
Time bar (total: 7.3s)
| 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 31 to 19 computations (38.7% saved)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 319.0ms (40.4% of total)ival-add: 224.0ms (28.4% of total)ival-pow2: 128.0ms (16.2% of total)ival-sub: 100.0ms (12.7% of total)exact: 11.0ms (1.4% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 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 3 binary64) a))))) |
| 34 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 14 | 0 | - | 1 | (-3.9870825519725897e+90 -1.2515565367103778e-155) | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
| 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) a) |
| 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 3 binary64) a)))) |
| 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 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 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 3 binary64) a))))) | nan-rescue | 36 | 0 |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 148 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 108 | |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) | overflow | 124 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 123 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 81 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 76 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 34 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 76 | |
| ↳ | (*.f64 a a) | overflow | 56 | |
| ↳ | (*.f64 b b) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 81 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 56 | 0 |
| - | 0 | 200 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 56 | 0 | 0 |
| - | 0 | 0 | 200 |
| number | freq |
|---|---|
| 0 | 200 |
| 1 | 42 |
| 2 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 512× | 0 | valid |
Compiled 305 to 58 computations (81% saved)
ival-pow2: 16.0ms (35.3% of total)ival-mult: 14.0ms (30.9% of total)ival-add: 9.0ms (19.8% of total)ival-sub: 5.0ms (11% of total)exact: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 149 |
| 1 | 154 | 147 |
| 2 | 661 | 145 |
| 3 | 2961 | 145 |
| 4 | 6959 | 145 |
| 0 | 18 | 29 |
| 0 | 30 | 29 |
| 1 | 63 | 29 |
| 2 | 178 | 29 |
| 3 | 566 | 29 |
| 4 | 1582 | 29 |
| 5 | 2936 | 29 |
| 6 | 6901 | 29 |
| 0 | 8194 | 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 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 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 29 to 18 computations (37.9% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.0% | (-.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 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 29 to 18 computations (37.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 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 3 binary64) a))))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| cost-diff | 1 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 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 3 binary64) a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 136 |
| 0 | 30 | 136 |
| 1 | 63 | 136 |
| 2 | 178 | 136 |
| 3 | 566 | 136 |
| 4 | 1582 | 136 |
| 5 | 2936 | 136 |
| 6 | 6901 | 136 |
| 0 | 8194 | 126 |
| 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 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 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 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 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 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 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.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 3 binary64) a))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) 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 3 binary64) a)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) 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 3 binary64) a))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 3.1957048648045574 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 7.175781250000001 | (+.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 3 binary64) a))))) | |
| accuracy | 7.496064851622882 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 34.0ms | 256× | 0 | valid |
Compiled 138 to 20 computations (85.5% saved)
ival-add: 11.0ms (46.5% of total)ival-mult: 7.0ms (29.6% of total)ival-sub: 2.0ms (8.4% of total)ival-pow2: 2.0ms (8.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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 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 3 binary64) a))) |
(-.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 3 binary64) a))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(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 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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))))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (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 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(* (pow b 2) (+ 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 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 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 (/ (+ 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))))) |
(* (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 | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 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) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 1.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 1.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 980 |
| 1 | 599 | 947 |
| 2 | 1876 | 917 |
| 3 | 5825 | 884 |
| 0 | 8215 | 794 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(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 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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))))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (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 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(* (pow b 2) (+ 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 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 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 (/ (+ 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))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (*.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 b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(* (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 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) 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 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 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 a)))) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (neg.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 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(* (pow a 2) (- 1 a)) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) 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 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.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 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)) (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) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(-.f64 (fma.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 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* (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 | 94 |
