
Time bar (total: 7.7s)
| 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)
| 957.0ms | 8 256× | 0 | valid |
ival-mult: 331.0ms (46.3% of total)ival-add: 190.0ms (26.6% of total)ival-sub: 88.0ms (12.3% of total)ival-pow2: 84.0ms (11.8% of total)exact: 12.0ms (1.7% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 48 | 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)))))) |
| 35 | 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)))) |
| 13 | 0 | - | 2 | (-1.3571750616868268e+239 -1.7845108462543218e-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 | 48 | 0 |
| ↳ | (*.f64 b b) | overflow | 61 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 160 | |
| ↳ | (*.f64 a a) | overflow | 65 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 111 | |
| ↳ | (*.f64 b b) | overflow | 61 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 88 | |
| ↳ | (*.f64 a a) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 77 | |
| ↳ | (+.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 | 130 | |
| ↳ | (*.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 | 130 | |
+.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 | 35 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 88 | |
| ↳ | (*.f64 a a) | overflow | 65 | |
| ↳ | (*.f64 b b) | overflow | 61 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 77 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 0 |
| - | 0 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 0 |
| - | 0 | 0 | 191 |
| number | freq |
|---|---|
| 0 | 191 |
| 1 | 47 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 472× | 0 | valid |
| 6.0ms | 18× | 2 | valid |
| 5.0ms | 22× | 1 | valid |
Compiled 488 to 80 computations (83.6% saved)
ival-mult: 21.0ms (45.5% of total)ival-add: 10.0ms (21.7% of total)ival-sub: 6.0ms (13% of total)ival-pow2: 6.0ms (13% of total)adjust: 2.0ms (4.3% of total)ival-true: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 159 |
| 1 | 171 | 157 |
| 2 | 705 | 155 |
| 3 | 2928 | 155 |
| 4 | 6926 | 155 |
| 0 | 19 | 31 |
| 0 | 32 | 31 |
| 1 | 70 | 31 |
| 2 | 196 | 31 |
| 3 | 596 | 31 |
| 4 | 1960 | 31 |
| 5 | 3484 | 31 |
| 0 | 8178 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 31 to 19 computations (38.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.5% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
Compiled 31 to 19 computations (38.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 151 |
| 0 | 32 | 151 |
| 1 | 70 | 151 |
| 2 | 196 | 151 |
| 3 | 596 | 151 |
| 4 | 1960 | 151 |
| 5 | 3484 | 151 |
| 0 | 8178 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (fma.f64 a a a) a) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10384750976844202 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 2.8895594110972977 | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| accuracy | 7.886681594943705 | (+.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 | 9.574218750000002 | (+.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)))))) |
| 53.0ms | 236× | 0 | valid |
| 3.0ms | 9× | 2 | valid |
| 3.0ms | 11× | 1 | valid |
Compiled 304 to 40 computations (86.8% saved)
ival-mult: 31.0ms (70.6% of total)ival-add: 5.0ms (11.4% of total)ival-sub: 3.0ms (6.8% of total)ival-pow2: 3.0ms (6.8% of total)adjust: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | 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 | 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)) |
| 1.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1717 | 713 |
| 3 | 5212 | 695 |
| 0 | 8392 | 618 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 (fma.f64 a a a) a) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(fma.f64 a a (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(* -3 (* a (pow b 2))) |
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 78 |
| 0 | 30 | 78 |
| 1 | 128 | 78 |
| 2 | 1083 | 78 |
| 0 | 8159 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
Compiled 32 813 to 2 710 computations (91.7% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 8 | 536 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 529 | 8 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| 75.3% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) | |
| ▶ | 52.2% | (-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| ▶ | 81.4% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
| 50.2% | (-.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)) | |
| ▶ | 69.3% | (-.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)) |
| 67.4% | (-.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)) | |
| ▶ | 62.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) #s(literal 1 binary64)) |
| ▶ | 68.9% | (-.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 654 to 408 computations (37.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 960 | (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) | |
| cost-diff | 6272 | (+.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 | 6272 | (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 6144 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.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 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 825 |
| 0 | 115 | 824 |
| 1 | 216 | 810 |
| 2 | 489 | 802 |
| 3 | 1433 | 801 |
| 4 | 5244 | 801 |
| 0 | 8301 | 751 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a a) |
#s(literal 1 binary64) |
(-.f64 #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)))))) (*.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)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) |
(*.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))) |
(-.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)) |
#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) |
(-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
#s(literal -4 binary64) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
a |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(+.f64 a b) |
b |
(/.f64 a (-.f64 a b)) |
(-.f64 a b) |
(neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
(+.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 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 b b) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (fma.f64 a a (pow.f64 a #s(literal 3 binary64)))) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (fma.f64 a a (pow.f64 a #s(literal 3 binary64)))) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))) |
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (fma.f64 a a (pow.f64 a #s(literal 3 binary64)))) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (fma.f64 a a (pow.f64 a #s(literal 3 binary64)))) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 a a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 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 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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 #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)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))) |
(-.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)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
#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) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) |
(-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
(-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) |
#s(literal -4 binary64) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
a |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(fma.f64 (fma.f64 (fma.f64 a a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (pow.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 b a)) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(+.f64 a b) |
(+.f64 b a) |
b |
(/.f64 a (-.f64 a b)) |
(-.f64 a b) |
(neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 b a)) (+.f64 b a)) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (+.f64 a b) (-.f64 a b)) |
(*.f64 (-.f64 a b) (+.f64 b a)) |
#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 (*.f64 (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))) |
(+.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 a a a) a (*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
(fma.f64 a a (pow.f64 a #s(literal 3 binary64))) |
(*.f64 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 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.6848737358120625 | (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) | |
| accuracy | 7.886681594943705 | (+.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 | 9.574218750000002 | (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | |
| accuracy | 31.985070395200186 | (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) | |
| accuracy | 1.497114539875494 | (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) | |
| accuracy | 4.2463454657059385 | (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) | |
| accuracy | 21.173945442992117 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) | |
| accuracy | 24.623593341013297 | (*.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))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.017910009768442016 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 23.95703836862491 | #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 | 0.00390625 | (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) | |
| accuracy | 2.923559899908755 | (*.f64 (*.f64 b b) (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))) | |
| accuracy | 24.297238601104063 | #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 | 0.02734375 | (*.f64 (fma.f64 a a a) a) | |
| accuracy | 0.10384750976844202 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 9.574218750000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) | |
| accuracy | 28.57841603473718 | #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
| 138.0ms | 235× | 0 | valid |
| 9.0ms | 9× | 2 | valid |
| 8.0ms | 11× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 1 562 to 124 computations (92.1% saved)
ival-div: 54.0ms (42.5% of total)ival-mult: 24.0ms (18.9% of total)ival-add: 19.0ms (15% of total)ival-pow: 11.0ms (8.7% of total)ival-sub: 8.0ms (6.3% of total)ival-pow2: 6.0ms (4.7% of total)adjust: 4.0ms (3.1% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #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) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) |
(*.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))) |
(-.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)) |
