
Time bar (total: 8.9s)
| 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)
| 2.0s | 8 256× | 0 | valid |
ival-mult: 678.0ms (46.3% of total)ival-sub: 290.0ms (19.8% of total)ival-pow2: 239.0ms (16.3% of total)ival-add: 235.0ms (16.1% of total)exact: 11.0ms (0.8% of total)ival-true: 5.0ms (0.3% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 57 | 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)))))) |
| 45 | 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)))) |
| 17 | 1 | (-9.853470624332835e+283 1.4724362926052374e-304) | 1 | (2.2551232673823213e+247 5.028070331285239e-159) | (*.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 | 57 | 0 |
| ↳ | (*.f64 b b) | overflow | 53 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 153 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 105 | |
| ↳ | (*.f64 b b) | overflow | 53 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 92 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 79 | |
| ↳ | (+.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 | 126 | |
| ↳ | (*.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 | 128 | |
+.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 | 45 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 92 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
| ↳ | (*.f64 b b) | overflow | 53 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 79 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 0 |
| - | 0 | 175 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 0 |
| - | 0 | 0 | 175 |
| number | freq |
|---|---|
| 0 | 175 |
| 1 | 60 |
| 2 | 21 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 480× | 0 | valid |
| 5.0ms | 20× | 1 | valid |
| 4.0ms | 12× | 2 | valid |
Compiled 337 to 61 computations (81.9% saved)
ival-mult: 26.0ms (53.2% of total)ival-add: 10.0ms (20.5% of total)ival-sub: 5.0ms (10.2% of total)ival-pow2: 5.0ms (10.2% of total)adjust: 2.0ms (4.1% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 159 |
| 1 | 171 | 157 |
| 2 | 705 | 155 |
| 3 | 2928 | 155 |
| 4 | 6926 | 155 |
| 0 | 19 | 31 |
| 0 | 32 | 31 |
| 1 | 70 | 31 |
| 2 | 196 | 31 |
| 3 | 596 | 31 |
| 4 | 1960 | 31 |
| 5 | 3484 | 31 |
| 0 | 8178 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 31 to 19 computations (38.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (-.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)) |
Compiled 31 to 19 computations (38.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 1 | (+.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 | 1 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 151 |
| 0 | 32 | 151 |
| 1 | 70 | 151 |
| 2 | 196 | 151 |
| 3 | 596 | 151 |
| 4 | 1960 | 151 |
| 5 | 3484 | 151 |
| 0 | 8178 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (fma.f64 a a a) a) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11947250976844201 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 3.901766725848103 | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 10.035112902434328 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| accuracy | 11.359375000000002 | (+.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)))))) |
| 27.0ms | 240× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
| 2.0ms | 6× | 2 | valid |
Compiled 153 to 21 computations (86.3% saved)
ival-mult: 9.0ms (44.4% of total)ival-add: 4.0ms (19.7% of total)ival-pow2: 3.0ms (14.8% of total)ival-sub: 2.0ms (9.9% of total)adjust: 1.0ms (4.9% 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 | |
|---|---|---|---|---|
| 4.0ms | 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)) |
| 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1717 | 713 |
| 3 | 5212 | 695 |
| 0 | 8392 | 618 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) a) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(fma.f64 a a (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(* -3 (* a (pow b 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 0 | 30 | 78 |
| 1 | 128 | 78 |
| 2 | 1083 | 78 |
| 0 | 8159 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
Compiled 32 813 to 2 710 computations (91.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 5 | 536 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 532 | 5 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 69.6% | (-.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)) |
| ▶ | 74.2% | (-.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)) |
| ▶ | 63.3% | (-.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)) |
| ▶ | 69.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
Compiled 434 to 270 computations (37.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 1 | (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)) | |
| cost-diff | 3 | (*.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))) | |
| 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 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (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)))))) (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)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 592 |
| 0 | 80 | 582 |
| 1 | 164 | 572 |
| 2 | 379 | 572 |
| 3 | 901 | 572 |
| 4 | 2495 | 572 |
| 5 | 5691 | 569 |
| 0 | 8415 | 528 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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)))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
#s(literal -12 binary64) |
a |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #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)))))) (*.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)) |
#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)))) |
(*.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))) |
(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))) |
(/.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 #s(literal 2 binary64) a) |
#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)) |
(/.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(literal 4 binary64) b) |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
| Outputs |
|---|
(-.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)) |
#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))) |
(pow.f64 a #s(literal 4 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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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 #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)))))) (*.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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(*.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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
#s(literal -12 binary64) |
a |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #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 a a a) #s(literal 4 binary64)) 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 a a a) #s(literal 4 binary64)) 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 a a a) #s(literal 4 binary64)) 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)))))) (*.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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))) |
(*.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))) |
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(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))) |
(fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) a) b) |
(*.f64 #s(literal 2 binary64) a) |
#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)) |
(+.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(/.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(literal 4 binary64) b) |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (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)) | |
| accuracy | 5.289037728450044 | (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))) | |
| accuracy | 19.659518337055214 | #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)))) | |
| accuracy | 25.841484551280395 | (*.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))) | |
| accuracy | 0.010097509768442016 | (-.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 | 0.0546875 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 10.968750000000002 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 21.96219767193943 | #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 | 0.0 | (*.f64 b b) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 24.797048458887858 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| accuracy | 3.962147407723489 | (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) | |
| accuracy | 24.62808617624421 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) | |
| accuracy | 0.0 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 0.010097509768442016 | (-.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)) | |
| accuracy | 27.731853675376122 | #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))) |
