(literal 4 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 b a) #s(literal 4 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) |
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (hypot.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (hypot.f64 b a) #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (hypot.f64 b a) #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (hypot.f64 b a) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
a |
b |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
#s(literal 4 binary64) |
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (hypot.f64 b a) #s(literal 4 binary64)) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(hypot.f64 b a) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1961157677870305 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) | |
| accuracy | 0.41208571641153247 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 7.89839965671906 | (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) | |
| accuracy | 11.968750000000002 | (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 0.125 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 11.968750000000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) | |
| accuracy | 31.282612106023354 | #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 22.937925825405994 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 4.0868980141395115 | (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) | |
| accuracy | 23.974952164142856 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) | |
| accuracy | 0.03125 | (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 3.077805081446623 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) | |
| accuracy | 9.1875 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
| 116.0ms | 241× | 0 | valid |
| 10.0ms | 10× | 2 | valid |
| 4.0ms | 5× | 1 | valid |
Compiled 1 471 to 115 computations (92.2% saved)
ival-mult: 27.0ms (38.2% of total)ival-add: 16.0ms (22.7% of total)ival-pow2: 7.0ms (9.9% of total)ival-pow: 6.0ms (8.5% of total)ival-hypot: 4.0ms (5.7% of total)adjust: 3.0ms (4.2% of total)ival-div: 3.0ms (4.2% of total)ival-sub: 3.0ms (4.2% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(*.f64 b b) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(*.f64 a a) |
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) |
| Outputs |
|---|
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 2) |
(/ 1 (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 12 (/ (* a (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* a (- (* -1 (* a (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (+ (* 12 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (* 12 (/ (* (pow b 2) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))))) (+ (* 4 (pow b 2)) (pow b 4)))))))) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(* (pow a 2) (+ 1 a)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(/ 1 (pow a 4)) |
(/ (- 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4)) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4)) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(* 4 (+ 1 (* -3 a))) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ 4 (* -12 a)) |
(* 4 (pow b 2)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* a (+ a (pow a 2))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | a | @ | -inf | ((+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* b b) (+ (* -12 a) (+ (* b b) 4)) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow (+ (* a a) (* b b)) 2) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* a a) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2))) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* (+ (* a a) a) a) 4) (pow a 4))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a))) |
| 7.0ms | b | @ | 0 | ((+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* b b) (+ (* -12 a) (+ (* b b) 4)) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow (+ (* a a) (* b b)) 2) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* a a) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2))) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* (+ (* a a) a) a) 4) (pow a 4))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a))) |
| 5.0ms | b | @ | inf | ((+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* b b) (+ (* -12 a) (+ (* b b) 4)) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow (+ (* a a) (* b b)) 2) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* a a) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2))) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* (+ (* a a) a) a) 4) (pow a 4))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a))) |
| 4.0ms | a | @ | 0 | ((+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* b b) (+ (* -12 a) (+ (* b b) 4)) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow (+ (* a a) (* b b)) 2) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* a a) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2))) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* (+ (* a a) a) a) 4) (pow a 4))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a))) |
| 3.0ms | b | @ | -inf | ((+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* b b) (+ (* -12 a) (+ (* b b) 4)) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow (+ (* a a) (* b b)) 2) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* a a) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2))) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* (+ (* a a) a) a) 4) (pow a 4))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 3257 |
| 1 | 1522 | 3076 |
| 2 | 5176 | 2901 |
| 0 | 8218 | 2600 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 2) |