(+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (- (* 4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ (- (* a (+ 4 a)) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 2 (* (pow b 2) (+ b (* -1 b)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (* a (+ 4 (+ (* 2 (* (pow b 2) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (pow (+ b (* -1 b)) 2))))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (* a (+ 4 (+ (* 2 (* (pow b 2) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ (* a (+ 4 (* 4 (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))))) (pow (+ b (* -1 b)) 2)))))))) (pow b 4))) |
(+ (* -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)) |
(- (* a (+ b (* -1 b))) (* -1 (pow b 2))) |
(- (* a (+ b (+ (* -1 b) (* a (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))))) (* -1 (pow b 2))) |
(- (* a (+ b (+ (* -1 b) (* a (+ 1 (+ (/ (* a (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))) (pow b 2)) (/ (pow (+ b (* -1 b)) 2) (pow b 2)))))))) (* -1 (pow b 2))) |
1 |
(+ 1 (* -3 a)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(* -1 (pow b 2)) |
(+ (* -1 (* a (+ b (* -1 b)))) (* -1 (pow b 2))) |
(+ (* -1 (pow b 2)) (* a (- (* -1 (* a (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ b (* -1 b))))) |
(+ (* -1 (pow b 2)) (* a (- (* a (- (* -1 (/ (* a (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))) (pow b 2))) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ b (* -1 b))))) |
(/ (pow a 3) b) |
(* (pow a 3) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) |
(* (pow a 3) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))) |
(* (pow a 3) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(+ 1 (* 4 (/ 1 a))) |
(+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* -2 (/ (+ b (* -1 b)) a)) (* 4 (/ 1 a))))) |
(* (pow a 4) (+ 1 (+ (* -2 (/ (+ b (* -1 b)) a)) (+ (* -2 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2)))))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* -2 (/ (+ b (* -1 b)) a)) (+ (* -2 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ (* -2 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ (* 2 (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow (+ b (* -1 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)))))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 b)) a)))) |
(* (pow a 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a)))) |
(* (pow a 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a)))))) |
(* -3 a) |
(* a (- (/ 1 a) 3)) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(/ -4 a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/ (pow b 4) (pow a 2)) |
(/ (+ (* -1 (/ (* (pow b 4) (+ b (* -1 b))) a)) (pow b 4)) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow b 4) (pow (+ b (* -1 b)) 2))) (* -1 (pow b 6))) (pow a 2))) (pow b 4)) (/ (* (pow b 4) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (* (pow b 4) (pow (+ b (* -1 b)) 2))) (* -1 (pow b 6))))) (* (pow b 6) (+ b (* -1 b)))) (pow a 3))) (pow b 4)) (+ (* -1 (/ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ (* -1 (/ (pow b 6) (pow a 2))) (/ (* (pow b 4) (+ b (* -1 b))) a)))) (pow a 2)) |
(* (pow a 2) (+ 1 (* -1 (/ b a)))) |
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))) |
(* (pow a 2) (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (+ (* -2 b) (* 2 b)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (+ (* -2 b) (+ (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (+ (* 2 (pow (+ b (* -1 b)) 2)) (pow (+ b (* -1 b)) 2)))) a)) (* 2 b))) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (+ (* -2 b) (+ (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (+ (* 4 (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2)))) (* 12 (pow b 2)))) a)) (+ (* 2 (pow b 2)) (+ (* 2 (pow (+ b (* -1 b)) 2)) (pow (+ b (* -1 b)) 2))))) a)) (* 2 b))) 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))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) a)))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) a)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a)))) a)))) |
(* -1 (* a (- 3 (/ 1 a)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow b 6)) a)) (* (pow b 4) (+ b (* -1 b)))) a)) (pow b 4)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow b 6))) (* (pow b 6) (+ b (* -1 b)))) a)) (+ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow b 6))) a)) (* (pow b 4) (+ b (* -1 b)))) a)) (pow b 4)) (pow a 2)) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(* 4 (pow b 2)) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+ (* -2 (* (pow a 2) (* b (+ a (* -1 a))))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* b (+ (* -2 (* (pow a 2) (+ a (* -1 a)))) (* b (+ (* 2 (* (pow a 2) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2)))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* b (+ (* -2 (* (pow a 2) (+ a (* -1 a)))) (* b (+ (* -4 (* b (* (+ a (* -1 a)) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))))) (+ (* 2 (* (pow a 2) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2))))))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* -1 (* b (+ a (* -1 a)))) (pow a 2)) |
(+ (* b (- (* b (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (+ a (* -1 a)))) (pow a 2)) |
(+ (* b (- (* b (- (+ 1 (* -1 (/ (* b (* (+ a (* -1 a)) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))))) (pow a 2)))) (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (+ a (* -1 a)))) (pow a 2)) |
(+ 4 (* -12 a)) |
(/ 4 a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))) |
(* (pow b 4) (+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))) |
(* (pow b 4) (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) |
(+ (* -1 (* a b)) (pow a 2)) |
(+ (* b (- b a)) (pow a 2)) |
(+ (* b (- (* b (+ 1 (* -1 (/ b a)))) a)) (pow a 2)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))) (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (* 2 (/ a b))))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (+ (* 2 (/ a b)) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (+ (* 2 (/ a b)) (+ (* 2 (/ (* (pow a 2) (+ a (* -1 a))) (pow b 3))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (+ (* 4 (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (pow b 3))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (pow b 3)) (+ (/ (* (pow a 2) (+ a (* -1 a))) (pow b 3)) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* -2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) |
(* (pow b 2) (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b))))) |
(* (pow b 2) (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2)))))))) |
(/ (+ (* -1 (/ (pow a 4) b)) (pow a 3)) b) |
(/ (- (+ (/ (pow a 5) (pow b 2)) (pow a 3)) (/ (pow a 4) b)) b) |
(/ (- (+ (* -1 (/ (pow a 6) (pow b 3))) (pow a 3)) (+ (* -1 (/ (pow a 5) (pow b 2))) (/ (pow a 4) b))) b) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (* 2 a)) b)))) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (+ (* -1 (/ (+ (* 2 (pow a 2)) (+ (* 2 (pow (+ a (* -1 a)) 2)) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2)))) b)) (* 2 a))) b)))) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow a 2) (+ a (* -1 a)))) (* 4 (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))))) b)) (+ (* 2 (pow a 2)) (+ (* 2 (pow (+ a (* -1 a)) 2)) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2))))) b)) (* 2 a))) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) b)))) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)))) b)))) |
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1)) |
(* (pow b 2) (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1)) |
(* (pow b 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1)) |
(* -1 (/ (+ (* -1 (pow a 3)) (/ (pow a 4) b)) b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (* -1 (pow a 3))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 6) b) (pow a 5)) b)) (pow a 4)) b)) (* -1 (pow a 3))) b)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (+ (* -12 a) (+ (* b b) 4)) (/ (+ (* (* b b) 2) 4) a) (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a) (/ (pow b 4) (* (+ a b) (- a b))) (/ (pow a 3) (+ a b))) |
| 7.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (+ (* -12 a) (+ (* b b) 4)) (/ (+ (* (* b b) 2) 4) a) (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a) (/ (pow b 4) (* (+ a b) (- a b))) (/ (pow a 3) (+ a b))) |
| 6.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (+ (* -12 a) (+ (* b b) 4)) (/ (+ (* (* b b) 2) 4) a) (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a) (/ (pow b 4) (* (+ a b) (- a b))) (/ (pow a 3) (+ a b))) |
| 6.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (+ (* -12 a) (+ (* b b) 4)) (/ (+ (* (* b b) 2) 4) a) (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a) (/ (pow b 4) (* (+ a b) (- a b))) (/ (pow a 3) (+ a b))) |
| 5.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* b b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) (- 1 (* 3 a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (+ (* -12 a) (+ (* b b) 4)) (/ (+ (* (* b b) 2) 4) a) (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a) (/ (pow b 4) (* (+ a b) (- a b))) (/ (pow a 3) (+ a b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 792 | 3937 |
| 1 | 2651 | 3117 |
| 0 | 9408 | 2896 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (- (* 4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ (- (* a (+ 4 a)) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 2 (* (pow b 2) (+ b (* -1 b)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (* a (+ 4 (+ (* 2 (* (pow b 2) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (pow (+ b (* -1 b)) 2))))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (* a (+ 4 (+ (* 2 (* (pow b 2) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ (* a (+ 4 (* 4 (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))))) (pow (+ b (* -1 b)) 2)))))))) (pow b 4))) |
(+ (* -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)) |
(- (* a (+ b (* -1 b))) (* -1 (pow b 2))) |
(- (* a (+ b (+ (* -1 b) (* a (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))))) (* -1 (pow b 2))) |
(- (* a (+ b (+ (* -1 b) (* a (+ 1 (+ (/ (* a (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))) (pow b 2)) (/ (pow (+ b (* -1 b)) 2) (pow b 2)))))))) (* -1 (pow b 2))) |
1 |
(+ 1 (* -3 a)) |
(pow a 2) |
(* (pow a 2) (+ 1 a)) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(* -1 (pow b 2)) |
(+ (* -1 (* a (+ b (* -1 b)))) (* -1 (pow b 2))) |
(+ (* -1 (pow b 2)) (* a (- (* -1 (* a (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ b (* -1 b))))) |
(+ (* -1 (pow b 2)) (* a (- (* a (- (* -1 (/ (* a (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))) (pow b 2))) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ b (* -1 b))))) |
(/ (pow a 3) b) |
