
Time bar (total: 7.6s)
| 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)
| 942.0ms | 8 256× | 0 | valid |
ival-mult: 300.0ms (45.6% of total)ival-add: 152.0ms (23.1% of total)ival-sub: 103.0ms (15.7% of total)ival-pow2: 81.0ms (12.3% of total)exact: 11.0ms (1.7% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 56 | 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))))) |
| 42 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 19 | 0 | - | 4 | (2.958469456491014e+278 1.8859843245475973e-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 | 56 | 0 |
| ↳ | (*.f64 b b) | overflow | 71 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 166 | |
| ↳ | (*.f64 a a) | overflow | 66 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 121 | |
| ↳ | (*.f64 b b) | overflow | 71 | |
| ↳ | (*.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 | 143 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 141 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 88 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 95 | |
| ↳ | (*.f64 a a) | overflow | 66 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 42 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 95 | |
| ↳ | (*.f64 a a) | overflow | 66 | |
| ↳ | (*.f64 b b) | overflow | 71 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 88 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 76 | 0 |
| - | 0 | 180 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 76 | 0 | 0 |
| - | 0 | 0 | 180 |
| number | freq |
|---|---|
| 0 | 180 |
| 1 | 54 |
| 2 | 22 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 512× | 0 | valid |
Compiled 305 to 58 computations (81% saved)
ival-mult: 23.0ms (53.1% of total)ival-add: 9.0ms (20.8% of total)ival-sub: 5.0ms (11.5% of total)ival-pow2: 5.0ms (11.5% of total)ival-true: 1.0ms (2.3% of total)exact: 1.0ms (2.3% 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 |
|---|---|---|
| ▶ | 70.2% | (-.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)) |
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 | 0.12890625 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 3.6209166103298367 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 9.48432958826453 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| accuracy | 11.156250000000002 | (+.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))))) |
| 34.0ms | 256× | 0 | valid |
Compiled 138 to 20 computations (85.5% saved)
ival-add: 10.0ms (42.2% 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 |
|---|---|---|
| 49.7% | (-.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)) | |
| ▶ | 69.9% | (-.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)) |
| 68.2% | (-.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)) | |
| 69.1% | (-.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)) | |
| ▶ | 82.9% | #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)))) |
| ▶ | 94.0% | #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)))) |
| 69.1% | #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))) | |
| ▶ | 69.8% | #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))) |
| ▶ | 68.8% | #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 | 0.11093259254663357 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 24.048010114396565 | #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 | 0.0625 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| accuracy | 2.2031250000000004 | (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 | 8.178923040356304 | #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 | 0.00390625 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| accuracy | 0.0703125 | (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 | 19.936168397531112 | #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 | 0.0625 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) | |
| accuracy | 19.268386058321422 | #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 | 0.00390625 | (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) | |
| accuracy | 0.0703125 | (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 | 3.0234375000000004 | (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))) |
| 84.0ms | 256× | 0 | valid |
Compiled 422 to 44 computations (89.6% saved)
ival-mult: 39.0ms (61.3% of total)ival-add: 16.0ms (25.2% of total)ival-pow: 3.0ms (4.7% of total)ival-sub: 2.0ms (3.1% of total)ival-pow2: 2.0ms (3.1% of total)exact: 1.0ms (1.6% 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 | 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))) |
| 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 | 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))) |
| 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 | 748 | 14 | 762 |
| Fresh | 4 | 0 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 755 | 16 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.9% | (-.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)) |
| ▶ | 51.9% | (-.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)) |
| ▶ | 94.0% | #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)))) |
| 80.4% | #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)))) | |
| 69.9% | #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))) | |
| 68.8% | #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))) | |
| ✓ | 69.8% | #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))) |
| 51.9% | #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))) | |
| ▶ | 68.8% | #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)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 40.4% | #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))) | |
| 49.5% | #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)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| ▶ | 87.2% | #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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
| 49.1% | #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))) | |
| 47.6% | #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))) | |
| 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (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)))) | |
| ▶ | 22.1% | #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 1 477 to 859 computations (41.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 | #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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 | #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 | 57 | 612 |
| 0 | 82 | 612 |
| 1 | 185 | 612 |
| 2 | 457 | 585 |
| 3 | 1104 | 582 |
| 4 | 2799 | 582 |
| 5 | 4097 | 582 |
| 0 | 8517 | 559 |
| 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
#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) |
| 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
#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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.2031250000000004 | (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) | |
| accuracy | 2.5874314059739687 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) | |
| accuracy | 8.178923040356304 | #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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 17.112422316141355 | #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) | |
| 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 | 0.0703125 | (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 | 19.936168397531112 | #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 | 0.13827634254663357 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| accuracy | 14.338943471490325 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| accuracy | 24.048010114396565 | #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 | 19.936168397531112 | #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 | 34.19840585397686 | #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 | 0.0703125 | (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 | 3.0234375000000004 | (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))) |
| 78.0ms | 256× | 0 | valid |