(/ 1 (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 12 (/ (* a (pow b 2)) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* a (- (* -1 (* a (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(+ (* a (- (* a (- (* -1 (* a (+ (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (+ (* 12 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (* 12 (/ (* (pow b 2) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2)))))) (+ (* 4 (pow b 2)) (pow b 4)))))))) (+ (* -144 (/ (pow b 4) (pow (+ (* 4 (pow b 2)) (pow b 4)) 3))) (+ (* 2 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))) (* 4 (/ 1 (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))))) (* -12 (/ (pow b 2) (pow (+ (* 4 (pow b 2)) (pow b 4)) 2))))) (/ 1 (+ (* 4 (pow b 2)) (pow b 4)))) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(* (pow a 2) (+ 1 a)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(/ 1 (pow a 4)) |
(/ (- 1 (* 4 (/ 1 a))) (pow a 4)) |
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4)) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4)) |
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4)) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(* 4 (+ 1 (* -3 a))) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ 4 (* -12 a)) |
(* 4 (pow b 2)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* a (+ a (pow a 2))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(/ 1 (pow b 4)) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1))) |
| Outputs |
|---|
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) a) a)) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64)) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
(/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(fma.f64 (*.f64 (neg.f64 b) b) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))) |
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
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(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) (/ 1 (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))))) (+ (* 2 (/ (pow a 2) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 2)))))) (/ 1 (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) (fma.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))) (*.f64 b b) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))))) (*.f64 b b) (neg.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))) |
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) |
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(* (pow b 2) (+ 4 (* -12 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) |
(* a (+ a (pow a 2))) |
(*.f64 (fma.f64 a a a) a) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 b (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) b b)) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(*.f64 b (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 b (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b b)) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(/ 1 (pow b 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) |
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (pow b 4)))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (pow b 4)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) (pow.f64 b #s(literal 4 binary64))) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)))))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 a (-.f64 (/.f64 (/.f64 (fma.f64 a a a) b) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* -3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 (fma.f64 a (-.f64 (/.f64 (/.f64 (fma.f64 a a a) b) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 572 |
| 0 | 101 | 514 |
| 1 | 516 | 493 |
| 2 | 4386 | 493 |
| 0 | 8747 | 491 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(*.f64 b b) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(*.f64 a a) |
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (pow.f64 a #s(literal 8 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (pow.f64 a #s(literal 8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (pow.f64 a #s(literal 8 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (pow.f64 a #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64))) (+.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (pow.f64 a #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 a (*.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 a a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (fma.f64 a a a) (*.f64 #s(literal 4 binary64) a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))))) |
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) (pow.f64 a #s(literal 4 binary64))) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (-.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 a a) (+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b))) |
(fma.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b))) |
(fma.f64 (fma.f64 a a a) a (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b)) |
(fma.f64 a (fma.f64 a a a) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b)) |
(fma.f64 a a (+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b) (*.f64 (fma.f64 a a a) a))) (/.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b) (*.f64 (fma.f64 a a a) a)))) |
(+.f64 (fma.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b (*.f64 a a)) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b) (*.f64 (fma.f64 a a a) a)) |
(+.f64 (*.f64 a a) (+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b))) |
(+.f64 (*.f64 (fma.f64 a a a) a) (*.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b)) |
Compiled 50 820 to 3 467 computations (93.2% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 828 | 11 | 839 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 834 | 13 | 847 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
| 86.0% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) | |
| ▶ | 64.8% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| 81.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) | |
| ✓ | 71.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 63.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| ▶ | 71.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
| ▶ | 49.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 44.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) | |
| 66.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) | |
| ▶ | 32.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
| 64.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| 71.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