(* (pow a 3) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) |
(* (pow a 3) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))) |
(* (pow a 3) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(+ 1 (* 4 (/ 1 a))) |
(+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* -2 (/ (+ b (* -1 b)) a)) (* 4 (/ 1 a))))) |
(* (pow a 4) (+ 1 (+ (* -2 (/ (+ b (* -1 b)) a)) (+ (* -2 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2)))))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* -2 (/ (+ b (* -1 b)) a)) (+ (* -2 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ (* -2 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ (* 2 (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow (+ b (* -1 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)))))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 b)) a)))) |
(* (pow a 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a)))) |
(* (pow a 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a)))))) |
(* -3 a) |
(* a (- (/ 1 a) 3)) |
(* -12 a) |
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) |
(/ -4 a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/ (pow b 4) (pow a 2)) |
(/ (+ (* -1 (/ (* (pow b 4) (+ b (* -1 b))) a)) (pow b 4)) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow b 4) (pow (+ b (* -1 b)) 2))) (* -1 (pow b 6))) (pow a 2))) (pow b 4)) (/ (* (pow b 4) (+ b (* -1 b))) a)) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (* (pow b 4) (pow (+ b (* -1 b)) 2))) (* -1 (pow b 6))))) (* (pow b 6) (+ b (* -1 b)))) (pow a 3))) (pow b 4)) (+ (* -1 (/ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ (* -1 (/ (pow b 6) (pow a 2))) (/ (* (pow b 4) (+ b (* -1 b))) a)))) (pow a 2)) |
(* (pow a 2) (+ 1 (* -1 (/ b a)))) |
(* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))) |
(* (pow a 2) (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (+ (* -2 b) (* 2 b)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (+ (* -2 b) (+ (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (+ (* 2 (pow (+ b (* -1 b)) 2)) (pow (+ b (* -1 b)) 2)))) a)) (* 2 b))) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (+ (* -2 b) (+ (* -1 (/ (+ 4 (+ (* -1 (/ (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (+ (* 4 (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2)))) (* 12 (pow b 2)))) a)) (+ (* 2 (pow b 2)) (+ (* 2 (pow (+ b (* -1 b)) 2)) (pow (+ b (* -1 b)) 2))))) a)) (* 2 b))) 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))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) a)))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) a)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a)))) a)))) |
(* -1 (* a (- 3 (/ 1 a)))) |
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow b 6)) a)) (* (pow b 4) (+ b (* -1 b)))) a)) (pow b 4)) (pow a 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow b 6))) (* (pow b 6) (+ b (* -1 b)))) a)) (+ (* (pow b 4) (pow (+ b (* -1 b)) 2)) (pow b 6))) a)) (* (pow b 4) (+ b (* -1 b)))) a)) (pow b 4)) (pow a 2)) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(* 4 (pow b 2)) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+ (* -2 (* (pow a 2) (* b (+ a (* -1 a))))) (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* b (+ (* -2 (* (pow a 2) (+ a (* -1 a)))) (* b (+ (* 2 (* (pow a 2) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2)))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* b (+ (* -2 (* (pow a 2) (+ a (* -1 a)))) (* b (+ (* -4 (* b (* (+ a (* -1 a)) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))))) (+ (* 2 (* (pow a 2) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))))) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2))))))) (pow a 4))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* -1 (* b (+ a (* -1 a)))) (pow a 2)) |
(+ (* b (- (* b (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (+ a (* -1 a)))) (pow a 2)) |
(+ (* b (- (* b (- (+ 1 (* -1 (/ (* b (* (+ a (* -1 a)) (- 1 (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))))) (pow a 2)))) (* -1 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (+ a (* -1 a)))) (pow a 2)) |
(+ 4 (* -12 a)) |
(/ 4 a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(* (pow b 4) (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))) |
(* (pow b 4) (+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))) |
(* (pow b 4) (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) |
(+ (* -1 (* a b)) (pow a 2)) |
(+ (* b (- b a)) (pow a 2)) |
(+ (* b (- (* b (+ 1 (* -1 (/ b a)))) a)) (pow a 2)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))) (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (* 2 (/ a b))))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (+ (* 2 (/ a b)) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (+ (* 2 (/ a b)) (+ (* 2 (/ (* (pow a 2) (+ a (* -1 a))) (pow b 3))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (+ (* 4 (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (pow b 3))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (pow b 3)) (+ (/ (* (pow a 2) (+ a (* -1 a))) (pow b 3)) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* -2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) |
(* (pow b 2) (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b))))) |
(* (pow b 2) (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2)))))))) |
(/ (+ (* -1 (/ (pow a 4) b)) (pow a 3)) b) |
(/ (- (+ (/ (pow a 5) (pow b 2)) (pow a 3)) (/ (pow a 4) b)) b) |
(/ (- (+ (* -1 (/ (pow a 6) (pow b 3))) (pow a 3)) (+ (* -1 (/ (pow a 5) (pow b 2))) (/ (pow a 4) b))) b) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (* 2 a)) b)))) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (+ (* -1 (/ (+ (* 2 (pow a 2)) (+ (* 2 (pow (+ a (* -1 a)) 2)) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2)))) b)) (* 2 a))) b)))) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow a 2) (+ a (* -1 a)))) (* 4 (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))))) b)) (+ (* 2 (pow a 2)) (+ (* 2 (pow (+ a (* -1 a)) 2)) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2))))) b)) (* 2 a))) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) b)))) b)))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)))) b)))) |
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1)) |
(* (pow b 2) (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1)) |
(* (pow b 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1)) |
(* -1 (/ (+ (* -1 (pow a 3)) (/ (pow a 4) b)) b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (* -1 (pow a 3))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 6) b) (pow a 5)) b)) (pow a 4)) b)) (* -1 (pow a 3))) b)) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.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))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) (pow.f64 b #s(literal 4 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (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) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.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 a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a a)) |
(/ (- (* 4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a)) |
(/ (- (* a (+ 4 a)) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a)) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* 2 (* (pow b 2) (+ b (* -1 b)))))) (pow b 4))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal 0 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (* a (+ 4 (+ (* 2 (* (pow b 2) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (pow (+ b (* -1 b)) 2))))))) (pow b 4))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) 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)) (+ (* 2 (* (pow b 2) (+ b (* -1 b)))) (* a (+ 4 (+ (* 2 (* (pow b 2) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ (* a (+ 4 (* 4 (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))))) (pow (+ b (* -1 b)) 2)))))))) (pow b 4))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b (*.f64 a (fma.f64 (+.f64 (fma.f64 (*.f64 b (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b b)) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 0 binary64)))) #s(literal 4 binary64)) a #s(literal 0 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b)) |
(- (* a (+ b (* -1 b))) (* -1 (pow b 2))) |
(*.f64 b b) |
(- (* a (+ b (+ (* -1 b) (* a (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))))) (* -1 (pow b 2))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 1 binary64)) a #s(literal 0 binary64)) a (*.f64 b b)) |
(- (* a (+ b (+ (* -1 b) (* a (+ 1 (+ (/ (* a (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))) (pow b 2)) (/ (pow (+ b (* -1 b)) 2) (pow b 2)))))))) (* -1 (pow b 2))) |
(fma.f64 (+.f64 (+.f64 #s(literal 0 binary64) a) (fma.f64 a (/.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 0 binary64)) (*.f64 b b)))) a (*.f64 b b)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3 a)) |
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 a)) |
(*.f64 (fma.f64 a a a) a) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* -12 a) (pow b 2))) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) (*.f64 a a)) |
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64))) (*.f64 a a)) |
(* -1 (pow b 2)) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (* a (+ b (* -1 b)))) (* -1 (pow b 2))) |
(*.f64 (neg.f64 b) b) |
(+ (* -1 (pow b 2)) (* a (- (* -1 (* a (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ b (* -1 b))))) |
(fma.f64 (neg.f64 b) b (fma.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) a a)) a #s(literal 0 binary64))) |
(+ (* -1 (pow b 2)) (* a (- (* a (- (* -1 (/ (* a (* (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))) (+ b (* -1 b)))) (pow b 2))) (+ 1 (/ (pow (+ b (* -1 b)) 2) (pow b 2))))) (+ b (* -1 b))))) |
(fma.f64 (neg.f64 b) b (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 0 binary64)) (*.f64 b b)) #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) a a))) a #s(literal 0 binary64))) |
(/ (pow a 3) b) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) b) |
(* (pow a 3) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a (*.f64 b b))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))) |
(*.f64 (fma.f64 (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1 binary64) b)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) a (/.f64 #s(literal -1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1 binary64) b)) (pow.f64 a #s(literal 3 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 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.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 b b) (pow.f64 a #s(literal 3 binary64))) #s(literal -12 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.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)))) |
