
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 33 to 20 computations (39.4% saved)
| 905.0ms | 8 256× | 0 | valid |
ival-mult: 311.0ms (44.4% of total)ival-add: 154.0ms (22% of total)ival-pow2: 126.0ms (18% of total)ival-sub: 87.0ms (12.4% of total)exact: 12.0ms (1.7% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 53 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 28 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| 25 | 0 | - | 1 | (-2.3028337882342476e+162 -1.876655558130436e-155) | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | nan-rescue | 53 | 0 |
| ↳ | (*.f64 b b) | overflow | 59 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 164 | |
| ↳ | (*.f64 a a) | overflow | 69 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 116 | |
| ↳ | (*.f64 b b) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 87 | |
| ↳ | (*.f64 a a) | overflow | 69 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 75 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | overflow | 134 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) | overflow | 134 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | nan-rescue | 28 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 87 | |
| ↳ | (*.f64 a a) | overflow | 69 | |
| ↳ | (*.f64 b b) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 75 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 68 | 0 |
| - | 0 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 68 | 0 | 0 |
| - | 0 | 0 | 188 |
| number | freq |
|---|---|
| 0 | 188 |
| 1 | 55 |
| 2 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 458× | 0 | valid |
| 9.0ms | 26× | 2 | valid |
| 7.0ms | 28× | 1 | valid |
Compiled 488 to 80 computations (83.6% saved)
ival-add: 22.0ms (37.2% of total)ival-mult: 20.0ms (33.8% of total)ival-sub: 6.0ms (10.2% of total)ival-pow2: 6.0ms (10.2% of total)adjust: 3.0ms (5.1% of total)ival-true: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 159 |
| 1 | 171 | 157 |
| 2 | 671 | 155 |
| 3 | 2845 | 155 |
| 4 | 6808 | 155 |
| 0 | 19 | 31 |
| 0 | 32 | 31 |
| 1 | 70 | 31 |
| 2 | 188 | 31 |
| 3 | 587 | 31 |
| 4 | 1955 | 31 |
| 5 | 3491 | 31 |
| 0 | 8062 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 31 to 19 computations (38.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.3% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
Compiled 31 to 19 computations (38.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 151 |
| 0 | 32 | 151 |
| 1 | 70 | 151 |
| 2 | 188 | 151 |
| 3 | 587 | 151 |
| 4 | 1955 | 151 |
| 5 | 3491 | 151 |
| 0 | 8062 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (fma.f64 a a a) a) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 5.263068315896855 | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 6.242160665792676 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| accuracy | 10.570312500000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 26.0ms | 229× | 0 | valid |
| 4.0ms | 13× | 2 | valid |
| 3.0ms | 14× | 1 | valid |
Compiled 304 to 40 computations (86.8% saved)
ival-mult: 10.0ms (44.1% of total)ival-add: 5.0ms (22% of total)ival-sub: 3.0ms (13.2% of total)ival-pow2: 3.0ms (13.2% of total)adjust: 2.0ms (8.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 1.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1709 | 713 |
| 3 | 5147 | 699 |
| 0 | 8231 | 625 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) a) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) b (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(* -3 (* a (pow b 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 0 | 30 | 78 |
| 1 | 128 | 78 |
| 2 | 1075 | 78 |
| 0 | 8435 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 4 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) |
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(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 (neg.f64 a) a))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))) |
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(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b)) |
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(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 a a)) |
(fma.f64 b b (*.f64 a a)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b b)) |
(fma.f64 a a (*.f64 b b)) |
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(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) (*.f64 (fma.f64 a a a) a)) (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))) |
(/.f64 (neg.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))))) (neg.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 (neg.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))))) (neg.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 (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 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (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 33 331 to 2 755 computations (91.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 13 | 545 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 533 | 13 | 546 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) | |
| 73.3% | (-.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) | |
| 82.0% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) | |
| ▶ | 89.8% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
| ▶ | 73.4% | (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| ▶ | 72.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| 82.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| ▶ | 49.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 67.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| 81.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| 65.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 64.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 68.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
Compiled 1 186 to 718 computations (39.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| cost-diff | 128 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 a a a) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 823 |
| 0 | 111 | 806 |
| 1 | 204 | 792 |
| 2 | 423 | 792 |
| 3 | 1184 | 792 |
| 4 | 3648 | 792 |
| 5 | 5613 | 792 |
| 0 | 8718 | 755 |
| 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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(*.f64 b b) |
b |
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
#s(literal -12 binary64) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
a |
#s(literal 4 binary64) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
#s(literal -12 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 b 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))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