Compiled 1 274 to 767 computations (39.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) | |
| cost-diff | 0 | #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 699 |
| 0 | 96 | 683 |
| 1 | 197 | 671 |
| 2 | 446 | 671 |
| 3 | 1136 | 668 |
| 4 | 2945 | 668 |
| 5 | 4671 | 668 |
| 6 | 6382 | 668 |
| 0 | 8211 | 585 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
#s(literal -12 binary64) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) |
(*.f64 (*.f64 b a) #s(literal -12 binary64)) |
(*.f64 b a) |
b |
a |
#s(literal -12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
#s(literal -12 binary64) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) |
(*.f64 (*.f64 b a) #s(literal -12 binary64)) |
(*.f64 b a) |
b |
a |
#s(literal -12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal 4 binary64) a) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) | |
| accuracy | 26.338195747172183 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| accuracy | 0.03125 | (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) | |
| accuracy | 22.937925825405994 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) | |
| accuracy | 0.2109375 | (*.f64 (*.f64 b a) #s(literal -12 binary64)) | |
| accuracy | 23.974952164142856 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) | |
| accuracy | 31.28284196243947 | #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)) | |
| accuracy | 0.0 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 16.605769599471152 | #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| accuracy | 22.937925825405994 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 2.628994107945852 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) | |
| accuracy | 3.077805081446623 | (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
| 138.0ms | 256× | 0 | valid |
Compiled 1 250 to 137 computations (89% saved)
ival-mult: 43.0ms (48.9% of total)ival-add: 22.0ms (25% of total)ival-pow2: 8.0ms (9.1% of total)ival-hypot: 4.0ms (4.5% of total)ival-div: 3.0ms (3.4% of total)ival-sub: 3.0ms (3.4% of total)ival-pow: 3.0ms (3.4% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 b b) |
(*.f64 (*.f64 b a) #s(literal -12 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(* -12 (* a (pow b 2))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* -12 (* a b)) |
4 |
(+ 4 a) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) |
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* 4 (pow b 2)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(* 4 b) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | inf | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b)) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (* b a) -12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (* b b) (* (* b a) -12) (+ 4 a)) |
| 4.0ms | b | @ | 0 | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b)) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (* b a) -12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (* b b) (* (* b a) -12) (+ 4 a)) |
| 4.0ms | b | @ | -inf | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b)) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (* b a) -12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (* b b) (* (* b a) -12) (+ 4 a)) |
| 3.0ms | a | @ | 0 | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b)) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (* b a) -12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (* b b) (* (* b a) -12) (+ 4 a)) |
| 2.0ms | a | @ | inf | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b)) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (* b a) -12) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (* b b) (* (* b a) -12) (+ 4 a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 1669 |
| 1 | 904 | 1553 |
| 2 | 2678 | 1451 |
| 3 | 7052 | 1437 |
| 0 | 8422 | 1269 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(* -12 (* a (pow b 2))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* -12 (* a b)) |
4 |
(+ 4 a) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) |
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* 4 (pow b 2)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(* 4 b) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* 4 a))) |
(*.f64 (fma.f64 a a a) #s(literal 4 binary64)) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(* -12 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 #s(literal -12 binary64) b) a) b) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* -12 (* a b)) |
(*.f64 (*.f64 #s(literal -12 binary64) b) a) |
4 |
#s(literal 4 binary64) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (*.f64 b (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(*.f64 (*.f64 b (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64))) (*.f64 a a)) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b) a) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64))) (*.f64 a a)) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) |
(*.f64 (*.f64 (*.f64 b (fma.f64 (/.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 2 binary64) b))) a) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a)) a) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) a)) a) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(pow b 2) |
(*.f64 b b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a (/.f64 a b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 a b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4)))))) |
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a (/.f64 a b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 a b)) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 632 |
| 0 | 96 | 604 |
| 1 | 500 | 601 |
| 2 | 4012 | 601 |
| 0 | 10464 | 518 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b)) |
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 b b) |
(*.f64 (*.f64 b a) #s(literal -12 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)) (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)))) |
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal -1 binary64)) |
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(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) a) (-.f64 #s(literal 16 binary64) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))) |