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b 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))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* -12 (* a (pow b 2))) |
(*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) a) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(+ 1 (* 4 (/ 1 a))) |
(+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* -2 (/ (+ b (* -1 b)) a)) (* 4 (/ 1 a))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -2 (/ (+ b (* -1 b)) a)) (+ (* -2 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2)))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 0 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* -2 (/ (+ b (* -1 b)) a)) (+ (* -2 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ (* -2 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ (* 2 (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (+ (/ 4 (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 3 binary64))) #s(literal -12 binary64) (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 0 binary64) (*.f64 a a))) (/.f64 #s(literal 4 binary64) a)))) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 0 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 (/ 1 a))) |
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(fma.f64 (-.f64 b a) b (*.f64 a a)) |
(+ (* b (- (* b (+ 1 (* -1 (/ b a)))) a)) (pow a 2)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b (neg.f64 a)) b (*.f64 a a)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a 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))) (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 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 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))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) (*.f64 b b))) (*.f64 b b)) |
(* 2 (/ (pow b 2) (pow a 2))) |
(*.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a)) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))) (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) (*.f64 b b))) (*.f64 b b)) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (* 2 (/ a b))))) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (+ (* 2 (/ a b)) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 0 binary64) (*.f64 b b))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -2 (/ a b)) (+ (* 2 (/ a b)) (+ (* 2 (/ (* (pow a 2) (+ a (* -1 a))) (pow b 3))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 2 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (+ (* 4 (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (pow b 3))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 0 binary64) (*.f64 b b)))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) (/.f64 (*.f64 a a) b) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (*.f64 b b)) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 b b)) |
(* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (pow b 3)) (+ (/ (* (pow a 2) (+ a (* -1 a))) (pow b 3)) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 b b)) |
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) b) b) |
(* 2 (/ (pow b 2) a)) |
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) a)) (/.f64 #s(literal 2 binary64) a)) (*.f64 b b)) |
(* -2 (/ (pow b 2) (pow a 2))) |
(*.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 b b) a)) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a)) (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 a a))) (*.f64 b b)) |
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 2) (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (fma.f64 a a #s(literal 0 binary64)) b) #s(literal -1 binary64)) (*.f64 b b)) |
(* (pow b 2) (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2)))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 #s(literal 0 binary64) (*.f64 b b))))) (*.f64 b b)) |
(/ (+ (* -1 (/ (pow a 4) b)) (pow a 3)) b) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) b) |
(/ (- (+ (/ (pow a 5) (pow b 2)) (pow a 3)) (/ (pow a 4) b)) b) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) b)) b) |
(/ (- (+ (* -1 (/ (pow a 6) (pow b 3))) (pow a 3)) (+ (* -1 (/ (pow a 5) (pow b 2))) (/ (pow a 4) b))) b) |
(/.f64 (-.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (/.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 b b)))) b) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (* 2 a)) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (+ (* -1 (/ (+ (* 2 (pow a 2)) (+ (* 2 (pow (+ a (* -1 a)) 2)) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2)))) b)) (* 2 a))) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 0 binary64))) b) #s(literal -1 binary64) #s(literal 0 binary64)) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* -1 (/ (+ (* -2 a) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow a 2) (+ a (* -1 a)))) (* 4 (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))))) b)) (+ (* 2 (pow a 2)) (+ (* 2 (pow (+ a (* -1 a)) 2)) (+ (* 4 (- 1 (* 3 a))) (pow (+ a (* -1 a)) 2))))) b)) (* 2 a))) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) b)) b)) b)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 a)) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) b)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) b)))) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (neg.f64 b)) b)) (*.f64 b b)) |
(* (pow b 2) (+ 1 (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)))) b)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) (fma.f64 a a #s(literal 0 binary64))) b) b)) (*.f64 b b)) |
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1)) |
(*.f64 (neg.f64 b) b) |
(* (pow b 2) (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1)) |
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 a a) b)) #s(literal 0 binary64)) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b)) |
(* (pow b 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 0 binary64) b)) (fma.f64 a a #s(literal 0 binary64))) b) #s(literal -1 binary64) #s(literal 0 binary64)) b) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 b b)) |
(* -1 (/ (+ (* -1 (pow a 3)) (/ (pow a 4) b)) b)) |
(/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) (pow.f64 a #s(literal 3 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (* -1 (pow a 3))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) b) (pow.f64 a #s(literal 4 binary64))) (neg.f64 b)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 6) b) (pow a 5)) b)) (pow a 4)) b)) (* -1 (pow a 3))) b)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) b) (pow.f64 a #s(literal 5 binary64))) (neg.f64 b)) (pow.f64 a #s(literal 4 binary64))) (neg.f64 b)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 573 |
| 0 | 113 | 555 |
| 1 | 490 | 526 |
| 2 | 4340 | 526 |
| 0 | 8607 | 470 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 #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) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 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)))) |
(*.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))) |
(-.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)) |
(+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) |
(*.f64 (fma.f64 a a a) a) |
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (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))) |
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(pow.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
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(pow.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64)) a)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))) a)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (neg.f64 a)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) #s(literal 16 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) |
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
(pow.f64 (/.f64 (/.f64 a (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 2 binary64))) (pow.f64 a #s(literal -1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) #s(literal 16 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
(/.f64 (-.f64 (*.f64 #s(literal -64 binary64) (pow.f64 a #s(literal -3 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) a)) |
(/.f64 (*.f64 (-.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) #s(literal 16 binary64)) a)) |
(/.f64 (*.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) a) |
(/.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 a (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (*.f64 a a)) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 2 binary64))) (*.f64 a (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))))) |
(/.f64 (-.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64))) (*.f64 a (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) #s(literal 16 binary64)))) |
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (neg.f64 a)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
(fma.f64 #s(literal -4 binary64) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
(-.f64 (/.f64 #s(literal -4 binary64) a) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -4 binary64) a) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
(*.f64 (pow.f64 (/.f64 (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 b a) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a)) |
(*.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 b a) (*.f64 a a))) |
(*.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 b b) (-.f64 a b))) |
(*.f64 (/.f64 (*.f64 b b) (-.f64 a b)) (/.f64 (*.f64 b b) (+.f64 b a))) |
(*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a)) (pow.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a)) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 a b) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (neg.f64 (-.f64 a b)) (+.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))) |
(*.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (-.f64 a b) (+.f64 b a)))) |
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (/.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a)))) |
(pow.f64 (/.f64 (-.f64 a b) (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 b #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 b #s(literal -4 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 a b)) (+.f64 b a)) |
(/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a))) (neg.f64 (-.f64 a b))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 a b)) (+.f64 b a)))) |
(/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a)) (-.f64 a b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 b #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (-.f64 a b)) (+.f64 b a))) |