| 66.0ms | 240× | 0 | valid |
| 28.0ms | 6× | 2 | valid |
| 5.0ms | 10× | 1 | valid |
Compiled 490 to 47 computations (90.4% saved)
adjust: 26.0ms (32.4% of total)ival-mult: 23.0ms (28.7% of total)ival-add: 13.0ms (16.2% of total)ival-div: 6.0ms (7.5% of total)ival-pow: 6.0ms (7.5% of total)ival-sub: 2.0ms (2.5% of total)ival-pow2: 2.0ms (2.5% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.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)) |
#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))) |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #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 (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))) |
(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)) |
(-.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)) |
#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)))) |
(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))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow a 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)) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))) |
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))) |
(+ 1 (* 4 (/ 1 (pow b 2)))) |
(+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) |
(+ 1 (+ (* 4 (/ 1 (pow b 2))) (* a (- (* 2 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))) |
(* (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))))))) |
(* -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))) |
(* 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 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (pow a 2))))) |
(* -12 (/ a (pow b 2))) |
(* a (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2))))) |
(* 2 (/ (pow a 2) (pow b 2))) |
(* (pow a 2) (- (* 2 (/ 1 (pow b 2))) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) (/ 12 (* a (pow b 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))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(* -1 (* a (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))) a)) (* 2 (/ 1 (pow b 2))))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(pow b 2) |
(* 4 (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 b 2)))) |
(* 4 (/ (+ 1 (* -3 a)) (pow b 2))) |
(/ (+ (* 4 (+ 1 (* -3 a))) (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 b 2))) (pow b 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
1 |
(+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))) |
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (* (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1)) (pow b 4)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 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)))))) (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1))) |
| 4.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (* (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1)) (pow b 4)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 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)))))) (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1))) |
| 3.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (* (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1)) (pow b 4)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 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)))))) (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1))) |
| 3.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (* (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1)) (pow b 4)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 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)))))) (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1))) |
| 3.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (+ (* a a) a) a) (* (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1)) (pow b 4)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 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)))))) (+ (* (/ (* 2 a) b) (/ a b)) (+ (* (/ (+ (* -3 a) 1) b) (/ 4 b)) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 1273 |
| 1 | 708 | 1202 |
| 2 | 2188 | 1123 |
| 3 | 7634 | 1123 |
| 0 | 8071 | 1018 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow a 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)) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))) |
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))) |
(+ 1 (* 4 (/ 1 (pow b 2)))) |
(+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) |
(+ 1 (+ (* 4 (/ 1 (pow b 2))) (* a (- (* 2 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))) |
(* (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))))))) |
(* -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))) |
(* 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 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (pow a 2))))) |
(* -12 (/ a (pow b 2))) |
(* a (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2))))) |
(* 2 (/ (pow a 2) (pow b 2))) |
(* (pow a 2) (- (* 2 (/ 1 (pow b 2))) (* 12 (/ 1 (* a (pow b 2)))))) |
(* (pow a 2) (- (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) (/ 12 (* a (pow b 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))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(* -1 (* a (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))) a)) (* 2 (/ 1 (pow b 2))))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(pow b 2) |
(* 4 (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 b 2)))) |
(* 4 (/ (+ 1 (* -3 a)) (pow b 2))) |
(/ (+ (* 4 (+ 1 (* -3 a))) (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 b 2))) (pow b 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
1 |
(+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))) |
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
| 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 (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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 b b) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (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)) (* 4 a)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a)) #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 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 b b) (*.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 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a)) |
(pow a 4) |
(pow.f64 a #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 #s(literal 4 binary64) (fma.f64 a a 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) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) b) a) b (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) |
(+ 1 (* 4 (/ 1 (pow b 2)))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) |
(+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ 1 (pow b 2))) (* a (- (* 2 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 a a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) |
(* (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) a) b) (/.f64 b a) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.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))) |
(* -12 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64)) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) 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 b b) a) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)))) (*.f64 a a)) |
(* -12 (/ a (pow b 2))) |
(*.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64)) |
(* a (- (+ (/ 1 a) (/ 4 (* a (pow b 2)))) (* 12 (/ 1 (pow b 2))))) |
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) a) (/.f64 #s(literal 12 binary64) (*.f64 b b))) a #s(literal 1 binary64)) |
(* 2 (/ (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (/.f64 a (*.f64 b b)) a) #s(literal 2 binary64)) |
(* (pow a 2) (- (* 2 (/ 1 (pow b 2))) (* 12 (/ 1 (* a (pow b 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) a)) (*.f64 a a)) |
(* (pow a 2) (- (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) (/ 12 (* a (pow b 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) a) a)) (/.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) a)) (*.f64 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 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #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 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -12 binary64) b) b (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))) a (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))) |
(* -1 (* a (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))))) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) a))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))) a)) (* 2 (/ 1 (pow b 2))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) a)))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (* (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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (*.f64 b b) #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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (*.f64 b b) #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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) b) b)) |