| 0 | 30 | 94 |
| 1 | 140 | 94 |
| 2 | 1251 | 94 |
| 0 | 8299 | 81 |
| 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 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 3 binary64) a))) |
(-.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 3 binary64) a))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 2 binary64)) #s(literal 16 binary64) (neg.f64 (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 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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)) (*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 2 binary64)) #s(literal 16 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 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #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)))))) |
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(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.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 (-.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 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.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 (-.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 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (*.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 (*.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 (+.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 (+.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 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 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 (+.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 (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 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)))) |
(+.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))) |
Compiled 40 988 to 2 676 computations (93.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 584 | 9 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 585 | 9 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| 56.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 73.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 67.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 72.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| ▶ | 81.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
| ▶ | 92.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) |
| 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| ▶ | 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| ▶ | 68.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
Compiled 774 to 476 computations (38.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) | |
| cost-diff | 2 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) | |
| cost-diff | 2 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 480 |
| 0 | 68 | 480 |
| 1 | 157 | 480 |
| 2 | 420 | 480 |
| 3 | 1202 | 473 |
| 4 | 3607 | 473 |
| 5 | 5104 | 473 |
| 0 | 8135 | 444 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
b |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 b b) |
b |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 #s(literal 4 binary64) a) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 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)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 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))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
b |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #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 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #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) |
a |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 (*.f64 #s(literal 4 binary64) a) a #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 (*.f64 #s(literal 4 binary64) a) a #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
(*.f64 b b) |
b |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 #s(literal 4 binary64) a) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.11129630115753779 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 23.63259536574973 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| accuracy | 3.3906250000000004 | (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| accuracy | 7.695455046003165 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.01171875 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) | |
| accuracy | 20.118552898335743 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 12 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| accuracy | 16.867957958697364 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) | |
| accuracy | 0.01171875 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) | |
| accuracy | 3.61328125 | (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
| 136.0ms | 256× | 0 | valid |
Compiled 422 to 44 computations (89.6% saved)
ival-mult: 34.0ms (58.7% of total)ival-add: 15.0ms (25.9% of total)ival-pow2: 3.0ms (5.2% of total)ival-pow: 3.0ms (5.2% of total)ival-sub: 2.0ms (3.5% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
| Outputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))) |
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(- (* 12 (pow b 2)) 1) |
(pow b 2) |
12 |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(* 4 a) |
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 4 (* 2 a))) |
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | 0 | ((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4))) |
| 3.0ms | a | @ | 0 | ((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4))) |
| 3.0ms | b | @ | inf | ((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4))) |
| 2.0ms | a | @ | -inf | ((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4))) |
| 2.0ms | a | @ | inf | ((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 1497 |
| 1 | 814 | 1442 |
| 2 | 2559 | 1374 |
| 3 | 6892 | 1354 |
| 0 | 8221 | 1193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))) |
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(- (* 12 (pow b 2)) 1) |
(pow b 2) |
12 |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(* 4 a) |
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 4 (* 2 a))) |
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
| Outputs |
|---|
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
-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 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (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 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 #s(literal 4 binary64) a))) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (*.f64 a a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 b b) a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))) |
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) 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 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) 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))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)))) |
(*.f64 (*.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) a)) a)) a) a) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4))) |
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(pow b 2) |
(*.f64 b b) |
12 |
