
Time bar (total: 11.5s)
| 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)
| 966.0ms | 8 256× | 0 | valid |
ival-mult: 330.0ms (42% of total)ival-add: 231.0ms (29.4% of total)ival-pow2: 122.0ms (15.5% of total)ival-sub: 84.0ms (10.7% of total)exact: 10.0ms (1.3% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 21 268× | accelerator-lowering-fma.f32 |
| 21 268× | accelerator-lowering-fma.f64 |
| 4 248× | --lowering--.f32 |
| 4 248× | --lowering--.f64 |
| 3 998× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 159 |
| 1 | 171 | 157 |
| 2 | 671 | 155 |
| 3 | 2845 | 155 |
| 4 | 6808 | 155 |
| 0 | 19 | 31 |
| 1 | 57 | 31 |
| 2 | 175 | 31 |
| 3 | 580 | 31 |
| 4 | 1944 | 31 |
| 5 | 3471 | 31 |
| 0 | 8055 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
| Outputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(fma.f64 (*.f64 b b) (+.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(abs b)
| 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)))))) |
| 18 | 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)))) |
| 16 | 0 | - | 0 | - | (*.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 | 52 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 156 | |
| ↳ | (*.f64 a a) | overflow | 46 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 94 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 77 | |
| ↳ | (*.f64 a a) | overflow | 46 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 62 | |
| ↳ | (+.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 | 121 | |
| ↳ | (*.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 | 122 | |
| ↳ | (*.f64 #s(literal 3 binary64) a) | overflow | 1 | |
| ↳ | (*.f64 b b) | overflow | 52 | |
+.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 | 18 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 77 | |
| ↳ | (*.f64 a a) | overflow | 46 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 62 | |
| ↳ | (*.f64 #s(literal 3 binary64) a) | overflow | 1 | |
| ↳ | (*.f64 b b) | overflow | 52 | |
*.f64 | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 0 |
| - | 0 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 0 |
| - | 0 | 0 | 198 |
| number | freq |
|---|---|
| 0 | 198 |
| 1 | 49 |
| 2 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 476× | 0 | valid |
| 6.0ms | 26× | 1 | valid |
| 3.0ms | 10× | 2 | valid |
Compiled 372 to 80 computations (78.5% saved)
ival-mult: 17.0ms (41.5% of total)ival-add: 9.0ms (22% of total)ival-sub: 6.0ms (14.7% of total)ival-pow2: 5.0ms (12.2% of total)adjust: 2.0ms (4.9% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.2% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
Compiled 33 to 19 computations (42.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) |
| ✓ | cost-diff | 128 | (-.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)) |
| ✓ | cost-diff | 256 | (+.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)))))) |
| ✓ | cost-diff | 5440 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 21 268× | accelerator-lowering-fma.f32 |
| 21 268× | accelerator-lowering-fma.f64 |
| 4 248× | --lowering--.f32 |
| 4 248× | --lowering--.f64 |
| 3 998× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 151 |
| 1 | 57 | 151 |
| 2 | 175 | 151 |
| 3 | 580 | 151 |
| 4 | 1944 | 151 |
| 5 | 3471 | 151 |
| 0 | 8055 | 130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (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) |
(+ (* a a) (* b b)) |
(* a a) |
a |
(* b b) |
b |
2 |
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) |
4 |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(* (* a a) (+ 1 a)) |
(+ 1 a) |
1 |
(* (* b b) (- 1 (* 3 a))) |
(- 1 (* 3 a)) |
(* 3 a) |
3 |
| Outputs |
|---|
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) |
(fma.f64 (*.f64 b b) (+.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -12 binary64) (fma.f64 a a (*.f64 b b)))))) |
(pow (+ (* a a) (* b b)) 2) |
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) |
(+ (* a a) (* b b)) |
(fma.f64 a a (*.f64 b b)) |
(* a a) |
(*.f64 a a) |
a |
(* b b) |
(*.f64 b b) |
b |
2 |
#s(literal 2 binary64) |
(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) |
(fma.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) |
4 |
#s(literal 4 binary64) |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(* (* a a) (+ 1 a)) |
(*.f64 a (fma.f64 a a a)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* (* b b) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(- 1 (* 3 a)) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
(* 3 a) |
(*.f64 a #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.0% | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| ✓ | accuracy | 93.8% | (+.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 | 85.0% | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 45.0ms | 238× | 0 | valid |
| 3.0ms | 13× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
Compiled 153 to 21 computations (86.3% saved)
ival-mult: 26.0ms (66.7% of total)ival-add: 5.0ms (12.8% of total)ival-pow2: 4.0ms (10.3% of total)ival-sub: 2.0ms (5.1% of total)adjust: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow (+ (* a a) (* b b)) 2)> |
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))> |
#<alt (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)> |
#<alt (+ (* a a) (* b b))> |
#<alt (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))> |
#<alt (* (* b b) (- 1 (* 3 a)))> |
| Outputs |
|---|
#<alt (pow b 4)> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))> |
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))> |
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))> |
#<alt (pow a 4)> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))> |
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))> |
#<alt (+ (* 4 (pow b 2)) (pow b 4))> |
#<alt (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))> |
#<alt (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (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)))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))> |
#<alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))> |
#<alt (* (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)))))))> |