(+ (* 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 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) b) b)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(pow b 2) |
(*.f64 b b) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) |
(*.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) b) b) |
(* 4 (/ (+ 1 (* -3 a)) (pow b 2))) |
(/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(/ (+ (* 4 (+ 1 (* -3 a))) (pow b 2)) (pow b 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)) |
(/.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (*.f64 b b)) |
(/ (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) (pow b 2)) |
(/.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) (*.f64 b b)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 a a) #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 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 #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 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 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) (*.f64 b b)) (*.f64 a a) #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))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))) |
(+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 a a) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 521 |
| 0 | 80 | 511 |
| 1 | 406 | 501 |
| 2 | 3655 | 497 |
| 0 | 8935 | 453 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (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)))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #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 (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))) |
(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)) |
(-.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)) |
#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)))) |
(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))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.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)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.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)) (pow.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 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.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 (pow.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.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)) (pow.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 2 binary64))) (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.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)) (pow.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 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.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 2 binary64)) (-.f64 #s(literal 1 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 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.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)) (pow.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 2 binary64))))) |
(/.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 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 (-.f64 (pow.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 2 binary64)) #s(literal 1 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(literal -1 binary64) (neg.f64 (/.f64 (+.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 (pow.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 2 binary64)) #s(literal 1 binary64))))) |
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(/.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.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 2 binary64)) (-.f64 #s(literal 1 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))))) |
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(fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (*.f64 (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) b) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (pow.f64 (*.f64 b (*.f64 b #s(literal 1/4 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 a b) (/.f64 (*.f64 #s(literal 2 binary64) a) b) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (/.f64 a b) b) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) (pow.f64 (*.f64 b (/.f64 b a)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b (/.f64 b (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(fma.f64 a (pow.f64 (*.f64 b (/.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 b b)) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64)))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal -2 binary64))))) |
Compiled 36 112 to 2 108 computations (94.2% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 13 | 510 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 501 | 14 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.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) (fma.f64 a a a)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.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) (fma.f64 a a a)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 69.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 53.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) | |
| ✓ | 74.2% | (-.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)) |
| ▶ | 75.3% | (-.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)) |
| 69.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) | |
| ▶ | 74.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| 56.9% | (-.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 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| 42.1% | (-.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 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) | |
| ▶ | 49.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 75.3% | #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))) |
| 69.6% | #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))) | |
| 42.5% | #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))) | |
| 37.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))))) (pow.f64 b #s(literal 4 binary64)))) |
Compiled 1 335 to 749 computations (43.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 b #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 2 | (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 4 binary64) a) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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))) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| cost-diff | 4 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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)))))) (*.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 | 44 | 494 |
| 0 | 64 | 491 |
| 1 | 124 | 485 |
| 2 | 278 | 479 |
| 3 | 761 | 479 |
| 4 | 2236 | 479 |
| 5 | 3785 | 479 |
| 0 | 8091 | 428 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(*.f64 a a) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 #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)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.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)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.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)))))) (*.f64 (*.f64 a a) (*.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)))))) (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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
#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))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(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 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(*.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)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (*.f64 (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)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)) |
(pow.f64 b #s(literal 3 binary64)) |
b |
#s(literal 3 binary64) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 b b) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| accuracy | 24.797048458887858 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) | |
| accuracy | 15.761094334579342 | #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))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 27.731853675376122 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| accuracy | 0.010097509768442016 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 16.273667220149413 | #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| accuracy | 24.797048458887858 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| accuracy | 0.010097509768442016 | (-.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)) | |
| accuracy | 0.0234375 | (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 21.96219767193943 | #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)) |