(fma.f64 a #s(literal 1 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 1 binary64) a #s(literal 4 binary64)) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 4 binary64) a))) |
(+.f64 #s(literal 4 binary64) a) |
(+.f64 a #s(literal 4 binary64)) |
Compiled 31 571 to 1 561 computations (95.1% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 9 | 399 |
| Fresh | 3 | 4 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 397 | 15 | 412 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) | |
| ✓ | 64.8% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| ▶ | 37.9% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| 63.9% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) | |
| ▶ | 47.0% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
| ▶ | 81.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
| ✓ | 49.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 66.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
| 64.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| ▶ | 99.9% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
| 86.0% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) | |
| 71.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| 53.6% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 45.9% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 71.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
Compiled 1 514 to 917 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) | |
| cost-diff | 320 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) | |
| cost-diff | 832 | (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) | |
| cost-diff | 0 | #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) | |
| cost-diff | 832 | (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 856 |
| 0 | 131 | 824 |
| 1 | 267 | 793 |
| 2 | 633 | 772 |
| 3 | 1718 | 772 |
| 4 | 5250 | 764 |
| 5 | 7683 | 764 |
| 0 | 8076 | 702 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal -12 binary64) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal -1 binary64) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) |
#s(approx (+ 4 a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a)) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(*.f64 b b) |
b |
(+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal -12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
| Outputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal -12 binary64) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal -1 binary64) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) |
#s(approx (+ 4 a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a)) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) b) |
(*.f64 b b) |
b |
(+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) |
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal -12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)))) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 3.077805081446623 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) | |
| accuracy | 9.960898966477844 | (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) | |
| accuracy | 2.40042005573998 | (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) | |
| accuracy | 4.030114962581376 | (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) | |
| accuracy | 6.60788804466753 | (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) | |
| accuracy | 23.974952164142856 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) | |
| accuracy | 26.338195747172183 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) | |
| accuracy | 33.09839818615361 | #s(approx (+ 4 a) #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) a) | |
| accuracy | 0.0546875 | (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) | |
| accuracy | 26.338195747172183 | #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) | |
| accuracy | 32.19363877459635 | #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) | |
| accuracy | 0.010966230164287516 | (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 3.077805081446623 | (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
| 112.0ms | 241× | 0 | valid |
| 11.0ms | 10× | 2 | valid |
| 4.0ms | 5× | 1 | valid |
Compiled 1 552 to 162 computations (89.6% saved)
ival-mult: 46.0ms (46.9% of total)ival-add: 24.0ms (24.5% of total)ival-sub: 7.0ms (7.1% of total)ival-pow2: 7.0ms (7.1% of total)ival-div: 5.0ms (5.1% of total)ival-hypot: 5.0ms (5.1% of total)adjust: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a)) |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) a) |
#s(approx (+ 4 a) #s(literal 4 binary64)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
4 |
(+ 4 a) |
(/ (+ 4 (pow b 2)) a) |
(/ (* (pow b 2) (+ 4 (pow b 2))) a) |
(/ (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(+ 4 (* a (- (* 2 a) 12))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(* a (* (pow b 2) (- (* 4 (/ 1 a)) 12))) |
(* (pow b 2) (+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(* 4 (+ 1 (* -3 a))) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(/ 4 a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(* (pow b 2) (- (* 4 (/ 1 a)) 12)) |
(* (pow b 2) (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(/ (pow b 4) a) |
(* (pow b 4) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | b | @ | -inf | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (* (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1) (* 4 a) (+ 4 a) (/ (+ (* b b) 4) a) (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))))) |
| 11.0ms | a | @ | 0 | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (* (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1) (* 4 a) (+ 4 a) (/ (+ (* b b) 4) a) (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))))) |
| 8.0ms | b | @ | 0 | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (* (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1) (* 4 a) (+ 4 a) (/ (+ (* b b) 4) a) (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))))) |