Compiled 437 to 50 computations (88.6% saved)
ival-mult: 25.0ms (42.7% of total)ival-add: 22.0ms (37.6% of total)ival-pow2: 5.0ms (8.5% of total)ival-sub: 3.0ms (5.1% of total)ival-pow: 3.0ms (5.1% of total)exact: 1.0ms (1.7% 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.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))) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (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 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)) (* 4 (/ (pow b 2) 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)))) |
(* -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) |
(+ (* 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))) |
(- (+ (* 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)))) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(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))))) |
(* (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)))))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (* 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (* b b)) |
| 2.0ms | 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (* b b)) |
| 2.0ms | 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (* b b)) |
| 2.0ms | a | @ | 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (* b b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 1519 |
| 1 | 821 | 1464 |
| 2 | 2573 | 1398 |
| 3 | 6922 | 1382 |
| 0 | 8232 | 1220 |
| 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))) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (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 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)) (* 4 (/ (pow b 2) 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)))) |
(* -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) |
(+ (* 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))) |
(- (+ (* 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)))) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(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))))) |
(* (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)))))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #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 (*.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 #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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 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 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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))) |
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 (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 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow 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)) |
(* 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)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(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)) |
(*.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 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 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)) (* 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 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) |
(* -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))) |
(+ (* 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.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 b 2)))) (pow a 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) |
(* 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))) |
(- (+ (* 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)) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(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)))) |
(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))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.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 (+.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))) |
(* (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 (+ (* 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)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) b (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 506 |
| 0 | 82 | 503 |
| 1 | 442 | 503 |
| 2 | 3908 | 503 |
| 0 | 9691 | 467 |
| 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.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)) |
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(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64))) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(fma.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(fma.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
(fma.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.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))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(fma.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (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)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(fma.f64 a #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))))) |
(+.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(+.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a))) |
(+.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(+.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal -4 binary64))) |
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) b (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
(*.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 47 004 to 2 041 computations (95.7% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 479 | 4 | 483 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 482 | 17 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.9% | (-.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)) |
| ▶ | 51.9% | (-.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)) |
| ✓ | 94.0% | #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)))) |
| ▶ | 80.4% | #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)))) |
| ▶ | 69.9% | #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))) |
| 68.8% | #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))) | |
| ✓ | 69.8% | #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))) |
| 51.9% | #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))) | |
| ✓ | 68.8% | #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)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 40.4% | #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))) | |
| ▶ | 49.5% | #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)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ▶ | 76.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
| 77.3% | #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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.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)))) | |
| 49.1% | #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))) | |
| 47.6% | #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))) | |
| 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (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)))) | |
| ✓ | 22.1% | #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 1 533 to 873 computations (43.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #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 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 585 |
| 0 | 88 | 585 |
| 1 | 191 | 585 |
| 2 | 434 | 585 |
| 3 | 1028 | 570 |
| 4 | 2499 | 570 |
| 5 | 4093 | 570 |
| 0 | 8046 | 536 |
| 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) #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) |
#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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 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) |
| 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) #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) |
#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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
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 #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.142265002249134 | (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) | |