#s(literal 12 binary64) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.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 (/.f64 #s(literal 2 binary64) b) b)) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (+.f64 #s(literal 3 binary64) a) (/.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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 12 binary64)) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (+ 4 (* 2 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2)))))) |
(*.f64 (fma.f64 a (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 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 (/.f64 #s(literal 2 binary64) b) b)) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (+.f64 #s(literal 3 binary64) a) (/.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 383 |
| 0 | 68 | 383 |
| 1 | 376 | 383 |
| 2 | 3433 | 383 |
| 0 | 9678 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 a a) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) |
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) |
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)))) |
(+.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) |
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(+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a)) |
(+.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(fma.f64 b (*.f64 #s(literal 12 binary64) b) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
Compiled 61 344 to 2 805 computations (95.4% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 13 | 762 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 755 | 16 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 56.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ▶ | 92.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
| ▶ | 80.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
| 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| 68.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) a) a #s(literal -1 binary64))) | |
| ✓ | 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| 56.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| ▶ | 68.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 47.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| 51.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| 72.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) | |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 40.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| ▶ | 28.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
Compiled 1 395 to 821 computations (41.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 600 |
| 0 | 66 | 600 |
| 1 | 143 | 600 |
| 2 | 356 | 564 |
| 3 | 977 | 564 |
| 4 | 2777 | 564 |
| 5 | 4216 | 564 |
| 6 | 7865 | 564 |
| 0 | 8077 | 538 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
b |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.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) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
b |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 b b) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
b |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 b b) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.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) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
b |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
a |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
(*.f64 b b) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) | |
| accuracy | 3.61328125 | (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) | |
| accuracy | 28.436530387880016 | #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.0 | #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| accuracy | 20.118552898335743 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.1620775511575378 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| accuracy | 14.037035426956649 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| accuracy | 23.63259536574973 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) | |
| accuracy | 20.118552898335743 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) | |
| accuracy | 28.436530387880016 | #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| accuracy | 3.61328125 | (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 119.0ms | 256× | 0 | valid |
Compiled 440 to 39 computations (91.1% saved)
ival-mult: 42.0ms (66.3% of total)ival-add: 12.0ms (18.9% of total)ival-sub: 3.0ms (4.7% of total)ival-pow2: 3.0ms (4.7% of total)ival-pow: 3.0ms (4.7% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(*.f64 b b) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
12 |
(+ 12 (* 4 a)) |
(+ 12 (* a (+ 4 (* 2 a)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow a 2) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* b b)) |
| 2.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* b b)) |
| 1.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* b b)) |
| 1.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* b b)) |
| 1.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* b b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1144 |
| 1 | 647 | 1097 |
| 2 | 2012 | 1044 |
| 3 | 7690 | 1044 |
| 0 | 8117 | 923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
12 |
(+ 12 (* 4 a)) |
(+ 12 (* a (+ 4 (* 2 a)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow a 2) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
12 |
#s(literal 12 binary64) |
(+ 12 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
-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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b)) |
(pow a 2) |
(*.f64 a a) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) a)) (*.f64 a a)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) a)) (*.f64 a a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) 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 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) 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))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b)) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(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 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.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 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) 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 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 12 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 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.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 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 475 |
| 0 | 66 | 475 |
| 1 | 357 | 475 |
| 2 | 3125 | 475 |
| 0 | 8465 | 435 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) |
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(*.f64 b b) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)) (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)) (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (neg.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64)))))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64))))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (/.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (/.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) a) a #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) a) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) (*.f64 b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(+.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)) |