| 4.0ms | b | @ | inf | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (* (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1) (* 4 a) (+ 4 a) (/ (+ (* b b) 4) a) (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))))) |
| 4.0ms | a | @ | -inf | ((- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (* (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))) (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (+ (* (+ (* -3 a) 1) 4) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* a a) (+ (* (+ 4 a) a) 4)) -1) (* 4 a) (+ 4 a) (/ (+ (* b b) 4) a) (* (* b b) (+ (/ (+ (* b b) 4) a) -12)) (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) (* (+ (* a a) a) a) (+ (* (* (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* a a) (* a a)) (* 4 (* (+ (* a a) a) a))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 2174 |
| 1 | 1096 | 2036 |
| 2 | 3325 | 1934 |
| 0 | 8230 | 1712 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
4 |
(+ 4 a) |
(/ (+ 4 (pow b 2)) a) |
(/ (* (pow b 2) (+ 4 (pow b 2))) a) |
(/ (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(+ 4 (* a (- (* 2 a) 12))) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(* a (* (pow b 2) (- (* 4 (/ 1 a)) 12))) |
(* (pow b 2) (+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(* 4 (+ 1 (* -3 a))) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(/ 4 a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(* (pow b 2) (- (* 4 (/ 1 a)) 12)) |
(* (pow b 2) (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(/ (pow b 4) a) |
(* (pow b 4) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(/ (+ 4 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(/ (* (pow b 2) (+ 4 (pow b 2))) a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) a) |
(/ (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) a) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(*.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64))) (/.f64 #s(literal 12 binary64) a)) (*.f64 a a)) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) a) a)) a #s(literal 4 binary64))) |
(* -12 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(* -12 a) |
(*.f64 #s(literal -12 binary64) a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(fma.f64 (fma.f64 b (/.f64 b a) #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* -12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -12 binary64)) |
(+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))) a) a) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)) a) a) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a (*.f64 #s(literal -12 binary64) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ 4 (* a (- (* 2 a) 12))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(* a (* (pow b 2) (- (* 4 (/ 1 a)) 12))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(* 4 (+ 1 (* -3 a))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a)) |
(* (pow b 2) (- (* 4 (/ 1 a)) 12)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) b) b) |
(* (pow b 2) (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64)) #s(literal -12 binary64)) b) b) |
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) |
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 b (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (/ (* a (- (* 4 (/ 1 a)) 12)) (pow b 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 b (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) b b)) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(*.f64 b (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) b b)) |
(/ (pow b 2) a) |
(*.f64 b (/.f64 b a)) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 b (fma.f64 b (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) a) (/.f64 b a))) |
(/ (pow b 4) a) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) a) |
(* (pow b 4) (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) b) b) (/.f64 #s(literal 1 binary64) a)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 705 |
| 0 | 131 | 664 |
| 1 | 635 | 655 |
| 2 | 5548 | 655 |
| 0 | 8364 | 601 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a)) |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) a) |
#s(approx (+ 4 a) #s(literal 4 binary64)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) #s(literal 2 binary64))))) |
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(fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))))) |
(fma.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 a a a) #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b)) |
(fma.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b)) |
(fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b) (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b) (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b) (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))))) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b))) |
(+.f64 (*.f64 a (fma.f64 (fma.f64 a a a) #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b)) |
(+.f64 (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (pow.f64 a #s(literal 4 binary64)))) |
Compiled 44 299 to 2 637 computations (94% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 9 | 550 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 548 | 17 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.9% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| ✓ | 47.0% | (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
| 68.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) | |
| ✓ | 49.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 65.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(approx (/ (+ (* b b) 4) a) (*.f64 b (/.f64 b a))) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) | |
| 67.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 a b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b)))) #s(literal 1 binary64)) | |
| 64.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| 71.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) | |
| ✓ | 99.9% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
| 86.0% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) | |
| 64.8% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) | |