#s(literal 2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (-.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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) 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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) |
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b) |
(*.f64 b b) |
b |
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
#s(literal -12 binary64) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
a |
#s(literal 4 binary64) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
#s(literal -12 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 b 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))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
#s(literal 2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (fma.f64 a a a) a) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.784282796805992 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| accuracy | 5.263068315896855 | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 6.242160665792676 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| accuracy | 10.570312500000002 | (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | |
| accuracy | 0.5195271216604116 | (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))) | |
| accuracy | 3.0000000000000004 | (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 4.741314046805992 | (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) | |
| accuracy | 13.845416560561183 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 8.791347509768443 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 27.815732420625224 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) | |
| accuracy | 5.30487230046011 | (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) | |
| accuracy | 24.124988776898583 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) | |
| accuracy | 0.12109375 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) | |
| accuracy | 10.570312500000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) | |
| accuracy | 28.602258855460434 | #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) |
| 83.0ms | 229× | 0 | valid |
| 50.0ms | 13× | 1 | valid |
| 10.0ms | 11× | 2 | valid |
| 3.0ms | 3× | 3 | valid |
Compiled 1 496 to 117 computations (92.2% saved)
ival-mult: 82.0ms (69.3% of total)ival-add: 18.0ms (15.2% of total)ival-pow: 7.0ms (5.9% of total)adjust: 5.0ms (4.2% of total)ival-sub: 3.0ms (2.5% of total)ival-pow2: 3.0ms (2.5% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 a a a) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) |
(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))) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(pow b 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 b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
4 |
(+ 4 (* -12 a)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
1 |
(+ 1 (* -3 a)) |
b |
(+ b (* -3 (* a b))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(+ (* (pow a 2) (+ 4 (* 2 (pow b 2)))) (pow b 4)) |
(+ (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) (pow b 4)) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* 4 (pow a 3)) |
(* (pow a 3) (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))))) |
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))))) |
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) a)) (+ (* 4 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))))) |
(* -12 a) |
(* a (- (* 4 (/ 1 a)) 12)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 a) |
(* a (- (/ 1 a) 3)) |
(* -3 (* a b)) |
(* a (+ (* -3 b) (/ b a))) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 2) (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))))) |
(* (pow a 3) (+ 4 (+ (* 2 (/ (pow b 2) a)) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow b 2)) (pow b 4)) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) a)) 4))) |
(* -1 (* a (- 12 (* 4 (/ 1 a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (- 3 (/ 1 a)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) a)) 4))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 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 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 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 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2)))))) |
(+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2)))))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* b (+ 1 (* -3 a))) |
(* a (+ 4 (* 4 a))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* 4 a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* 4 a)))) |
(+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4))))))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* 4 a))) (pow b 2)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4))))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (+ (* -12 a) 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* -3 a) 1) b) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4)) (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) 2) (* a a)) a)) |
| 4.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (+ (* -12 a) 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* -3 a) 1) b) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4)) (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) 2) (* a a)) a)) |
| 4.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (+ (* -12 a) 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* -3 a) 1) b) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4)) (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) 2) (* a a)) a)) |
| 4.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (+ (* -12 a) 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* -3 a) 1) b) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4)) (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) 2) (* a a)) a)) |
| 3.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (+ (* -12 a) 4) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* -3 a) 1) b) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4)) (* (* b b) (- 1 (* 3 a))) (* (+ (* (* b b) 2) (* a a)) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 1902 |
| 1 | 1137 | 1849 |
| 2 | 3584 | 1775 |
| 0 | 8392 | 1602 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(pow b 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 b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
4 |
(+ 4 (* -12 a)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
1 |
(+ 1 (* -3 a)) |
b |
(+ b (* -3 (* a b))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(+ (* (pow a 2) (+ 4 (* 2 (pow b 2)))) (pow b 4)) |
(+ (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) (pow b 4)) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* 4 (pow a 3)) |
(* (pow a 3) (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))))) |
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))))) |