| 85.0ms | 256× | 0 | valid |
Compiled 393 to 35 computations (91.1% saved)
ival-pow: 26.0ms (37.4% of total)ival-mult: 24.0ms (34.5% of total)ival-add: 9.0ms (12.9% of total)ival-sub: 7.0ms (10.1% of total)ival-pow2: 2.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.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)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(pow.f64 b #s(literal 3 binary64)) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(pow a 4) |
(pow a 2) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
4 |
(+ 4 (* 4 a)) |
(+ 4 (* a (+ 4 a))) |
(+ 4 a) |
(* (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))))) |
(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) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* (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) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* 4 (pow b 2)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(pow b 3) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
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)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (* (* 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)))))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (+ (* (pow b 3) b) (* (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow b 3)) |
| 2.0ms | b | @ | inf | ((- (+ (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)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (* (* 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)))))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (+ (* (pow b 3) b) (* (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow b 3)) |
| 2.0ms | a | @ | inf | ((- (+ (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)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (* (* 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)))))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (+ (* (pow b 3) b) (* (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow b 3)) |
| 2.0ms | a | @ | -inf | ((- (+ (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)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (* (* 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)))))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (+ (* (pow b 3) b) (* (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow b 3)) |
| 1.0ms | b | @ | 0 | ((- (+ (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)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (* (* 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)))))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (+ (* (+ 4 a) a) 4) (+ 4 a) (+ (* (pow b 3) b) (* (* b b) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow b 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 820 |
| 1 | 519 | 797 |
| 2 | 1566 | 752 |
| 3 | 5828 | 736 |
| 0 | 8170 | 654 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(pow a 4) |
(pow a 2) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
4 |
(+ 4 (* 4 a)) |
(+ 4 (* a (+ 4 a))) |
(+ 4 a) |
(* (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))))) |
(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) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* (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) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(* 4 (pow b 2)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(pow b 3) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #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 (*.f64 (fma.f64 b b (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)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (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))) |
(+ (* 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 b b (fma.f64 #s(literal -12 binary64) a #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 #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #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))) |
(* 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) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a 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 (*.f64 (fma.f64 #s(literal 4 binary64) 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)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(* (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) a) b) (/.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 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (-.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))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 4 binary64) a) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(fma.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)) #s(literal -1 binary64)) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 4 binary64) a) a) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(- (+ (* 4 (* (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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #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 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #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 b 2)) |
(*.f64 (*.f64 b 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))) |
(pow b 3) |
(pow.f64 b #s(literal 3 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)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 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))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (+.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)) #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 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 456 |
| 0 | 64 | 447 |
| 1 | 305 | 441 |
| 2 | 2437 | 441 |
| 0 | 8166 | 381 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
(pow.f64 b #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.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)) (+.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))) (/.f64 (-.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(literal 1 binary64))) |
(*.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.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(literal -1 binary64))) |
(*.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.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)) (pow.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 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.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)) (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.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)) (pow.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 2 binary64))) (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(-.f64 (/.f64 (pow.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(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.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(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #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(literal 4 binary64)))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.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(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #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(literal 4 binary64)))) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.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(literal 4 binary64)))) #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 #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.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(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.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(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.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(literal 4 binary64)))) #s(literal 1 binary64)) (pow.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(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.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(literal 4 binary64)))) #s(literal 1 binary64)) (pow.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(literal 4 binary64)))) #s(literal 2 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(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(literal 4 binary64)))) #s(literal -1 binary64)) |
(+.f64 #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(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(literal 4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #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(literal 4 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(literal 4 binary64)))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (*.f64 b b) b) |
(*.f64 b (*.f64 b b)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 b)) |
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64)) |