| accuracy | 8.178923040356304 | #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)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 17.112422316141355 | #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) | |
| accuracy | 29.54726145767777 | #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 12 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| accuracy | 19.268386058321422 | #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 | 0.13671875 | (*.f64 (*.f64 #s(literal 12 binary64) b) b) | |
| accuracy | 14.338943471490325 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) | |
| accuracy | 24.048010114396565 | #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 | 0.0703125 | (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 19.936168397531112 | #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 | 33.42484596394388 | #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) | |
| 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 | 3.0234375000000004 | (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 | 34.19840585397686 | #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
| 100.0ms | 236× | 0 | valid |
| 7.0ms | 9× | 2 | valid |
| 6.0ms | 6× | 3 | valid |
| 3.0ms | 5× | 1 | valid |
Compiled 419 to 53 computations (87.4% saved)
ival-add: 42.0ms (45.6% of total)ival-mult: 36.0ms (39.1% of total)adjust: 4.0ms (4.3% of total)ival-sub: 3.0ms (3.3% of total)ival-pow: 3.0ms (3.3% of total)ival-pow2: 3.0ms (3.3% 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 (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))) |
(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 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(*.f64 b b) |
(*.f64 #s(literal 12 binary64) b) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
| 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) |
(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))) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (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 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)) (* 4 (/ (pow b 2) 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)))) |
(* -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) |
(+ (* 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) |
(* b (+ 12 (pow b 2))) |
(- (+ (* 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)))) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(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))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (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 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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) (* 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* b b) (* 12 b) (* (* (* b b) 2) a)) |
| 3.0ms | 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) (* 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* b b) (* 12 b) (* (* (* b b) 2) a)) |
| 3.0ms | 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) (* 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* b b) (* 12 b) (* (* (* b b) 2) a)) |
| 2.0ms | 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) (* 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* b b) (* 12 b) (* (* (* b b) 2) a)) |
| 2.0ms | 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) (* 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) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* b b) (* 12 b) (* (* (* b b) 2) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 1560 |
| 1 | 852 | 1503 |
| 2 | 2643 | 1437 |
| 3 | 7074 | 1413 |
| 0 | 8434 | 1244 |
| 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) |
(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))) |
(* 4 (pow b 2)) |
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (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 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)) (* 4 (/ (pow b 2) 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)))) |
(* -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) |
(+ (* 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) |
(* b (+ 12 (pow b 2))) |
(- (+ (* 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)))) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(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))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (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 2) (+ (* 2 a) (* 4 (/ a (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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #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 (*.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 #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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 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 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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))) |
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)) |
(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 (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 (fma.f64 b b #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)) |
(* 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)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
(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)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2)))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 2 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 a a))) (*.f64 a a) (*.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) (*.f64 #s(literal 4 binary64) 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)))) |
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (*.f64 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 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)) (* 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 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) |
(* -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))) |
(+ (* 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.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 b 2)))) (pow a 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 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)) |
(* 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) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(- (+ (* 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)) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(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)))) |
(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 (+ (* 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))) |
(* (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 3) |
(pow.f64 b #s(literal 3 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 (/ (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)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 540 |
| 0 | 88 | 537 |
| 1 | 442 | 537 |
| 2 | 3665 | 537 |
| 0 | 8861 | 497 |
| 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) #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))) |
(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 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)) |
(*.f64 b b) |
(*.f64 #s(literal 12 binary64) b) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
| 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 (*.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 (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 (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 (*.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 (-.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))) (pow.f64 (-.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a)) #s(literal -1 binary64))) |