(* (pow a 3) (+ 4 (+ (* -12 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) a)) (+ (* 4 (/ (pow b 2) (pow a 3))) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))))) |
(* -12 a) |
(* a (- (* 4 (/ 1 a)) 12)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 a) |
(* a (- (/ 1 a) 3)) |
(* -3 (* a b)) |
(* a (+ (* -3 b) (/ b a))) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 2) (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))))) |
(* (pow a 3) (+ 4 (+ (* 2 (/ (pow b 2) a)) (+ (* 4 (/ 1 a)) (/ (pow b 4) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow b 2)) (pow b 4)) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) a)) 4))) |
(* -1 (* a (- 12 (* 4 (/ 1 a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (- 3 (/ 1 a)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2)))) a)) 4))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 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 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 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 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2)))))) |
(+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2)))))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* b (+ 1 (* -3 a))) |
(* a (+ 4 (* 4 a))) |
(+ (* 2 (* a (pow b 2))) (* a (+ 4 (* 4 a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 2) (+ 4 (* 4 a)))) |
(+ (* (pow a 2) (+ 4 (* 4 a))) (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4))))))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* 4 a))) (pow b 2)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4))))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 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.f64 b #s(literal 4 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a (*.f64 #s(literal -12 binary64) (*.f64 b b))) a #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) #s(literal 2 binary64)) a) a (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 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -12 a)) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
b |
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(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
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(* a (+ 4 (* 2 (pow b 2)))) |
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(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
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(pow a 4) |
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(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
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(* -1 (* a (- 3 (/ 1 a)))) |
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(*.f64 (fma.f64 a (-.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 b (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b b)) |
(* (pow b 2) (+ (* 2 a) (/ (* a (+ 4 (* 4 a))) (pow b 2)))) |
(*.f64 (*.f64 a (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 2 binary64))) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (* (pow a 2) (+ 4 (* 4 a))) (pow b 4))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 590 |
| 0 | 109 | 576 |
| 1 | 456 | 565 |
| 2 | 3744 | 565 |
| 0 | 9483 | 523 |
| 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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 a a a) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) |
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) |
(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))) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (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))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64)) (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))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 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))))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.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 -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) #s(literal 4 binary64))) |
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(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a) a)) |
(*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) |
(*.f64 b (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 #s(literal -3 binary64) a #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 a a)))) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 a a) (fma.f64 #s(literal 3 binary64) a #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b) (*.f64 #s(literal 1 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 b b) #s(literal 1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 b b) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) a))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) |
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
Compiled 73 397 to 4 631 computations (93.7% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 15 | 965 |
| Fresh | 6 | 2 | 8 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 961 | 17 | 978 |
| Status | Accuracy | Program |
|---|---|---|
| 89.8% | (-.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) | |
| 67.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| 65.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 66.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) | |
| ▶ | 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| ▶ | 68.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| 67.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 b (/.f64 b a) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64)) | |
| 74.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))) #s(literal 1 binary64)) | |
| 39.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) | |
| ▶ | 50.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 36.1% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) | |
| 66.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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))) | |
| 81.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) | |
| ▶ | 90.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) |
| ▶ | 75.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
| 67.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| 68.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
Compiled 1 694 to 1 018 computations (39.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) | |
| cost-diff | 320 | (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) | |
| cost-diff | 320 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 #s(literal 4 binary64) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 a a) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) | |
| cost-diff | 320 | (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)) | |
| cost-diff | 320 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 693 |
| 0 | 91 | 686 |
| 1 | 201 | 675 |
| 2 | 475 | 671 |
| 3 | 1302 | 671 |
| 4 | 4073 | 662 |