(/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (/.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 b a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 b #s(literal -4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 b #s(literal -4 binary64)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (-.f64 a b)) (+.f64 b a))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 b #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)) |
(*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b (-.f64 b a) (*.f64 a a))) |
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (+.f64 b a))) |
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 b a))) |
(*.f64 (*.f64 a a) (*.f64 a (pow.f64 (+.f64 b a) #s(literal -1 binary64)))) |
(*.f64 (*.f64 a a) (/.f64 a (+.f64 b a))) |
(*.f64 a (*.f64 (*.f64 a a) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))) |
(*.f64 a (/.f64 (*.f64 a a) (+.f64 b a))) |
(pow.f64 (/.f64 (*.f64 (+.f64 b a) (pow.f64 a #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 b a) (pow.f64 a #s(literal -3 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 b a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 b a) (pow.f64 a #s(literal -3 binary64))))) |
(/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (neg.f64 (+.f64 b a))) |
(/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 b a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b a) (pow.f64 a #s(literal -3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (pow.f64 a #s(literal -3 binary64)))) |
(neg.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (+.f64 b a))) |
(neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (+.f64 b a)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) (pow.f64 a #s(literal -3 binary64)))) #s(literal -1 binary64))) |
Compiled 50 153 to 4 181 computations (91.7% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 789 | 16 | 805 |
| Fresh | 2 | 1 | 3 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 796 | 17 | 813 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.7% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
| 69.2% | (-.f64 #s(approx (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| 67.4% | (-.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)) | |
| 69.2% | (-.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)) | |
| ▶ | 71.1% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64)) |
| 47.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| 40.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) | |
| 37.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 48.8% | (-.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)) |
| 83.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))) #s(literal 1 binary64)) | |
| ▶ | 70.1% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
| 62.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))) #s(literal 1 binary64)) | |
| 60.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 47.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
| 66.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) | |
| 40.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) a))) #s(literal 1 binary64)) | |
| 69.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
Compiled 1 804 to 1 082 computations (40% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) | |
| cost-diff | 0 | #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) | |
| 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 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 840 |
| 0 | 104 | 840 |
| 1 | 208 | 831 |
| 2 | 424 | 825 |
| 3 | 1069 | 817 |
| 4 | 3248 | 817 |
| 5 | 6771 | 817 |
| 0 | 8027 | 755 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a)))) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) |
#s(approx (* (+ (* a a) 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)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
#s(literal -12 binary64) |
a |
#s(literal 4 binary64) |
b |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
a |
#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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) |
(-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) |
#s(literal -4 binary64) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
#s(literal 2 binary64) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
a |
(*.f64 a a) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a)))) |
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) |
#s(approx (* (+ (* a a) 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)))))) #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)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) |
#s(literal -12 binary64) |
a |
#s(literal 4 binary64) |
b |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) 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)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) |
(*.f64 (fma.f64 (/.f64 a a) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal -4 binary64)) a) a) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) |
(-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) |
#s(literal -4 binary64) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) |
#s(literal 2 binary64) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
a |
(*.f64 a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.2463454657059385 | (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) | |
| accuracy | 7.935391864310882 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a)) | |
| accuracy | 15.713227632875858 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) | |
| accuracy | 21.173945442992117 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a))) | |
| accuracy | 2.832078581204791 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) | |
| accuracy | 3.0811149280823673 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) | |
| accuracy | 8.921403939500921 | #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) | |
| accuracy | 21.173945442992117 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) | |
| accuracy | 14.719465222021793 | #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) | |
| accuracy | 24.297238601104063 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.014003759768442016 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| accuracy | 15.998175997688392 | #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| accuracy | 23.95703836862491 | #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 | 0.10384750976844202 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 9.574218750000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) | |
| accuracy | 24.07883920178814 | #s(approx (* (+ (* a a) a) a) (*.f64 a a)) | |
| accuracy | 28.57841603473718 | #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) |
| 89.0ms | 235× | 0 | valid |
| 8.0ms | 10× | 2 | valid |
| 7.0ms | 11× | 1 | valid |
Compiled 1 437 to 129 computations (91% saved)
ival-mult: 28.0ms (35.5% of total)ival-div: 16.0ms (20.3% of total)ival-add: 13.0ms (16.5% of total)ival-sub: 7.0ms (8.9% of total)ival-pow: 7.0ms (8.9% of total)adjust: 3.0ms (3.8% of total)ival-pow2: 3.0ms (3.8% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) |
#s(approx (* (+ (* a a) a) a) (*.f64 a a)) |
(*.f64 b b) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 4 (pow b 2)) |
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (- (* 4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ (- (* a (+ 4 a)) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 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)) |
(* 4 b) |
(+ (* -12 (* a b)) (* 4 b)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a)))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
1 |
(+ 1 (* 4 (/ 1 a))) |
(+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (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)))))) |
(* -12 (* a b)) |
(* a (+ (* -12 b) (* 4 (/ b a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 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 (+ (* -4 (/ b a)) (* 12 b)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(* 4 (pow a 2)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2))) |
(* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (pow b 2)) (* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* b (+ 4 (* -12 a))) |
(* 4 a) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(/ 4 a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (/ (* (pow a 2) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))) (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (+ (* -12 a) 4) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) a) a) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (* b b) (* (+ (* -12 a) 4) b) (* (+ (* (* b b) 2) 4) a) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (/ (+ (* 2 (* b b)) 4) a)) |
| 4.0ms | b | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (+ (* -12 a) 4) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) a) a) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (* b b) (* (+ (* -12 a) 4) b) (* (+ (* (* b b) 2) 4) a) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (/ (+ (* 2 (* b b)) 4) a)) |
| 4.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (+ (* -12 a) 4) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) a) a) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (* b b) (* (+ (* -12 a) 4) b) (* (+ (* (* b b) 2) 4) a) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (/ (+ (* 2 (* b b)) 4) a)) |
| 3.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (+ (* -12 a) 4) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) a) a) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (* b b) (* (+ (* -12 a) 4) b) (* (+ (* (* b b) 2) 4) a) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (/ (+ (* 2 (* b b)) 4) a)) |
| 3.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (* (* (+ (* -12 a) 4) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) a) a) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (+ (* a a) a) a) (* b b) (* (+ (* -12 a) 4) b) (* (+ (* (* b b) 2) 4) a) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (/ (+ (* 2 (* b b)) 4) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 1721 |
| 1 | 977 | 1673 |
| 2 | 2924 | 1604 |
| 0 | 8556 | 1462 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* 4 (pow b 2)) |
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (- (* 4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ (- (* a (+ 4 a)) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 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)) |