#<alt (* (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)))))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))> |
#<alt (* (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)))))))> |
#<alt (* (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)))))))> |
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (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)))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))> |
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))> |
#<alt (* (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))))> |
#<alt (* (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))))> |
#<alt (pow b 2)> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (pow a 2)> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))> |
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))> |
#<alt (* (pow a 2) (+ 1 a))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (* (pow b 2) (- 1 (* 3 a)))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (* -3 (* a (pow b 2)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))> |
#<alt (* -3 (* a (pow b 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (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)))))) |
| 0.0ms | a | @ | 0 | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | a | @ | inf | (pow (+ (* a a) (* b b)) 2) |
| 0.0ms | b | @ | inf | (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) |
| 1× | batch-egg-rewrite |
| 5 620× | accelerator-lowering-fma.f32 |
| 5 620× | accelerator-lowering-fma.f64 |
| 4 066× | /-lowering-/.f32 |
| 4 066× | /-lowering-/.f64 |
| 3 976× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 102 |
| 1 | 132 | 102 |
| 2 | 1240 | 102 |
| 0 | 8235 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (+ (* a a) (* b b)) 2) |
(+ (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) |
(+ (* a a) (* b b)) |
(+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) |
(* (* b b) (- 1 (* 3 a))) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) |
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) |
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))) |
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(*.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))) |
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(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 a a)) |
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(exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) |
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(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 b b) (*.f64 a a)))) |
(fma.f64 a a (*.f64 b b)) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a)) |
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(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a a)) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 b b))))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))))) |
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(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 b b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 a a))) |
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(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)) |
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(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))) |
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(*.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) |
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(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))) (*.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a)))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) (*.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 a (fma.f64 a a a))))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 b b (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)))) |
(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)))) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))))) |
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 b (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) |
(*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 22 048× | accelerator-lowering-fma.f32 |
| 22 048× | accelerator-lowering-fma.f64 |
| 4 280× | *-lowering-*.f32 |
| 4 280× | *-lowering-*.f64 |
| 3 958× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 2332 |
| 1 | 600 | 2246 |
| 2 | 1837 | 2184 |
| 3 | 5819 | 2098 |
| 0 | 8170 | 1858 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (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 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(* (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 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(pow a 4) |
(+ (* 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) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(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 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(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 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(+ (* 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 b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (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) |
(* (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 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))))))) |
(- (+ (* 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 a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(- (+ (* 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 b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (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)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 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 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 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 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 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(* (pow a 2) (+ 1 a)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(* (pow b 2) (- 1 (* 3 a))) |
(pow b 2) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(* -3 (* a (pow b 2))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(* -3 (* a (pow b 2))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