| 5 | 6200 | 662 |
| 0 | 8073 | 598 |
| 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) |
(*.f64 a a) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)))) |
(*.f64 b b) |
b |
(fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) |
#s(approx (+ (* -12 a) 4) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(*.f64 b b) |
b |
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))) |
a |
#s(literal -12 binary64) |
(+.f64 #s(literal 4 binary64) (*.f64 b b)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) |
(*.f64 a a) |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(*.f64 a a) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b) |
(*.f64 b b) |
b |
(fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) |
#s(approx (+ (* -12 a) 4) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(*.f64 b b) |
b |
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
a |
#s(literal -12 binary64) |
(+.f64 #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 b b #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(*.f64 a a) |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
#s(literal -3 binary64) |
#s(literal 1 binary64) |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 7.333583230228288 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 10.118094029570221 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 4 binary64) (*.f64 b b)) | |
| accuracy | 5.30487230046011 | (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))) | |
| accuracy | 24.124988776898583 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) | |
| accuracy | 0.0078125 | (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) | |
| accuracy | 5.30487230046011 | (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)))) | |
| accuracy | 24.124988776898583 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) | |
| accuracy | 30.77650431805298 | #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)) | |
| accuracy | 0.00390625 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.014003759768442016 | (*.f64 (*.f64 a a) #s(literal 4 binary64)) | |
| accuracy | 13.440942916241058 | #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) | |
| accuracy | 27.815732420625224 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 7.364833230228288 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)) |
| 134.0ms | 229× | 0 | valid |
| 11.0ms | 11× | 2 | valid |
| 9.0ms | 13× | 1 | valid |
| 4.0ms | 3× | 3 | valid |
Compiled 1 259 to 119 computations (90.5% saved)
ival-mult: 36.0ms (46% of total)ival-add: 25.0ms (32% of total)adjust: 5.0ms (6.4% of total)ival-pow: 4.0ms (5.1% of total)ival-sub: 3.0ms (3.8% of total)ival-pow2: 3.0ms (3.8% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)))) |
(*.f64 b b) |
(+.f64 #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
#s(approx (+ (* -12 a) 4) #s(literal 4 binary64)) |
(fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
| Outputs |
|---|
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
4 |
(+ 4 (* -12 a)) |
(+ 4 (* a (- (* 2 a) 12))) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(* a (- (* 4 (/ 1 a)) 12)) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (- 12 (* 4 (/ 1 a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(* 4 (+ 1 (* -3 a))) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 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 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(pow b 2) |
-1 |
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1) |
(- (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) 1) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | ((+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (+ (* 4 (+ (* -3 a) 1)) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* a a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (+ 4 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* a -12) (+ 4 (* b b)))) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* -12 a) 4) (+ (* b b) (+ (* -12 a) 4)) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) |
| 3.0ms | b | @ | -inf | ((+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (+ (* 4 (+ (* -3 a) 1)) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* a a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (+ 4 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* a -12) (+ 4 (* b b)))) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* -12 a) 4) (+ (* b b) (+ (* -12 a) 4)) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) |
| 3.0ms | a | @ | -inf | ((+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (+ (* 4 (+ (* -3 a) 1)) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* a a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (+ 4 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* a -12) (+ 4 (* b b)))) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* -12 a) 4) (+ (* b b) (+ (* -12 a) 4)) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) |
| 2.0ms | a | @ | inf | ((+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (+ (* 4 (+ (* -3 a) 1)) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* a a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (+ 4 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* a -12) (+ 4 (* b b)))) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* -12 a) 4) (+ (* b b) (+ (* -12 a) 4)) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) |
| 2.0ms | b | @ | 0 | ((+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (+ (* 4 (+ (* -3 a) 1)) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* a a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (+ 4 (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* a -12) (+ 4 (* b b)))) (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* -12 a) 4) (+ (* b b) (+ (* -12 a) 4)) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 281 | 1747 |
| 1 | 919 | 1649 |
| 2 | 2869 | 1531 |
| 3 | 7631 | 1529 |
| 0 | 8138 | 1348 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
4 |
(+ 4 (* -12 a)) |
(+ 4 (* a (- (* 2 a) 12))) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(* a (- (* 4 (/ 1 a)) 12)) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2)))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (- 12 (* 4 (/ 1 a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(* 4 (+ 1 (* -3 a))) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 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 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(pow b 2) |
-1 |
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1) |
(- (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) 1) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2)))) |
| Outputs |
|---|
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -12 a)) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- (* 2 a) 12))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a))) a) a) |