(*.f64 b b) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
Compiled 39 108 to 1 403 computations (96.4% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 4 | 411 |
| Fresh | 2 | 7 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 412 | 15 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ▶ | 56.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
| ✓ | 92.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
| ▶ | 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| ▶ | 87.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
| ▶ | 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
| 68.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) a) a #s(literal -1 binary64))) | |
| ✓ | 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| 56.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| 47.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| ▶ | 51.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 66.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) | |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 40.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| ✓ | 28.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
Compiled 1 248 to 727 computations (41.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 12 binary64) b) b) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 475 |
| 0 | 76 | 475 |
| 1 | 155 | 475 |
| 2 | 352 | 475 |
| 3 | 957 | 460 |
| 4 | 2379 | 460 |
| 5 | 4048 | 460 |
| 6 | 7990 | 460 |
| 0 | 8197 | 433 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
b |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
#s(approx (+ (* (- 1 a) 4) (* a a)) #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) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) |
(*.f64 (*.f64 #s(literal 12 binary64) b) b) |
(*.f64 #s(literal 12 binary64) b) |
#s(literal 12 binary64) |
b |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
b |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 12 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
b |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal 4 binary64) |
#s(literal 12 binary64) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 a a) |
a |
#s(approx (+ (* (- 1 a) 4) (* a a)) #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) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 12 binary64) b) b) |
(*.f64 #s(literal 12 binary64) (*.f64 b b)) |
(*.f64 #s(literal 12 binary64) b) |
#s(literal 12 binary64) |
b |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) |
b |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 12 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.06640625 | (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 17.91182649737418 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 12 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| accuracy | 16.867957958697364 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 12 binary64) b) | |
| accuracy | 0.09375 | (*.f64 (*.f64 #s(literal 12 binary64) b) b) | |
| accuracy | 14.037035426956649 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) | |
| accuracy | 23.63259536574973 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 20.118552898335743 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 27.66279545939502 | #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) | |
| accuracy | 0.0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) | |
| accuracy | 3.396480525543211 | (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) | |
| accuracy | 28.436530387880016 | #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
| 95.0ms | 231× | 0 | valid |
| 8.0ms | 9× | 3 | valid |
| 6.0ms | 11× | 1 | valid |
| 4.0ms | 5× | 2 | valid |
Compiled 383 to 48 computations (87.5% saved)
ival-mult: 59.0ms (63.5% of total)ival-add: 19.0ms (20.4% of total)adjust: 5.0ms (5.4% of total)ival-sub: 3.0ms (3.2% of total)ival-pow: 3.0ms (3.2% of total)ival-pow2: 3.0ms (3.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) |
(*.f64 (*.f64 #s(literal 12 binary64) b) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(*.f64 #s(literal 12 binary64) b) |
(*.f64 b b) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
12 |
(+ 12 (* 4 a)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a))) |
(* 4 a) |
(* a (+ 4 (+ (* 12 (/ 1 a)) (/ (pow b 2) a)))) |
(* a (+ 4 (* 12 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))))) |
(* -1 (* a (- (* -1 (/ (+ 12 (pow b 2)) a)) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(- (* 12 (pow b 2)) 1) |
(* 12 b) |
(- (* (pow b 2) (+ 12 (* 4 a))) 1) |
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) b) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (+ (* b b) (+ (* 4 a) 12)) (+ (* 4 a) 12) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* 12 b) (* b b)) |
| 3.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) b) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (+ (* b b) (+ (* 4 a) 12)) (+ (* 4 a) 12) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* 12 b) (* b b)) |
| 3.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) b) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (+ (* b b) (+ (* 4 a) 12)) (+ (* 4 a) 12) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* 12 b) (* b b)) |
| 2.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) b) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (+ (* b b) (+ (* 4 a) 12)) (+ (* 4 a) 12) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* 12 b) (* b b)) |
| 2.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) b) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (* (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) b) (+ (* b b) (+ (* (+ (* 2 a) 4) a) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* 12 b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (+ (* b b) (+ (* 4 a) 12)) (+ (* 4 a) 12) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* 12 b) (* b b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1534 |
| 1 | 900 | 1467 |
| 2 | 2753 | 1410 |
| 3 | 7580 | 1408 |
| 0 | 8208 | 1248 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(+ 12 (pow b 2)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
12 |
(+ 12 (* 4 a)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a)))) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a))) |
(* 4 a) |
(* a (+ 4 (+ (* 12 (/ 1 a)) (/ (pow b 2) a)))) |
(* a (+ 4 (* 12 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))))) |
(* -1 (* a (- (* -1 (/ (+ 12 (pow b 2)) a)) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(- (* 12 (pow b 2)) 1) |
(* 12 b) |
(- (* (pow b 2) (+ 12 (* 4 a))) 1) |
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(+ 12 (+ (* 4 a) (pow b 2))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) |
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) |
-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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(pow a 2) |
(*.f64 a a) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) 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)))) |
12 |
#s(literal 12 binary64) |
(+ 12 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) 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) (+ (* 2 b) (* 4 (/ b a)))) |
(*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64))) (*.f64 a a)) |