(pow.f64 b #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3/2 binary64) (*.f64 (log.f64 b) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) |
Compiled 31 667 to 1 658 computations (94.8% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 455 | 9 | 464 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 463 | 15 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| 31.7% | (/.f64 (-.f64 (*.f64 (pow.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(literal 4 binary64)))) #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 #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(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.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(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| ▶ | 53.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
| ✓ | 74.2% | (-.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)) |
| ✓ | 74.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| 69.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 49.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 69.6% | #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))) |
| ▶ | 75.3% | #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 #s(literal -1 binary64))) |
| 69.6% | #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))) | |
| ▶ | 42.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
| 74.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))) | |
| 56.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| 42.5% | #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))) | |
| 58.9% | #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)) -1) (fma.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)) #s(literal -1 binary64)))) | |
| ▶ | 27.3% | #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)) -1) #s(literal -1 binary64))) |
Compiled 1 449 to 738 computations (49.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) (*.f64 (*.f64 a a) (*.f64 a a)))) | |
| 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) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 4 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (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 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #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 #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 410 |
| 0 | 71 | 408 |
| 1 | 138 | 394 |
| 2 | 289 | 383 |
| 3 | 800 | 383 |
| 4 | 2289 | 383 |
| 5 | 3835 | 383 |
| 0 | 8150 | 359 |
| 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 #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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal -1 binary64) |
#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)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(*.f64 a a) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 4 binary64)) |
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)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
a |
#s(literal 4 binary64) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 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(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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal -1 binary64) |
#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)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(*.f64 a a) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 4 binary64)) |
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)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.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 (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)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
#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)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
a |
#s(literal 4 binary64) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 10.968750000000002 | (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| accuracy | 21.96219767193943 | #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) (*.f64 (*.f64 a a) (*.f64 a a)))) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.0703125 | (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 19.442094488937464 | #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))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.04296875 | (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) | |
| accuracy | 15.761094334579342 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) | |
| accuracy | 32.54127077406659 | #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) | |
| accuracy | 15.761094334579342 | #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)) -1) #s(literal -1 binary64))) | |
| accuracy | 33.33445666680742 | #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) | |
| accuracy | 0.021816259768442016 | (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) | |
| accuracy | 15.761094334579342 | #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(literal -1 binary64))) |
| 67.0ms | 256× | 0 | valid |
Compiled 330 to 39 computations (88.2% saved)
ival-mult: 33.0ms (63.6% of total)ival-add: 13.0ms (25% of total)ival-sub: 2.0ms (3.9% of total)ival-pow2: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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 (+.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)) |
#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)) -1) #s(literal -1 binary64))) |
#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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 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))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 4 binary64)) |
(*.f64 b b) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) |
(-.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) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 a a) |
(*.f64 (fma.f64 a a a) a) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
4 |
(+ 4 (* 4 a)) |
(+ 4 (* a (+ 4 a))) |
(pow a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(+ (* 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 a 2) |
(* (pow a 2) (+ 1 a)) |
(* (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))))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* a (+ 4 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(+ 4 (pow b 2)) |
(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 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))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (* 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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ 4 a) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a 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)) -1) (+ (* (+ 4 a) a) 4) (+ (* 4 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (* (* a a) (* a a)) (+ (* (* (+ (* a a) a) 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)))))) (* a a) (* (+ (* a a) a) a)) |
| 2.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ 4 a) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a 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)) -1) (+ (* (+ 4 a) a) 4) (+ (* 4 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (* (* a a) (* a a)) (+ (* (* (+ (* a a) a) 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)))))) (* a a) (* (+ (* a a) a) a)) |
| 2.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ 4 a) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a 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)) -1) (+ (* (+ 4 a) a) 4) (+ (* 4 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (* (* a a) (* a a)) (+ (* (* (+ (* a a) a) 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)))))) (* a a) (* (+ (* a a) a) a)) |
| 1.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ 4 a) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a 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)) -1) (+ (* (+ 4 a) a) 4) (+ (* 4 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (* (* a a) (* a a)) (+ (* (* (+ (* a a) a) 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)))))) (* a a) (* (+ (* a a) a) a)) |
| 1.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) -1) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ 4 a) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* (+ 4 a) a) 4) (* a 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)) -1) (+ (* (+ 4 a) a) 4) (+ (* 4 a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (* (* a a) (* a a)) (+ (* (* (+ (* a a) a) 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)))))) (* a a) (* (+ (* a a) a) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 857 |
| 1 | 541 | 834 |
| 2 | 1640 | 789 |
| 3 | 6189 | 773 |
| 0 | 8291 | 682 |
| 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) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
4 |
(+ 4 (* 4 a)) |
(+ 4 (* a (+ 4 a))) |
(pow a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(+ (* 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 a 2) |