(* -12 a) |
(*.f64 #s(literal -12 binary64) a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(*.f64 (fma.f64 (/.f64 b a) b (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* -12 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal -12 binary64)) a) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a) |
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 a a)) |
(* a (- (* 4 (/ 1 a)) 12)) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a) |
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) (/.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) a) a)) a) a) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) a) a)) (*.f64 a a)) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)) a) a) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a (*.f64 #s(literal -12 binary64) a)) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a) |
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 a a)) |
(* -1 (* a (- 12 (* 4 (/ 1 a))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) a) a) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (fma.f64 (*.f64 #s(literal 12 binary64) b) b (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) a)) (neg.f64 a))) a) a) |
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(* 4 (+ 1 (* -3 a))) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
(+ (* 4 (+ 1 (* -3 a))) (pow b 2)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(pow b 2) |
(*.f64 b b) |
-1 |
#s(literal -1 binary64) |
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b 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 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.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)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 608 |
| 0 | 91 | 600 |
| 1 | 482 | 590 |
| 2 | 4229 | 590 |
| 0 | 8180 | 525 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64)))) |
(*.f64 b b) |
(+.f64 #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) |
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
#s(approx (+ (* -12 a) 4) #s(literal 4 binary64)) |
(fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -12 binary64) a (-.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(fma.f64 (-.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
(fma.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(fma.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))) |
(fma.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 b b)) |
(fma.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) |
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(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (*.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (*.f64 b #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (*.f64 b #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (*.f64 b #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (*.f64 b #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) (*.f64 b #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) |
Compiled 41 108 to 2 416 computations (94.1% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 567 | 14 | 581 |
| Fresh | 6 | 6 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 576 | 22 | 598 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| 67.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 b (/.f64 b a) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64)) | |
| 74.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))) #s(literal 1 binary64)) | |
| ▶ | 39.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
| ✓ | 50.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 66.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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))) | |
| 67.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) | |
| ▶ | 81.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
| ▶ | 68.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| ▶ | 99.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
| 99.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) | |
| 98.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) | |
| 75.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a))) a) a)) (*.f64 b b) #s(literal -1 binary64)))) | |
| 61.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) | |
| 66.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) | |
| 67.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| 46.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 44.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 56.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) | |
| 43.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) | |
| ▶ | 47.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
Compiled 2 481 to 1 429 computations (42.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 615 |
| 0 | 104 | 615 |
| 1 | 223 | 594 |
| 2 | 504 | 594 |
| 3 | 1381 | 594 |
| 4 | 4005 | 588 |
| 5 | 6093 | 588 |
| 0 | 8298 | 556 |
| 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal -12 binary64) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
#s(literal -12 binary64) |
a |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) |
#s(literal 4 binary64) |
a |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
#s(literal -12 binary64) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
a |
#s(literal -12 binary64) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
#s(literal -12 binary64) |
a |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
#s(literal 4 binary64) |
a |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b) |
(*.f64 b b) |
b |
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) |
#s(literal 2 binary64) |
#s(literal -12 binary64) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| accuracy | 3.3945312500000004 | (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| accuracy | 5.30067527524559 | (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) | |
| accuracy | 7.675129445384051 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.07421875 | (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 20.41435136718562 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) | |
| accuracy | 0.0234375 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) | |
| accuracy | 19.748389709886847 | #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)) | |
| accuracy | 27.815732420625224 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 10.118094029570221 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) | |
| accuracy | 25.14594995728398 | #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) | |
| accuracy | 0.01953125 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 5.929523847768402 | (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
| 150.0ms | 238× | 0 | valid |
| 10.0ms | 12× | 1 | valid |
| 6.0ms | 6× | 2 | valid |
Compiled 1 114 to 141 computations (87.3% saved)