(*.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))) (pow.f64 (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))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal -12 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a)) (-.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (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 (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)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) a) (-.f64 #s(literal 12 binary64) (*.f64 b b)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (-.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (-.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) a) (neg.f64 (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (neg.f64 (fma.f64 b b #s(literal -12 binary64))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) a) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) a) (fma.f64 b b #s(literal -12 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (fma.f64 b b #s(literal -12 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) a) (+.f64 #s(literal 144 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (+.f64 #s(literal 144 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) a) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -4 binary64)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a) #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a)) |
(fma.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(fma.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a)) |
(fma.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.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))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (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 (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(fma.f64 a #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))))) |
(+.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) |
(+.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a))) |
(+.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a)) |
(+.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))) |
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 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))) |
(*.f64 #s(literal 12 binary64) b) |
(*.f64 b #s(literal 12 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) b) |
(*.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) b)) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) a)) |
(*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 b (*.f64 (*.f64 #s(literal 2 binary64) b) a)) |
(*.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) a))) |
(*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
Compiled 35 058 to 1 879 computations (94.6% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 1 | 446 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 446 | 17 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.9% | (-.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)) |
| ✓ | 94.0% | #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)))) |
| ✓ | 80.4% | #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)))) |
| ✓ | 69.9% | #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))) |
| 68.8% | #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))) | |
| ✓ | 69.8% | #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))) |
| 51.9% | #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))) | |
| ✓ | 68.8% | #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)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 40.4% | #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))) | |
| ✓ | 49.5% | #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)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ✓ | 76.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
| 77.3% | #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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.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)))) | |
| 51.9% | #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))) | |
| 49.1% | #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))) | |
| 47.6% | #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))) | |
| 72.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (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)))) | |
| ✓ | 22.1% | #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 2 306 to 677 computations (70.6% 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) (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 (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) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))) |
#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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (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)))) |
#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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.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) (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 #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.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:
| 30.0ms | (-.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)) |
| 9.0ms | b |
| 9.0ms | a |
| 8.0ms | (+.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))))) |
| 8.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | a |
| 99.9% | 2 | b |
| 97.7% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 97.7% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 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) (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 (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) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))) |
#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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* b b) (+ (* b b) 12)) -1)) (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)))) |
| 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)))) |
2 calls:
| 32.0ms | b |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | b |
| 99.9% | 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) (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 (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) (+ (* 2 a) 4)) (* 4 a)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))) |
| Outputs |
|---|
#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))) |
#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)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))) |
2 calls:
| 6.0ms | b |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | b |
| 99.0% | 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) (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 (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)))) |
| Outputs |
|---|
#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))) |
#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)))) |
2 calls:
| 5.0ms | b |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | b |
| 99.0% | 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) (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 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) 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))) |
5 calls:
| 41.0ms | b |
| 5.0ms | a |
| 5.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 4.0ms | (*.f64 b b) |
| 4.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 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)) |
| 80.0% | 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))))) |
| 96.2% | 3 | a |
| 96.7% | 2 | b |
| 96.7% | 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) (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))) |
| 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))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | b |
| 96.7% | 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) (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 |
|---|---|---|
| 96.6% | 2 | b |
| 96.6% | 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) (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))) |
3 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 3 | a |
| 84.8% | 2 | b |
| 84.8% | 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) (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 |
|---|---|---|