(* (pow a 2) (+ 1 a)) |
(* (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))))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* a (+ 4 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(+ 4 (pow b 2)) |
(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 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))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (* 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))))))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #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 (*.f64 (fma.f64 b b (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)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (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))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* 4 a))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) 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)) |
(* 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 |
#s(literal 4 binary64) |
(+ 4 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #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 a) (*.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a) |
(+ (* 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 b b (fma.f64 #s(literal -12 binary64) a #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 #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 a a a) (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) b) b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(* (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) a) b) (/.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 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (-.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))) |
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4)))) |
(fma.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)) #s(literal -1 binary64)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 4 binary64) a) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 4 binary64) a) a) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) |
(* a (+ 4 (* 4 (/ 1 a)))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 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))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) |
(- (+ (* 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #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 b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(pow 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)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 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))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (+.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)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 387 |
| 0 | 71 | 377 |
| 1 | 326 | 363 |
| 2 | 2597 | 363 |
| 0 | 8556 | 333 |
| 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 #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 (+.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)) |
#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)) -1) #s(literal -1 binary64))) |
#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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) |
#s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 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))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b #s(literal 4 binary64)) |
(*.f64 b b) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) |
(-.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) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 a a) |
(*.f64 (fma.f64 a a a) a) |
| 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(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)) (pow.f64 (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 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)) #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 (neg.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)))) (neg.f64 (-.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 (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 (neg.f64 (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.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 (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 (-.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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #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 (+.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 (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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 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)) (+.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) (neg.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 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)) #s(literal -1 binary64))))) |
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(-.f64 (/.f64 (pow.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) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.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) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.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) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.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) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.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) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 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) #s(literal 4 binary64)) 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 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(+.f64 #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) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64))))) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #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) #s(literal 4 binary64)) a (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 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(*.f64 (fma.f64 a a a) a) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 a a)) |
(*.f64 a (fma.f64 a a a)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 1 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) a)) a)) (neg.f64 (-.f64 (*.f64 a a) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a)) (neg.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 1 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) a)))) (neg.f64 (-.f64 (*.f64 a a) a))) |
(/.f64 (neg.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (*.f64 a (-.f64 a (*.f64 a a))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a)) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 a a)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) a)) a) (-.f64 (*.f64 a a) a)) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 a (-.f64 a (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a a))) (-.f64 #s(literal 1 binary64) a)) |
(/.f64 (*.f64 (*.f64 a a) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 a (*.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) a))) (-.f64 (*.f64 a a) a)) |
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 a (-.f64 a (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 9 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 5 binary64))))) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 a a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a a)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (*.f64 a a)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (*.f64 a a)) |
(fma.f64 a a (pow.f64 a #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (-.f64 a (*.f64 a a)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 a (-.f64 a (*.f64 a a))))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64))) |
Compiled 23 670 to 1 578 computations (93.3% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 384 | 3 | 387 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 2 | 3 |
| Total | 387 | 15 | 402 |
| Status | Accuracy | Program |
|---|---|---|
| 31.7% | (/.f64 (-.f64 (*.f64 (pow.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(literal 4 binary64)))) #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 #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(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.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(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| ✓ | 53.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
| ✓ | 74.2% | (-.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)) |
| ✓ | 74.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| 69.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))))) #s(literal 1 binary64)) | |
| ✓ | 69.6% | #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))) |
| ✓ | 75.3% | #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 #s(literal -1 binary64))) |