ival-add: 76.0ms (53.8% of total)ival-mult: 51.0ms (36.1% of total)adjust: 4.0ms (2.8% of total)ival-pow: 4.0ms (2.8% of total)ival-pow2: 3.0ms (2.1% of total)ival-sub: 2.0ms (1.4% of total)exact: 1.0ms (0.7% 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 b b #s(literal 4 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 4 (pow a 3)) |
(* (pow a 3) (+ 4 (* 4 (/ 1 a)))) |
(* -12 (* a (pow b 2))) |
(* a (- (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (/ 1 a))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(* (pow a 2) (+ 4 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* a (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) 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 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(+ 4 (* a (- (* 2 a) 12))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 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 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (* (pow b 2) (+ 4 (* -12 a))) 1) |
(- (* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) 1) |
(+ 4 (* -12 a)) |
4 |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (* 2 a) 12)) |
(* 4 b) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (+ (* -12 a) (+ (* b b) 4)) (+ (* b b) 4) (+ (* (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) a) (+ (* (* (+ (* b b) 4) b) b) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) (* (* b b) (+ (* 2 a) -12)) (* (+ (* (+ 4 a) a) 4) a) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* 4 a) 4) a) (* (+ (* b b) 4) b)) |
| 4.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (+ (* -12 a) (+ (* b b) 4)) (+ (* b b) 4) (+ (* (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) a) (+ (* (* (+ (* b b) 4) b) b) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) (* (* b b) (+ (* 2 a) -12)) (* (+ (* (+ 4 a) a) 4) a) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* 4 a) 4) a) (* (+ (* b b) 4) b)) |
| 4.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (+ (* -12 a) (+ (* b b) 4)) (+ (* b b) 4) (+ (* (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) a) (+ (* (* (+ (* b b) 4) b) b) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) (* (* b b) (+ (* 2 a) -12)) (* (+ (* (+ 4 a) a) 4) a) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* 4 a) 4) a) (* (+ (* b b) 4) b)) |
| 3.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (+ (* -12 a) (+ (* b b) 4)) (+ (* b b) 4) (+ (* (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) a) (+ (* (* (+ (* b b) 4) b) b) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) (* (* b b) (+ (* 2 a) -12)) (* (+ (* (+ 4 a) a) 4) a) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* 4 a) 4) a) (* (+ (* b b) 4) b)) |
| 3.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) b) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1)) (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (+ (* -12 a) (+ (* b b) 4)) (+ (* b b) 4) (+ (* (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) a) (+ (* (* (+ (* b b) 4) b) b) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* 4 a) (* (* b b) (+ (* 2 a) -12))) (* (* b b) (+ (* 2 a) -12)) (* (+ (* (+ 4 a) a) 4) a) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* 4 a) 4) a) (* (+ (* b b) 4) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 2064 |
| 1 | 1123 | 1980 |
| 2 | 3525 | 1852 |
| 3 | 7767 | 1852 |
| 0 | 8155 | 1642 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 4 (pow a 3)) |
(* (pow a 3) (+ 4 (* 4 (/ 1 a)))) |
(* -12 (* a (pow b 2))) |
(* a (- (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (/ 1 a))) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(* (pow a 2) (+ 4 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(* -1 (* a (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) 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 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(+ 4 (* a (- (* 2 a) 12))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 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 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (* (pow b 2) (+ 4 (* -12 a))) 1) |
(- (* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) 1) |
(+ 4 (* -12 a)) |
4 |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (* 2 a) 12)) |
(* 4 b) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 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) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(+.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(*.f64 b (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 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))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 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 a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(* -12 (pow b 2)) |
(*.f64 #s(literal -12 binary64) (*.f64 b b)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
(+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
-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 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) a) a)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) a) a)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) |
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) |
(*.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (- 2 (* 12 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a) |
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64))) (/.f64 #s(literal 12 binary64) a)) (*.f64 a a)) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) a) a)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (pow a 3)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4 binary64)) |
(* (pow a 3) (+ 4 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -12 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b) |
(* a (- (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (/ 1 a))) |
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a) |
(* -12 a) |
(*.f64 #s(literal -12 binary64) a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(*.f64 (-.f64 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) 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 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) a) a)) (*.f64 a a)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b) |
(* a (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) a) a)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) a) a)) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 4 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))) a) a) |
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)) a) a) |
(* -1 (* a (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))))) |
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a (*.f64 #s(literal -12 binary64) a)) |