| Outputs |
|---|
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) |
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) |
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b 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 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 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 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) 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 #s(literal 4 binary64) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) 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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) |
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (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 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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))))))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(* (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 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) #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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #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 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 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 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) 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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (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 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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)))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (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 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a a)) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 a (fma.f64 b (*.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (*.f64 b b)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
(*.f64 (*.f64 a a) (+.f64 a (fma.f64 a (*.f64 (/.f64 b (*.f64 a a)) (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) #s(literal 1 binary64)))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64)) a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(*.f64 (*.f64 a (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) a)) a))) |
(* (pow a 2) (+ 1 a)) |
(*.f64 a (fma.f64 a a a)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 a (fma.f64 b (*.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (*.f64 b b)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 a (fma.f64 b (*.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (*.f64 b b)) |
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a)))) |
(fma.f64 a (fma.f64 b (*.f64 b #s(literal -3 binary64)) (fma.f64 a a a)) (*.f64 b b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 (/.f64 (fma.f64 a a a) (*.f64 b b)) #s(literal -3 binary64)) #s(literal 1 binary64))) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (- 1 (* 3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* -3 (* a (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) #s(literal -3 binary64))) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* -3 (* a (pow b 2))) |
(*.f64 a (*.f64 (*.f64 b b) #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
Compiled 59 944 to 2 576 computations (95.7% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 15 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 670 | 15 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| 19.4% | (fma.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) | |
| ▶ | 45.9% | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) |
| 67.4% | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 67.3% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| ▶ | 79.0% | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| 15.3% | (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64)) | |
| 77.2% | (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) | |
| 77.2% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.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)) | |
| 60.9% | (-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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)) | |
| ▶ | 66.3% | (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
| 35.0% | (*.f64 (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))) | |
| ▶ | 51.1% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
| 43.6% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) | |
| 43.3% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| ▶ | 43.0% | (*.f64 a (*.f64 a (*.f64 a a))) |
Compiled 1 132 to 446 computations (60.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (fma.f64 a a (*.f64 b b)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) |
| ✓ | cost-diff | 2752 | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 0 | (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
| ✓ | cost-diff | 320 | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| 9 898× | accelerator-lowering-fma.f32 |
| 9 898× | accelerator-lowering-fma.f64 |
| 3 598× | *-lowering-*.f32 |
| 3 598× | *-lowering-*.f64 |
| 2 364× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 407 |
| 1 | 155 | 395 |
| 2 | 511 | 377 |
| 3 | 2377 | 377 |
| 4 | 7191 | 377 |
| 0 | 8125 | 336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
b |
(* b (+ (* b b) 4)) |
(+ (* b b) 4) |
4 |
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1) |
a |
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a)) |
(* b b) |
(+ (* 2 a) -12) |
2 |
-12 |
(* 4 a) |
-1 |
(* a (* a (* a a))) |
a |
(* a (* a a)) |
(* a a) |
(- (* a (* a (* a a))) 1) |
(* a (* a (* a a))) |
a |
(* a (* a a)) |
(* a a) |
1 |
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))) |
(* a (* a (* a a))) |
a |
(* a (* a a)) |
(* a a) |
(- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)) |
1 |
(/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a) |
(- -4 (/ (+ (* b (* b 2)) 4) a)) |
-4 |
(/ (+ (* b (* b 2)) 4) a) |
(+ (* b (* b 2)) 4) |
b |
(* b 2) |
2 |
4 |
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)) |
(* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) |