| 69.6% | #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))) | |
| 74.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) | |
| 56.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) | |
| ✓ | 42.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
| 42.5% | #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))) | |
| 58.9% | #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)) -1) (fma.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)) #s(literal -1 binary64)))) | |
| ✓ | 27.3% | #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)) -1) #s(literal -1 binary64))) |
| 49.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
Compiled 2 373 to 595 computations (74.9% 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(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 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.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) (*.f64 (*.f64 a a) (*.f64 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) (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)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #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)))))) (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 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (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)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.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)) #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)))))) (*.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 (*.f64 (pow.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(literal 4 binary64)))) #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 #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(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.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(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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) (fma.f64 a a a)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.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) (fma.f64 a a a)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))))) (pow.f64 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 (+.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 (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)) |
5 calls:
| 23.0ms | b |
| 9.0ms | a |
| 8.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 8.0ms | (*.f64 b b) |
| 8.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | a |
| 98.9% | 2 | b |
| 98.0% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 98.0% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 98.9% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(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 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.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) (*.f64 (*.f64 a a) (*.f64 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) (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)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #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)))))) (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 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (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)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.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)) #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)) |
| 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
4 calls:
| 8.0ms | b |
| 7.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 7.0ms | (*.f64 b b) |
| 7.0ms | (-.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 |
|---|---|---|
| 98.0% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 98.0% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 96.4% | 3 | b |
| 96.4% | 3 | (*.f64 b b) |
Compiled 64 to 42 computations (34.4% 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(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 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.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) (*.f64 (*.f64 a a) (*.f64 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) (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)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #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)))))) (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 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (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)))))) 1) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) (fma.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)) #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)) -1) (fma.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)) #s(literal -1 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
5 calls:
| 15.0ms | (-.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)) |
| 8.0ms | a |
| 8.0ms | b |
| 7.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 7.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | b |
| 94.3% | 2 | (*.f64 b b) |
| 96.1% | 3 | a |
| 80.8% | 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)) |
| 80.8% | 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)))))) |
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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(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 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.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) (*.f64 (*.f64 a a) (*.f64 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) (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)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #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)))))) (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 (pow.f64 b #s(literal 3 binary64)) b (*.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)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (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)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
1 calls:
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(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 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.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) (*.f64 (*.f64 a a) (*.f64 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) (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)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 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 (+.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 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
1 calls:
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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(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 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.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) (*.f64 (*.f64 a a) (*.f64 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) (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)) |
| 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(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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
1 calls:
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) |
3 calls:
| 43.0ms | a |
| 5.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 2 | b |
| 93.1% | 2 | (*.f64 b b) |
| 95.7% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #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) #s(approx (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 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 (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 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 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 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 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
1 calls:
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
3 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 2 | b |
| 83.1% | 2 | (*.f64 b b) |
| 88.5% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #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) #s(approx (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))) |
5 calls:
| 22.0ms | 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 (+.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 |
|---|---|---|
| 63.0% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 63.0% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 69.6% | 2 | b |
| 69.6% | 2 | (*.f64 b b) |
| 73.4% | 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)) -1) #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 (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
3 calls:
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 2 | b |
| 69.6% | 2 | (*.f64 b b) |