(* -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) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 a (fma.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a (/.f64 (*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) 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 (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(*.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a) |
(* -1 (* a (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(* b (+ 4 (* a (- (* 2 a) 12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(+ 4 (* a (- (* 2 a) 12))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) |
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(- (* (pow b 2) (+ 4 (* -12 a))) 1) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(+ 4 (* -12 a)) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) |
(* (pow b 2) (- (* 2 a) 12)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.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)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 4))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) b (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* (pow b 2) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (fma.f64 a (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64)) #s(literal -12 binary64)) (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* a (- (* 2 a) 12))) (pow b 2))) 1))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 548 |
| 0 | 104 | 548 |
| 1 | 527 | 527 |
| 2 | 4725 | 527 |
| 0 | 9116 | 490 |
| 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) |
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) |
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 b b #s(literal 4 binary64)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
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(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 3 binary64))) a) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal -4 binary64))) |
(/.f64 (*.f64 a (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a))) |
(fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) 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)) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 a (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 16 binary64)) a #s(literal -16 binary64)) a) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) a) (fma.f64 (*.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal 16 binary64))))) |
(/.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 16 binary64)) a #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))) |
(/.f64 (*.f64 a (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal 16 binary64))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 #s(literal 4 binary64) a) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 #s(literal 4 binary64) a))) |
(fma.f64 a (*.f64 #s(literal 4 binary64) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 #s(literal 4 binary64) a))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) a) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 a (*.f64 #s(literal 4 binary64) a)) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 #s(literal 4 binary64) a) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 #s(literal 4 binary64) a))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) b) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) b) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (*.f64 b (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) b)) |
(fma.f64 (*.f64 b b) b (*.f64 #s(literal 4 binary64) b)) |
(fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 b (*.f64 b b) (*.f64 #s(literal 4 binary64) b)) |
(fma.f64 b #s(literal 4 binary64) (pow.f64 b #s(literal 3 binary64))) |
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) b)) |
(+.f64 (*.f64 #s(literal 4 binary64) b) (pow.f64 b #s(literal 3 binary64))) |
Compiled 36 870 to 2 311 computations (93.7% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 539 | 8 | 547 |
| Fresh | 5 | 10 | 15 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 1 | 2 |
| Total | 545 | 24 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 39.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
| ✓ | 50.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 66.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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))) | |
| 67.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) | |
| ✓ | 81.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
| ✓ | 68.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| 68.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (+.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| ✓ | 99.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
| 74.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)) a #s(literal -1 binary64)))) | |
| 88.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a #s(literal -1 binary64)))) | |
| 87.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) #s(literal -1 binary64)))) | |
| 99.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) | |
| 61.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) | |
| 66.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) | |
| 67.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| 67.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 (-.f64 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)) (*.f64 b b) #s(literal -1 binary64))) | |
| 81.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) | |
| 46.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 44.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 10.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) | |
| 56.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) | |
| ✓ | 47.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
| 26.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
Compiled 4 135 to 1 134 computations (72.6% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (+.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 (-.f64 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 (fma.f64 b (/.f64 b a) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))) a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 (*.f64 a a) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) -12) a) (+ (* b b) 4)) b) (*.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal -12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a))) a) a)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
5 calls:
| 16.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 13.0ms | a |
| 13.0ms | b |
| 11.0ms | (*.f64 b b) |
| 11.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.9% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (+.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 (-.f64 (fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (+ (* -12 a) 4) (* b b)) (+ (* (* (+ (* 4 a) (+ (* (* b b) 2) 4)) a) a) (pow b 4))) (fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