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 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 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 #s(literal 4 binary64) a))) (*.f64 a a)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a #s(literal -1 binary64)) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (+ (* 12 (/ 1 a)) (/ (pow b 2) a)))) |
(fma.f64 (fma.f64 (/.f64 b a) b #s(literal 4 binary64)) a #s(literal 12 binary64)) |
(* a (+ 4 (* 12 (/ 1 a)))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) 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 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (neg.f64 a))) a) a) |
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) 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))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 b b)) a #s(literal -1 binary64)) |
(* -1 (* a (- (* -1 (/ (+ 12 (pow b 2)) a)) 4))) |
(*.f64 (neg.f64 a) (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64))) |
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64))) |
(* b (+ 12 (* a (+ 4 (* 2 a))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) |
(+ 12 (* a (+ 4 (* 2 a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)) |
(* 12 b) |
(*.f64 #s(literal 12 binary64) b) |
(- (* (pow b 2) (+ 12 (* 4 a))) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)) |
(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 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) 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 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.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 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) 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 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 12 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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 12 binary64) b)) |
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 12 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.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 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 12 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) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) a (-.f64 (+.f64 (/.f64 #s(literal 12 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 2) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 b b) #s(literal 12 binary64)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 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 4 binary64)) a #s(literal 12 binary64)) b) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 444 |
| 0 | 76 | 444 |
| 1 | 390 | 441 |
| 2 | 3346 | 441 |
| 0 | 8889 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a a) |
#s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) |
(*.f64 (*.f64 #s(literal 12 binary64) b) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(*.f64 #s(literal 12 binary64) b) |
(*.f64 b b) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
(+.f64 #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)) |
(*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) |
(*.f64 b (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64))) b) (-.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a))) |
(/.f64 (*.f64 b (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 (*.f64 b b) b (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)) |
(fma.f64 (*.f64 b b) b (*.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)))) |
(fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (*.f64 b b)) (*.f64 #s(literal 12 binary64) b)) |
(fma.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 b (*.f64 b b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)) |
(fma.f64 b (*.f64 b b) (*.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (*.f64 b b)) b) (*.f64 #s(literal 12 binary64) b)) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) (pow.f64 b #s(literal 3 binary64))) |
(+.f64 (*.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (*.f64 b b))) (*.f64 #s(literal 12 binary64) b)) |
(+.f64 (*.f64 b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) (pow.f64 b #s(literal 3 binary64))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)) |
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64)) #s(literal 144 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 16 binary64) (*.f64 a a))) (-.f64 #s(literal 12 binary64) (*.f64 #s(literal 4 binary64) a))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -144 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1728 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 144 binary64) (*.f64 a #s(literal 48 binary64)))))) |
(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -144 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64))) |
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1728 binary64)) (+.f64 #s(literal 144 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 a #s(literal 48 binary64))))) |
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1728 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 144 binary64) (*.f64 a #s(literal 48 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -144 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 144 binary64) (*.f64 a #s(literal 48 binary64)))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1728 binary64)))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal -12 binary64)))) |
(+.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) |
(+.f64 #s(literal 12 binary64) (*.f64 #s(literal 4 binary64) a)) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(*.f64 #s(literal 12 binary64) b) |
(*.f64 b #s(literal 12 binary64)) |
(*.f64 b b) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
Compiled 29 094 to 1 824 computations (93.7% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 3 | 410 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 408 | 17 | 425 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 56.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ✓ | 92.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
| ✓ | 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| ✓ | 87.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
| ✓ | 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
| 68.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) a) a #s(literal -1 binary64))) | |
| ✓ | 73.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| 56.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| 47.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| ✓ | 51.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| 66.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) | |
| 70.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* 4 a) 12)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal 4 binary64)) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| 56.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) | |
| 45.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 40.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 16.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) | |
| ✓ | 28.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