| 70.0% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #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) #s(approx (+ (* (+ (* b b) 4) (* 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 (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 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)) |
| 49.9% | 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)))))) |
| 49.9% | 1 | a |
| 49.9% | 1 | b |
| 49.9% | 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)) -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) #s(approx (+ (* (+ (* (+ 4 a) a) 4) (* a a)) -1) #s(literal -1 binary64))) |
5 calls:
| 12.0ms | (*.f64 b b) |
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.3% | 1 | a |
| 27.3% | 1 | b |
| 27.3% | 1 | (*.f64 b b) |
| 27.3% | 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)) |
| 27.3% | 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)))))) |
Compiled 65 to 44 computations (32.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.379351870945945e-40 | 8.396049233892612e-33 |
Compiled 32 to 23 computations (28.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 34 to 25 computations (26.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 24.0ms | -0.6535595454405526 | -1.9085896362362654e-26 |
| 27.0ms | 288× | 0 | valid |
Compiled 1 764 to 1 104 computations (37.4% saved)
ival-mult: 9.0ms (45.9% of total)ival-add: 5.0ms (25.5% of total)ival-pow2: 3.0ms (15.3% of total)ival-sub: 2.0ms (10.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 2.0ms | -0.6535595454405526 | -1.9085896362362654e-26 |
Compiled 1 577 to 1 005 computations (36.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 2.0ms | -0.6535595454405526 | -1.9085896362362654e-26 |
Compiled 1 577 to 1 023 computations (35.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 2.0ms | -0.6535595454405526 | -1.9085896362362654e-26 |
Compiled 1 595 to 1 005 computations (37% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 19.0ms | -13418964864916452.0 | -46319373.413460486 |
| 13.0ms | 144× | 0 | valid |
Compiled 1 490 to 935 computations (37.2% saved)
ival-mult: 5.0ms (50.3% of total)ival-add: 2.0ms (20.1% of total)ival-sub: 1.0ms (10.1% of total)ival-pow2: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 1.0ms | -13418964864916452.0 | -46319373.413460486 |
Compiled 1 413 to 886 computations (37.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.733850047016936e+65 | 1.8573314188494545e+68 |
| 9.0ms | -13418964864916452.0 | -46319373.413460486 |
| 6.0ms | 64× | 0 | valid |
Compiled 1 314 to 823 computations (37.4% saved)
ival-mult: 2.0ms (45.3% of total)ival-add: 1.0ms (22.6% of total)ival-pow2: 1.0ms (22.6% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 35.0ms | 3.1656733364334953e+98 | 1.2856760578297953e+103 |
| 19.0ms | -2.413352360884107e+132 | -3.3034602750485945e+126 |
| 43.0ms | 272× | 0 | valid |
Compiled 1 537 to 966 computations (37.2% saved)
ival-mult: 26.0ms (72.1% of total)ival-add: 4.0ms (11.1% of total)ival-pow2: 3.0ms (8.3% of total)ival-sub: 2.0ms (5.5% 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 |
|---|---|---|
| 21.0ms | 1.5815411685972394e+94 | 4.556151446953819e+96 |
| 20.0ms | -2.3665353602208378e+106 | -3.361240762954485e+101 |
| 25.0ms | 272× | 0 | valid |
Compiled 1 690 to 1 034 computations (38.8% saved)
ival-mult: 9.0ms (47.8% of total)ival-add: 4.0ms (21.3% of total)ival-pow2: 3.0ms (15.9% of total)ival-sub: 2.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.420325201716985e+302 | 4.063393380185784e+303 |
| 8.0ms | 96× | 0 | valid |
Compiled 596 to 371 computations (37.8% saved)
ival-mult: 3.0ms (49.6% of total)ival-add: 2.0ms (33.1% of total)ival-sub: 1.0ms (16.5% of total)ival-pow2: 1.0ms (16.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 1612 |
| 1 | 207 | 1612 |
| 2 | 369 | 1612 |
| 3 | 905 | 1612 |
| 4 | 2561 | 1612 |
| 5 | 4733 | 1612 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 b b) #s(literal 6129982163463555/6129982163463555433433388108601236734474956488734408704 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(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))) |
(if (<=.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 +inf.0 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))) |
(if (<=.f64 a #s(literal -1/2 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)) -1) (fma.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)) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1/2 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1/2 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1/2 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -4100000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -4100000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))) |
(if (<=.f64 a #s(literal -7500000000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))) |
(if (<=.f64 a #s(literal -2400000000000000104077381594129397232140789560417527965016987009131835301431978020468812710358773725412697423253722009121184278380544 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -23500000000000001222679788333139483925020109102403761619971047681204809017812433048090738335721270865297408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 4499999999999999572236396289025205950994420615542782652470464550866291125721763036663319436984320 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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 (+ (* (+ (* b b) 4) (* 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)) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 b b) #s(literal 6129982163463555/6129982163463555433433388108601236734474956488734408704 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(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))) |
(if (<=.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 +inf.0 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))) |
(if (<=.f64 a #s(literal -1/2 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)) -1) (fma.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)) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1/2 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1/2 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -1/2 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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -4100000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))))) |
(if (or (<=.f64 a #s(literal -4100000000000 binary64)) (not (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -4100000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 a a) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))) |
(if (<=.f64 a #s(literal -7500000000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 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)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))) |
(if (or (<=.f64 a #s(literal -7500000000000 binary64)) (not (<=.f64 a #s(literal 1150000000000000002595957300909012630091174061213914393951495782400 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -2400000000000000104077381594129397232140789560417527965016987009131835301431978020468812710358773725412697423253722009121184278380544 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 3500000000000000106169510082028669007832292574792340059126042460567371122806756024496225910385306238976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.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 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))) |
(if (<=.f64 a #s(literal -23500000000000001222679788333139483925020109102403761619971047681204809017812433048090738335721270865297408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) (if (<=.f64 a #s(literal 4499999999999999572236396289025205950994420615542782652470464550866291125721763036663319436984320 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))) |
(if (<=.f64 (*.f64 b b) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* (+ 4 a) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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 (+ (* (+ (* b b) 4) (* 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)) -1) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 857 |
| 1 | 541 | 834 |
| 2 | 1640 | 789 |
| 3 | 6189 | 773 |
| 0 | 8291 | 682 |
| 0 | 49 | 521 |
| 0 | 80 | 511 |
| 1 | 406 | 501 |
| 2 | 3655 | 497 |
| 0 | 8935 | 453 |
| 0 | 44 | 456 |
| 0 | 64 | 447 |
| 1 | 305 | 441 |
| 2 | 2437 | 441 |
| 0 | 8166 | 381 |
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1717 | 713 |
| 3 | 5212 | 695 |
| 0 | 8392 | 618 |
| 0 | 154 | 820 |
| 1 | 519 | 797 |
| 2 | 1566 | 752 |
| 3 | 5828 | 736 |
| 0 | 8170 | 654 |
| 0 | 217 | 1273 |
| 1 | 708 | 1202 |
| 2 | 2188 | 1123 |
| 3 | 7634 | 1123 |
| 0 | 8071 | 1018 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 188 to 679 computations (69% saved)
(abs b)
Compiled 3 496 to 426 computations (87.8% saved)
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