5 calls:
| 39.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 7.0ms | a |
| 7.0ms | b |
| 7.0ms | (*.f64 b b) |
| 6.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 99.4% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 99.4% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (+.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) #s(literal -1 binary64)))) |
5 calls:
| 10.0ms | (*.f64 b b) |
| 6.0ms | a |
| 6.0ms | b |
| 5.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 5.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | a |
| 98.8% | 2 | b |
| 87.0% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 87.0% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 98.8% | 2 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (+.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 b b))))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
3 calls:
| 10.0ms | (*.f64 b b) |
| 5.0ms | b |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 3 | a |
| 94.6% | 2 | b |
| 94.6% | 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
5 calls:
| 6.0ms | a |
| 3.0ms | b |
| 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 3.0ms | (*.f64 b b) |
| 3.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 73.8% | 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 83.5% | 2 | b |
| 83.5% | 2 | (*.f64 b b) |
| 88.2% | 3 | a |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* -12 a) (+ (* b b) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) #s(literal -12 binary64)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
5 calls:
| 4.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 57.7% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 69.0% | 2 | b |
| 69.0% | 2 | (*.f64 b b) |
| 69.4% | 3 | a |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
5 calls:
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.1% | 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 47.1% | 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 47.1% | 1 | a |
| 47.1% | 1 | b |
| 47.1% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.0% | 1 | a |
| 26.0% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 26.0% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 26.0% | 1 | b |
| 26.0% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9851670981148954 | 125.08096875345755 |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.006419844633979e+70 | 1.0303164782228064e+78 |
| 23.0ms | -3.321533590705488e+38 | -1.5058091592554107e+33 |
| 36.0ms | 288× | 0 | valid |
Compiled 2 032 to 1 211 computations (40.4% saved)
ival-mult: 12.0ms (50.4% of total)ival-add: 5.0ms (21% of total)ival-sub: 3.0ms (12.6% of total)ival-pow2: 3.0ms (12.6% 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 |
|---|---|---|
| 4.0ms | 1.006419844633979e+70 | 1.0303164782228064e+78 |
| 1.0ms | -3.321533590705488e+38 | -1.5058091592554107e+33 |
Compiled 1 978 to 1 175 computations (40.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.2091018139942553e+98 | 1.1202735204720865e+99 |
| 11.0ms | -4.964378558957989e+153 | -1.4179688933659834e+153 |
| 17.0ms | 176× | 0 | valid |
Compiled 1 064 to 656 computations (38.3% saved)
ival-mult: 6.0ms (46.1% of total)ival-add: 3.0ms (23% of total)ival-sub: 2.0ms (15.4% of total)ival-pow2: 2.0ms (15.4% 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 |
|---|---|---|
| 20.0ms | 3.740002369468699e+147 | 1.9030337930304216e+155 |
| 1.0ms | -4.964378558957989e+153 | -1.4179688933659834e+153 |
| 14.0ms | 144× | 0 | valid |
Compiled 1 322 to 821 computations (37.9% saved)
ival-mult: 5.0ms (47.8% of total)ival-add: 2.0ms (19.1% of total)ival-sub: 1.0ms (9.6% of total)ival-pow2: 1.0ms (9.6% 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 | 4.819550947028578e+291 | 4.973126045132667e+304 |
Compiled 32 to 23 computations (28.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1215 |
| 1 | 132 | 1215 |
| 2 | 136 | 1215 |
| 3 | 143 | 1215 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -154999999999999993293543059901906944 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 205000000000000011037705606048771054966599186101764041834385276414197760 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))))) |
(if (<=.f64 a #s(literal -154999999999999993293543059901906944 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 205000000000000011037705606048771054966599186101764041834385276414197760 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))))) |
(if (<=.f64 a #s(literal -4799999999999999849863763684050846790805071436305167458546282233754235716058441263835088640286027663325685832176559581253720026688506104268752062586552320 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1099999999999999891219702226063520241754664998505252021119501492963193383570935283660703160105697280 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)))) |
(if (<=.f64 a #s(literal -4799999999999999849863763684050846790805071436305167458546282233754235716058441263835088640286027663325685832176559581253720026688506104268752062586552320 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -154999999999999993293543059901906944 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 205000000000000011037705606048771054966599186101764041834385276414197760 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))))) |
(if (<=.f64 a #s(literal -154999999999999993293543059901906944 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 205000000000000011037705606048771054966599186101764041834385276414197760 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (+ (* 4 (+ (* -3 a) 1)) (* b b))) (* b b)) -1) #s(literal -1 binary64)))))) |
(if (<=.f64 a #s(literal -4799999999999999849863763684050846790805071436305167458546282233754235716058441263835088640286027663325685832176559581253720026688506104268752062586552320 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1099999999999999891219702226063520241754664998505252021119501492963193383570935283660703160105697280 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)))) |
(if (<=.f64 a #s(literal -4799999999999999849863763684050846790805071436305167458546282233754235716058441263835088640286027663325685832176559581253720026688506104268752062586552320 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 1902 |
| 1 | 1137 | 1849 |
| 2 | 3584 | 1775 |
| 0 | 8392 | 1602 |
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1709 | 713 |
| 3 | 5147 | 699 |
| 0 | 8231 | 625 |
| 0 | 339 | 2064 |
| 1 | 1123 | 1980 |
| 2 | 3525 | 1852 |
| 3 | 7767 | 1852 |
| 0 | 8155 | 1642 |
| 0 | 281 | 1747 |
| 1 | 919 | 1649 |
| 2 | 2869 | 1531 |
| 3 | 7631 | 1529 |
| 0 | 8138 | 1348 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 756 to 521 computations (70.3% saved)
(abs b)
Compiled 2 606 to 346 computations (86.7% saved)
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