(* 4 b) |
(+ (* -12 (* a b)) (* 4 b)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* -12 (* a (pow b 2))) |
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a))) |
(* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a)))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
1 |
(+ 1 (* 4 (/ 1 a))) |
(+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (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)))))) |
(* -12 (* a b)) |
(* a (+ (* -12 b) (* 4 (/ b a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))))) |
(* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 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 (+ (* -4 (/ b a)) (* 12 b)))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 2) (+ 4 (* -12 a))) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(* 4 (pow a 2)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2))) |
(* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (pow b 2)) (* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* b (+ 4 (* -12 a))) |
(* 4 a) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(/ 4 a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (/ (* (pow a 2) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))) (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (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 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) 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) |
(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 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.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 a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(+ 4 (* 2 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(/ (- (* 4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a)) a) |
(/ (- (* a (+ 4 a)) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) 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) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(+ (* -12 (* a b)) (* 4 b)) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.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 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a a))) (/.f64 #s(literal -4 binary64) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.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))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (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) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(* a (+ (* -12 (pow b 2)) (* 4 (/ (pow b 2) a)))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64))) a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (+.f64 #s(literal 4 binary64) a) a) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ 1 a))) |
(+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) |
(+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a a))) (/.f64 #s(literal -4 binary64) 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)))))) |
(*.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* -12 (* a b)) |
(*.f64 (*.f64 b a) #s(literal -12 binary64)) |
(* a (+ (* -12 b) (* 4 (/ b a)))) |
(*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64))) a) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) 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) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a) |
(* -1 (* a (+ (* -4 (/ (pow b 2) a)) (* 12 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64))) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) #s(literal 4 binary64)) a) a a)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) #s(literal 4 binary64)) a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a))) (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 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 b #s(literal 3 binary64)) (/.f64 b a))) a)) a))) |
(* -1 (* a (+ (* -4 (/ b a)) (* 12 b)))) |
(*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -12 binary64))) a) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (* -12 a))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(*.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))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b (*.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)))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a)) |
(+ (* 2 (pow b 2)) (* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a))) |
(- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal 1 binary64)) |
(- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(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 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)) |
(* b (+ 4 (* -12 a))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) b (/.f64 #s(literal 4 binary64) a)) |
(* (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))))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (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 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 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 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 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))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a a))) (/.f64 #s(literal -4 binary64) a)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b))) (*.f64 b b)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64))) (*.f64 b b)) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(* (pow b 2) (+ 2 (/ (* (pow a 2) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal 2 binary64)) (*.f64 b b)) |
(* 2 (/ (pow b 2) (pow a 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a)) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))) (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a a))) (/.f64 #s(literal -4 binary64) a)) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 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) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (fma.f64 a (-.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(*.f64 (*.f64 (*.f64 a (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 2 binary64))) b) b) |
(* 2 (/ (pow b 2) a)) |
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) a) (/.f64 #s(literal 2 binary64) a)) b) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 732 |
| 0 | 104 | 720 |
| 1 | 488 | 717 |
| 2 | 3430 | 717 |
| 0 | 10172 | 640 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) |
#s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) 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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) |
#s(approx (* (+ (* a a) a) a) (*.f64 a a)) |
(*.f64 b b) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.f64 a a)) (*.f64 a a)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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))))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) |
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))))) |
(+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (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 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (hypot.f64 b a) #s(literal 1 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (hypot.f64 b a) (hypot.f64 b a)) |
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) |
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(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 a a))) |
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(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) |
(pow.f64 (/.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64)) a)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))) a)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) a) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (neg.f64 a)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
Compiled 38 464 to 2 149 computations (94.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 5 | 485 |
| Fresh | 4 | 8 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 487 | 15 | 502 |
| Status | Accuracy | Program |
|---|---|---|
| 69.2% | (-.f64 #s(approx (+ (pow (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| ▶ | 85.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
| ▶ | 67.4% | (-.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)) |
| ▶ | 69.2% | (-.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)) |
| 40.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) | |
| 37.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 79.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | 48.8% | (-.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)) |
| 83.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) 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 (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
| ✓ | 47.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
| 66.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) | |
| 69.2% | #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))) | |
| 79.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) | |
| 68.5% | #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))) |
Compiled 1 495 to 884 computations (40.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) | |
| 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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) | |
| 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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 773 |
| 0 | 92 | 769 |
| 1 | 182 | 769 |
| 2 | 370 | 769 |
| 3 | 1004 | 769 |
| 4 | 2983 | 769 |
| 5 | 6408 | 741 |
| 0 | 8442 | 691 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) 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)) |
b |
#s(literal 4 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
#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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) |
(*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a)) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.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)))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) (*.f64 a 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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) 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)) |
b |
#s(literal 4 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) |
(*.f64 b b) |
#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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (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)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))) (*.f64 a a))) |
(*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a)) |