| 88.4% | 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) (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:
| 4.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 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))))) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 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)) |
| 58.8% | 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))))) |
| 71.2% | 2 | b |
| 71.2% | 2 | (*.f64 b b) |
| 73.8% | 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)) |
| 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 | a |
| 2.0ms | b |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.2% | 2 | b |
| 71.2% | 2 | (*.f64 b b) |
| 71.1% | 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 (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 | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 51.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 51.9% | 1 | a |
| 51.9% | 1 | b |
| 51.9% | 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 | a |
| 1.0ms | b |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.1% | 1 | b |
| 22.1% | 1 | (*.f64 b b) |
| 22.1% | 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)) |
| 22.1% | 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))))) |
| 22.1% | 1 | a |
Compiled 61 to 42 computations (31.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.048264095942975e-58 | 1.5902193069491285e-55 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.048264095942975e-58 | 1.5902193069491285e-55 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 43658031551.118484 | 15820604890812.492 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 43658031551.118484 | 15820604890812.492 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 43658031551.118484 | 15820604890812.492 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 43658031551.118484 | 15820604890812.492 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 43658031551.118484 | 15820604890812.492 |
Compiled 30 to 22 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.653849019277707e+152 | 1.675737883168364e+163 |
| 31.0ms | -1.9231565131058508e+93 | -2.288355620941168e+74 |
| 39.0ms | 320× | 0 | valid |
Compiled 1 762 to 1 082 computations (38.6% saved)
ival-mult: 9.0ms (41.9% of total)ival-add: 6.0ms (28% of total)ival-sub: 3.0ms (14% of total)ival-pow2: 3.0ms (14% 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 | 5.653849019277707e+152 | 1.675737883168364e+163 |
| 2.0ms | -1.9231565131058508e+93 | -2.288355620941168e+74 |
Compiled 1 762 to 1 082 computations (38.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 5.653849019277707e+152 | 1.675737883168364e+163 |
| 29.0ms | -1.210954035411909e+72 | -1.7047759908877207e+67 |
| 31.0ms | 240× | 0 | valid |
Compiled 1 769 to 1 085 computations (38.7% saved)
ival-pow2: 11.0ms (43.3% of total)ival-mult: 7.0ms (27.5% of total)ival-add: 4.0ms (15.7% of total)ival-sub: 2.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.476571034602834e+298 | 5.228398530568406e+299 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1397 |
| 1 | 199 | 1397 |
| 2 | 428 | 1397 |
| 3 | 929 | 1382 |
| 4 | 2150 | 1382 |
| 5 | 4057 | 1367 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 b b) #s(literal 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104 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 #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.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 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104 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 50000000000 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))) #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)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 50000000000 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))) #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))))) |
(if (<=.f64 (*.f64 b b) #s(literal 50000000000 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))) #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 50000000000 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 50000000000 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 -1899999999999999908728730395802160403895079804376822912499393201277775885304018098918820675584 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 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 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 -1899999999999999908728730395802160403895079804376822912499393201277775885304018098918820675584 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 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 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 -1200000000000000050257830677053749550789720639968405939772113254168395776 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 2300000000000000129636326303256008399606566117502816934629964267623446665344618345018275876919412324473875859201696981535546838259395855195706548325187584 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 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 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 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104 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 #s(approx (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)) (*.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 7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104 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 50000000000 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))) #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)) #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 50000000000 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))) #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))))) |
(if (<=.f64 (*.f64 b b) #s(literal 50000000000 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))) #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 50000000000 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 50000000000 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 -1899999999999999908728730395802160403895079804376822912499393201277775885304018098918820675584 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 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 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 -1899999999999999908728730395802160403895079804376822912499393201277775885304018098918820675584 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 6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 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 -1200000000000000050257830677053749550789720639968405939772113254168395776 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 2300000000000000129636326303256008399606566117502816934629964267623446665344618345018275876919412324473875859201696981535546838259395855195706548325187584 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 100000000000000005250476025520442024870446858110815915491585411551180245798890819578637137508044786404370444383288387817694252323536043057564479218478670698284838720092657580373783023379478809005936895323497079994508111903896764088007465274278014249457925878882005684283811566947219638686545940054016 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 | 256 | 1497 |
| 1 | 814 | 1442 |
| 2 | 2559 | 1374 |
| 3 | 6892 | 1354 |
| 0 | 8221 | 1193 |
| 0 | 191 | 980 |
| 1 | 599 | 947 |
| 2 | 1876 | 917 |
| 3 | 5825 | 884 |
| 0 | 8215 | 794 |
| 0 | 57 | 506 |
| 0 | 82 | 503 |
| 1 | 442 | 503 |
| 2 | 3908 | 503 |
| 0 | 9691 | 467 |
| 0 | 267 | 1560 |
| 1 | 852 | 1503 |
| 2 | 2643 | 1437 |
| 3 | 7074 | 1413 |
| 0 | 8434 | 1244 |
| 0 | 42 | 383 |
| 0 | 68 | 383 |
| 1 | 376 | 383 |
| 2 | 3433 | 383 |
| 0 | 9678 | 359 |
| 0 | 259 | 1519 |
| 1 | 821 | 1464 |
| 2 | 2573 | 1398 |
| 3 | 6922 | 1382 |
| 0 | 8232 | 1220 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 439 to 826 computations (66.1% saved)
(abs b)
Compiled 3 144 to 394 computations (87.5% saved)
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