| 71.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| 99.7% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) | |
| 73.4% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) | |
| 99.2% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) | |
| 53.6% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 45.9% | #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (pow.f64 a #s(literal 4 binary64))) |
Compiled 2 977 to 825 computations (72.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(approx (/ (+ (* b b) 4) a) (*.f64 b (/.f64 b a))) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 a b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* (+ (* -3 a) 1) 4) (* b b))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a))))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
5 calls:
| 54.0ms | b |
| 11.0ms | (*.f64 b b) |
| 11.0ms | a |
| 10.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 9.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.9% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(approx (/ (+ (* b b) 4) a) (*.f64 b (/.f64 b a))) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 a b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
5 calls:
| 10.0ms | (*.f64 b b) |
| 9.0ms | b |
| 7.0ms | a |
| 7.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 6.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.9% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(approx (/ (+ (* b b) 4) a) (*.f64 b (/.f64 b a))) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 a b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) |
5 calls:
| 10.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 7.0ms | b |
| 7.0ms | a |
| 6.0ms | (*.f64 b b) |
| 6.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.7% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.7% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 #s(approx (/ (+ (* b b) 4) a) (*.f64 b (/.f64 b a))) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 a b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
5 calls:
| 12.0ms | b |
| 6.0ms | a |
| 5.0ms | (*.f64 b b) |
| 5.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 5.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.7% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
5 calls:
| 5.0ms | b |
| 5.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 5.0ms | a |
| 5.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | a |
| 99.2% | 1 | b |
| 99.2% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.2% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.2% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
5 calls:
| 6.0ms | (*.f64 b b) |
| 4.0ms | b |
| 4.0ms | a |
| 4.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 4.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | a |
| 97.0% | 2 | b |
| 80.7% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 80.7% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 97.0% | 2 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
3 calls:
| 4.0ms | b |
| 3.0ms | a |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | a |
| 84.7% | 2 | b |
| 84.7% | 2 | (*.f64 b b) |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
3 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 2 | b |
| 84.7% | 2 | (*.f64 b b) |
| 85.1% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | a |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 57.2% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 68.3% | 3 | a |
| 68.0% | 2 | b |
| 68.0% | 2 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 49.0% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 49.0% | 1 | a |
| 49.0% | 1 | b |
| 49.0% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1759525518227082e-10 | 1.207695300449744e-7 |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 3.322216925020576e+94 | 2.385796748677763e+106 |
| 21.0ms | -5.311152996959684e+143 | -1.4251857796621922e+138 |
| 29.0ms | 304× | 0 | valid |
Compiled 1 809 to 1 162 computations (35.8% saved)
ival-mult: 10.0ms (46.1% of total)ival-add: 5.0ms (23% of total)ival-sub: 3.0ms (13.8% of total)ival-pow2: 3.0ms (13.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1759525518227082e-10 | 1.207695300449744e-7 |
Compiled 32 to 23 computations (28.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 2.226536725806233e+291 | 7.867076186914821e+293 |
| 30.0ms | 128× | 0 | valid |
Compiled 824 to 527 computations (36% saved)
ival-sub: 20.0ms (73.3% of total)ival-mult: 4.0ms (14.7% of total)ival-add: 2.0ms (7.3% of total)ival-pow2: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 809 |
| 1 | 190 | 779 |
| 2 | 425 | 779 |
| 3 | 1199 | 779 |
| 4 | 3727 | 779 |
| 5 | 7260 | 779 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -519999999999999977689253649988389041122324820682368444530738351910816273730855940052686019102043024947579827647852134142022437830798194556010496 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (*.f64 b b)) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (- (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -519999999999999977689253649988389041122324820682368444530738351910816273730855940052686019102043024947579827647852134142022437830798194556010496 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 (*.f64 (fma.f64 #s(approx (+ 4 a) #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 binary64)) (-.f64 #s(approx (/ 1 (/ 1 (+ (* (+ (* (* (+ (* -3 a) 1) b) b) (* (+ (* a a) a) a)) 4) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 2174 |
| 1 | 1096 | 2036 |
| 2 | 3325 | 1934 |
| 0 | 8230 | 1712 |
| 0 | 266 | 1669 |
| 1 | 904 | 1553 |
| 2 | 2678 | 1451 |
| 3 | 7052 | 1437 |
| 0 | 8422 | 1269 |
| 0 | 18 | 78 |
| 0 | 30 | 78 |
| 1 | 128 | 78 |
| 2 | 1083 | 78 |
| 0 | 8159 | 63 |
| 0 | 453 | 3257 |
| 1 | 1522 | 3076 |
| 2 | 5176 | 2901 |
| 0 | 8218 | 2600 |
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1717 | 713 |
| 3 | 5212 | 695 |
| 0 | 8392 | 618 |
| 1× | fuel |
| 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 |
Compiled 943 to 216 computations (77.1% saved)
(abs b)
Compiled 1 886 to 348 computations (81.5% saved)
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