(*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))) (*.f64 a a)) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) |
(+.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 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)))))) (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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| accuracy | 30.08310615564528 | #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))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.0 | #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) | |
| accuracy | 7.935391864310882 | (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a)) | |
| accuracy | 21.173945442992117 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| accuracy | 23.95703836862491 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) | |
| accuracy | 2.832078581204791 | (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a) | |
| accuracy | 8.921403939500921 | #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) | |
| accuracy | 21.173945442992117 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) | |
| accuracy | 31.052158469764727 | #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) | |
| accuracy | 0.41796875000000006 | (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) | |
| accuracy | 2.832078581204791 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) | |
| accuracy | 3.0811149280823673 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) | |
| accuracy | 8.896301342802865 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
| 84.0ms | 240× | 0 | valid |
| 6.0ms | 9× | 1 | valid |
| 5.0ms | 6× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 1 320 to 122 computations (90.8% saved)
ival-mult: 32.0ms (43.6% of total)ival-add: 13.0ms (17.7% of total)ival-div: 11.0ms (15% of total)ival-sub: 7.0ms (9.5% of total)ival-pow: 4.0ms (5.5% of total)ival-pow2: 3.0ms (4.1% of total)adjust: 2.0ms (2.7% of total)exact: 1.0ms (1.4% 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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) |
(*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a)) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)) |
#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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 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) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(pow a 4) |
(* a (+ 4 (* 2 (pow b 2)))) |
(pow a 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))))))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* -12 (* a b)) |
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 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 a 2)) |
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2)))))) |
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2)))))) |
(* b (+ 4 (* -12 a))) |
(* b (+ 4 (+ (* -12 a) (pow b 2)))) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2))) |
(* 4 (pow b 2)) |
(* 4 b) |
(* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (pow b 2)) (* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(* 4 a) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 4 (/ 1 (pow b 2)))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (/ (* (pow a 2) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1))) |
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)))))) (+ (* (* (+ (* -12 a) (+ (* b b) 4)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* -12 a) (+ (* b b) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) 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)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (pow a 4) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (* (+ (* (* b b) 2) 4) a) (* a a)) |
| 3.0ms | 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)))))) (+ (* (* (+ (* -12 a) (+ (* b b) 4)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* -12 a) (+ (* b b) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) 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)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (pow a 4) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (* (+ (* (* b b) 2) 4) a) (* a a)) |
| 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)))))) (+ (* (* (+ (* -12 a) (+ (* b b) 4)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* -12 a) (+ (* b b) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) 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)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (pow a 4) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (* (+ (* (* b b) 2) 4) a) (* a a)) |
| 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)))))) (+ (* (* (+ (* -12 a) (+ (* b b) 4)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* -12 a) (+ (* b b) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) 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)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (pow a 4) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (* (+ (* (* b b) 2) 4) a) (* a a)) |
| 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)))))) (+ (* (* (+ (* -12 a) (+ (* b b) 4)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* -12 a) (+ (* b b) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (* (* (+ (* (* b b) 2) 4) 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)))))) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (* a a)) (* (- 1 (/ (- -4 (/ (+ (* 2 (* 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)))))) (pow a 4) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a) (* (+ (* (* b b) 2) 4) a) (* a a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 1338 |
| 1 | 778 | 1287 |
| 2 | 2438 | 1241 |
| 3 | 7121 | 1222 |
| 0 | 8235 | 1094 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(+ 4 (* 2 (pow b 2))) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(pow a 4) |
(* a (+ 4 (* 2 (pow b 2)))) |
(pow a 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))))))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(* -12 (* a b)) |
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 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 a 2)) |
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2)))))) |
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2)))))) |
(* b (+ 4 (* -12 a))) |
(* b (+ 4 (+ (* -12 a) (pow b 2)))) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2))) |
(* 4 (pow b 2)) |
(* 4 b) |
(* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(+ (* 2 (pow b 2)) (* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(* 4 a) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 4 (/ 1 (pow b 2)))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (/ (* (pow a 2) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(* 2 (* a (pow b 2))) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (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) |
(-.f64 (fma.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 (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1) |
(fma.f64 (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 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 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 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) |
(* (pow b 2) (+ 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 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.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 a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(+ 4 (* 2 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow b 2)) (* 4 a))) |
(fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))) |
(fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(pow a 2) |
(*.f64 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) b) a) (/.f64 b a) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.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 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a)) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))))) |
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) (*.f64 a a)) |
(* -12 (* a b)) |
(*.f64 (*.f64 b a) #s(literal -12 binary64)) |
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) 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 2) (+ 4 (+ (* -1 (/ (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))) |
(*.f64 (*.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) a)) a) a) |
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) #s(literal -4 binary64)) a) a a) a) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(-.f64 (fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))) b) b (-.f64 (fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.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 (-.f64 (fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #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 (*.f64 a a) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))) b) b (fma.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #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 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* -12 a) (* 2 (pow a 2)))))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* -12 a) (+ (* 2 (pow a 2)) (pow b 2)))))) |
(fma.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 (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
(* b (+ 4 (* -12 a))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* -12 a) (pow b 2)))) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(*.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))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b (*.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)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(+ (* 2 (pow b 2)) (* (pow a 2) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(+ (* 2 (* a (pow b 2))) (* 4 a)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(pow b 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 (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)))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (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)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (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 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 4 (/ 1 (pow b 2)))))))) |
(*.f64 (fma.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(fma.f64 (*.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 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) 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))) |
(* (pow b 3) (+ 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 3 binary64))) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(* (pow b 2) (+ 2 (/ (* (pow a 2) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 2 binary64))) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) |