Compiled 2 254 to 652 computations (71.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* 4 a) 12)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal 4 binary64)) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 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) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 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) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.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) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
5 calls:
| 9.0ms | a |
| 9.0ms | (+.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 3 binary64) a))))) |
| 9.0ms | b |
| 8.0ms | (*.f64 b b) |
| 8.0ms | (-.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 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | a |
| 99.9% | 2 | b |
| 98.8% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 98.8% | 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 3 binary64) a))))) |
| 99.9% | 2 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* 4 a) 12)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal 4 binary64)) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))) |
4 calls:
| 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 3 binary64) a))))) |
| 6.0ms | b |
| 6.0ms | (*.f64 b 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 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 87.4% | 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 3 binary64) a))))) |
| 98.4% | 2 | b |
| 98.4% | 2 | (*.f64 b b) |
Compiled 60 to 40 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
3 calls:
| 22.0ms | a |
| 5.0ms | b |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 3 | a |
| 95.4% | 2 | b |
| 95.4% | 2 | (*.f64 b b) |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
2 calls:
| 4.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | b |
| 95.4% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
5 calls:
| 4.0ms | b |
| 4.0ms | a |
| 3.0ms | (+.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 3 binary64) a))))) |
| 3.0ms | (*.f64 b b) |
| 3.0ms | (-.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 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 73.6% | 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 3 binary64) a))))) |
| 89.5% | 3 | a |
| 84.9% | 2 | b |
| 84.9% | 2 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | a |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* 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) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
5 calls:
| 3.0ms | (*.f64 b b) |
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (+.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 3 binary64) a))))) |
| 3.0ms | (-.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 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 61.5% | 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 3 binary64) a))))) |
| 72.2% | 2 | b |
| 72.2% | 2 | (*.f64 b b) |
| 75.6% | 3 | a |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* b b) (+ (* 4 a) 12)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
3 calls:
| 3.0ms | b |
| 3.0ms | a |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.2% | 2 | b |
| 72.2% | 2 | (*.f64 b b) |
| 72.6% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
5 calls:
| 2.0ms | (*.f64 b b) |
| 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 3 binary64) a))))) |
| 1.0ms | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 56.4% | 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 3 binary64) a))))) |
| 56.4% | 1 | a |
| 56.4% | 1 | b |
| 56.4% | 1 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #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 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.8% | 1 | b |
| 28.8% | 1 | (*.f64 b b) |
| 28.8% | 1 | a |
| 28.8% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 28.8% | 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 3 binary64) a))))) |
Compiled 61 to 42 computations (31.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.690150515206009e-49 | 9.064731821587384e-48 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9376034377366944e-18 | 4.5805156793313634e-18 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 805699.6820520466 | 1055544.7026369942 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 805699.6820520466 | 1055544.7026369942 |
Compiled 30 to 22 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 8.230670025980338e+141 | 3.600505468157296e+153 |
| 18.0ms | -3.9870825519725897e+90 | -4.271656784874614e+87 |
| 26.0ms | 288× | 0 | valid |
Compiled 1 586 to 974 computations (38.6% saved)
ival-mult: 8.0ms (42.7% of total)ival-add: 5.0ms (26.7% of total)ival-pow2: 3.0ms (16% of total)ival-sub: 2.0ms (10.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.230670025980338e+141 | 3.600505468157296e+153 |
| 1.0ms | -3.9870825519725897e+90 | -4.271656784874614e+87 |
Compiled 1 586 to 974 computations (38.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.230670025980338e+141 | 3.600505468157296e+153 |
| 1.0ms | -3.9870825519725897e+90 | -4.271656784874614e+87 |
Compiled 1 676 to 1 028 computations (38.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.055561691552569e+280 | 1.5209509547784365e+298 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1050 |
| 1 | 136 | 1050 |
| 2 | 299 | 1050 |
| 3 | 765 | 1036 |
| 4 | 1927 | 1036 |
| 5 | 3876 | 1022 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 b b) #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -3949999999999999816727049760464936504810517044453442480938178429353434040075389363984269312 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -3949999999999999816727049760464936504810517044453442480938178429353434040075389363984269312 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -3949999999999999816727049760464936504810517044453442480938178429353434040075389363984269312 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 b b) #s(literal 5265614583427859/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) 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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #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) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -3949999999999999816727049760464936504810517044453442480938178429353434040075389363984269312 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -3949999999999999816727049760464936504810517044453442480938178429353434040075389363984269312 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -3949999999999999816727049760464936504810517044453442480938178429353434040075389363984269312 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 2399999999999999924931881842025423395402535718152583729273141116877117858029220631917544320143013831662842916088279790626860013344253052134376031293276160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1534 |
| 1 | 900 | 1467 |
| 2 | 2753 | 1410 |
| 3 | 7580 | 1408 |
| 0 | 8208 | 1248 |
| 0 | 47 | 475 |
| 0 | 66 | 475 |
| 1 | 357 | 475 |
| 2 | 3125 | 475 |
| 0 | 8465 | 435 |
| 0 | 191 | 980 |
| 1 | 599 | 947 |
| 2 | 1876 | 917 |
| 3 | 5825 | 884 |
| 0 | 8215 | 794 |
| 0 | 42 | 383 |
| 0 | 68 | 383 |
| 1 | 376 | 383 |
| 2 | 3433 | 383 |
| 0 | 9678 | 359 |
| 0 | 256 | 1497 |
| 1 | 814 | 1442 |
| 2 | 2559 | 1374 |
| 3 | 6892 | 1354 |
| 0 | 8221 | 1193 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 937 to 678 computations (65% saved)
(abs b)
Compiled 2 402 to 304 computations (87.3% saved)
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