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) b (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1))) |
(*.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 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 703 |
| 0 | 92 | 699 |
| 1 | 452 | 699 |
| 2 | 3287 | 699 |
| 0 | 9823 | 639 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) |
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) |
(*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a)) |
#s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)) |
#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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 a a) |
| Outputs |
|---|
(*.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 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64))) |
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64))))) |
#s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
Compiled 24 271 to 1 180 computations (95.1% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 6 | 303 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 304 | 14 | 318 |
| Status | Accuracy | Program |
|---|---|---|
| 86.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) | |
| 83.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) | |
| ✓ | 67.4% | (-.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)) |
| 83.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) a) a)) #s(literal 1 binary64)) | |
| 67.4% | (-.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)) | |
| 37.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 79.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | 48.8% | (-.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)) |
| ✓ | 49.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
| 66.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) | |
| 69.2% | #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))) | |
| 69.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| 68.5% | #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))) | |
| 47.5% | #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))) |
Compiled 2 560 to 691 computations (73% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a 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 (-.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)))) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 a b)) (/.f64 a (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
5 calls:
| 32.0ms | (*.f64 b b) |
| 11.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 9.0ms | a |
| 9.0ms | b |
| 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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | a |
| 98.7% | 1 | b |
| 98.7% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 98.7% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 98.7% | 1 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) a (fma.f64 (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)))))) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64)) b) a)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (*.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 (+ (* (/ (pow a 3) (+ a b)) (/ a (- a b))) (neg (/ (pow b 4) (* (+ a b) (- a b))))) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 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)) |
| Outputs |
|---|
#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))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
5 calls:
| 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)) |
| 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 |
|---|---|---|
| 97.6% | 3 | a |
| 98.8% | 2 | b |
| 90.3% | 3 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 90.3% | 3 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 98.8% | 2 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #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) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal -12 binary64))) a))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
2 calls:
| 6.0ms | (*.f64 b b) |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | b |
| 96.1% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #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 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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 (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
2 calls:
| 5.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | b |
| 96.1% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) 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)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (*.f64 #s(literal -12 binary64) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) #s(approx (+ (* -12 a) (+ (* b b) 4)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.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))) |
3 calls:
| 4.0ms | b |
| 3.0ms | a |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | a |
| 95.0% | 2 | b |
| 95.0% | 2 | (*.f64 b b) |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (* b b) (+ (* -12 a) (+ (* b b) 4))) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 b b)) 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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
5 calls:
| 2.0ms | a |
| 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)))))) |
| 2.0ms | b |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 75.7% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 84.9% | 3 | a |
| 83.3% | 2 | b |
| 83.3% | 2 | (*.f64 b b) |
Compiled 65 to 44 computations (32.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 4.0ms | 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 | 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 | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 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)) |
| 59.3% | 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)))))) |
| 67.6% | 2 | b |
| 67.6% | 2 | (*.f64 b b) |
| 67.8% | 3 | a |
Compiled 65 to 44 computations (32.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) 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)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 1.0ms | a |
| 1.0ms | b |
| 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)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9072342649246102e-11 | 1196.3677186213915 |
Compiled 32 to 23 computations (28.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.333636271927434e+24 | 1.3289573300233318e+31 |
Compiled 32 to 23 computations (28.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.333636271927434e+24 | 1.3289573300233318e+31 |
Compiled 32 to 23 computations (28.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.333636271927434e+24 | 1.3289573300233318e+31 |
Compiled 32 to 23 computations (28.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 3.3195472210140043e+118 | 5.2391374643379834e+128 |
| 24.0ms | -3.4954640201903274e+165 | -1.4109669071593336e+150 |
| 33.0ms | 320× | 0 | valid |
Compiled 2 194 to 1 283 computations (41.5% saved)
ival-mult: 11.0ms (46.2% of total)ival-add: 6.0ms (25.2% of total)ival-sub: 3.0ms (12.6% of total)ival-pow2: 3.0ms (12.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 6.267863996072741e+299 | 1.3267567481742768e+308 |
| 18.0ms | 144× | 0 | valid |
Compiled 1 040 to 608 computations (41.5% saved)
ival-pow2: 6.0ms (40.6% of total)ival-mult: 4.0ms (27.1% of total)ival-add: 3.0ms (20.3% of total)ival-sub: 1.0ms (6.8% 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 | 106 | 748 |
| 1 | 192 | 748 |
| 2 | 379 | 748 |
| 3 | 955 | 748 |
| 4 | 3199 | 748 |
| 5 | 7130 | 748 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/154742504910672534362390528 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))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 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))) #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 (*.f64 b b) #s(literal 1999999999999999966445568 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 -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 28999999999999999719640752393357263607830955895368865617439719911278437316660159814613797843074240045240372756428429702724627129027762052423477636149384255127317243220401151787850570127554979167306815061878954186947793288238576903512903310241884046188950770815404233128398350776303470756455168288371561725952 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) 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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) #s(approx (* (+ (* a a) a) a) (*.f64 a a))))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/154742504910672534362390528 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))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* -12 a) (+ (* b b) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (- 1 (/ (- -4 (/ (+ (* 2 (* b b)) 4) a)) a)) (* a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 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))) #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 (*.f64 b b) #s(literal 1999999999999999966445568 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 -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)))) |
(if (or (<=.f64 a #s(literal -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) (not (<=.f64 a #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 binary64)))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 28999999999999999719640752393357263607830955895368865617439719911278437316660159814613797843074240045240372756428429702724627129027762052423477636149384255127317243220401151787850570127554979167306815061878954186947793288238576903512903310241884046188950770815404233128398350776303470756455168288371561725952 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (* (- 1 (/ (- -4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 1721 |
| 1 | 977 | 1673 |
| 2 | 2924 | 1604 |
| 0 | 8556 | 1462 |
| 0 | 66 | 703 |
| 0 | 92 | 699 |
| 1 | 452 | 699 |
| 2 | 3287 | 699 |
| 0 | 9823 | 639 |
| 0 | 175 | 755 |
| 1 | 565 | 733 |
| 2 | 1717 | 713 |
| 3 | 5212 | 695 |
| 0 | 8392 | 618 |
| 0 | 66 | 573 |
| 0 | 113 | 555 |
| 1 | 490 | 526 |
| 2 | 4340 | 526 |
| 0 | 8607 | 470 |
| 0 | 230 | 1338 |
| 1 | 778 | 1287 |
| 2 | 2438 | 1241 |
| 3 | 7121 | 1222 |
| 0 | 8235 | 1094 |
| 0 | 792 | 3937 |
| 1 | 2651 | 3117 |
| 0 | 9408 | 2896 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 044 to 371 computations (64.5% saved)
(abs b)
Compiled 1 780 to 350 computations (80.3% saved)
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