(+ (* a a) (* b b)) |
a |
(* b b) |
b |
(* (+ (* a a) (* b b)) (* (+ a b) (- a b))) |
(* (+ a b) (- a b)) |
(+ a b) |
(- a b) |
(/ 1 (* (+ a b) (- a b))) |
1 |
(+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1) |
4 |
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))) |
(* b (+ (* a -3) 1)) |
(+ (* a -3) 1) |
-3 |
(* a (+ (* a a) a)) |
(+ (* a a) a) |
-1 |
| Outputs |
|---|
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) |
b |
(* b (+ (* b b) 4)) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(+ (* b b) 4) |
(fma.f64 b b #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
a |
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a)) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(* b b) |
(*.f64 b b) |
(+ (* 2 a) -12) |
(fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) |
2 |
#s(literal 2 binary64) |
-12 |
#s(literal -12 binary64) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
-1 |
#s(literal -1 binary64) |
(* a (* a (* a a))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(* a (* a a)) |
(*.f64 a (*.f64 a a)) |
(* a a) |
(*.f64 a a) |
(- (* a (* a (* a a))) 1) |
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)) |
(* a (* a (* a a))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(* a (* a a)) |
(*.f64 a (*.f64 a a)) |
(* a a) |
(*.f64 a a) |
1 |
#s(literal 1 binary64) |
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))) |
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) a)) |
(* a (* a (* a a))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(* a (* a a)) |
(*.f64 a (*.f64 a a)) |
(* a a) |
(*.f64 a a) |
(- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) 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)) |
1 |
#s(literal 1 binary64) |
(/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a) |
(- -4 (/ (+ (* b (* b 2)) 4) a)) |
(+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) |
-4 |
#s(literal -4 binary64) |
(/ (+ (* b (* b 2)) 4) a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(+ (* b (* b 2)) 4) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
b |
(* b 2) |
(*.f64 b #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
4 |
#s(literal 4 binary64) |
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 (*.f64 b b) #s(literal -3 binary64) (fma.f64 a a a)) (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) |
(* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) |
(*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b)))) |
(+ (* a a) (* b b)) |
(fma.f64 b b (*.f64 a a)) |
a |
(* b b) |
(*.f64 b b) |
b |
(* (+ (* a a) (* b b)) (* (+ a b) (- a b))) |
(*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 b a) (-.f64 a b))) |
(* (+ a b) (- a b)) |
(*.f64 (+.f64 b a) (-.f64 a b)) |
(+ a b) |
(+.f64 b a) |
(- a b) |
(-.f64 a b) |
(/ 1 (* (+ a b) (- a b))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) |
1 |
#s(literal 1 binary64) |
(+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1) |
(fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 (*.f64 b b) #s(literal -3 binary64) (fma.f64 a a a)) (*.f64 b b)) #s(literal -1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))) |
(fma.f64 a (fma.f64 (*.f64 b b) #s(literal -3 binary64) (fma.f64 a a a)) (*.f64 b b)) |
(* b (+ (* a -3) 1)) |
(fma.f64 #s(literal -3 binary64) (*.f64 b a) b) |
(+ (* a -3) 1) |
(fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) |
-3 |
#s(literal -3 binary64) |
(* a (+ (* a a) a)) |
(*.f64 a (fma.f64 a a a)) |
(+ (* a a) a) |
(fma.f64 a a a) |
-1 |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) |
| ✓ | accuracy | 95.5% | (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) |
| ✓ | accuracy | 55.7% | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 98.1% | (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a) |
| ✓ | accuracy | 96.0% | (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a) |
| ✓ | accuracy | 61.2% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 99.9% | (*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) |
| ✓ | accuracy | 98.4% | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| ✓ | accuracy | 93.8% | (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
| 79.0ms | 238× | 0 | valid |
| 8.0ms | 13× | 1 | valid |
| 6.0ms | 5× | 2 | valid |
Compiled 384 to 53 computations (86.2% saved)
ival-mult: 31.0ms (46.8% of total)ival-add: 21.0ms (31.7% of total)ival-sub: 6.0ms (9.1% of total)ival-div: 5.0ms (7.5% of total)adjust: 2.0ms (3% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))> |
#<alt (* b (+ (* b b) 4))> |
#<alt (+ (* b b) 4)> |
#<alt (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)> |
#<alt (* a (* a (* a a)))> |
#<alt (* a (* a a))> |
#<alt (* a a)> |
#<alt (- (* a (* a (* a a))) 1)> |
#<alt (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)))> |
#<alt (+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1))> |
#<alt (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b))))> |
#<alt (+ (* a a) (* b b))> |
#<alt (* b b)> |
#<alt (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))> |
#<alt (/ (+ (* b (* b 2)) 4) a)> |
#<alt (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a)> |
#<alt (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))> |
#<alt (/ 1 (* (+ a b) (- a b)))> |
#<alt (* b (+ (* a -3) 1))> |
| Outputs |
|---|
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)> |
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)> |
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (* 4 b)> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt 4> |
#<alt (+ 4 (pow b 2))> |
#<alt (+ 4 (pow b 2))> |
#<alt (+ 4 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt -1> |
#<alt (- (* -12 (* a (pow b 2))) 1)> |
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)> |
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt -1> |
#<alt (- (pow a 4) 1)> |
#<alt (- (pow a 4) 1)> |
#<alt (- (pow a 4) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))> |
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))> |
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))> |
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))))> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))> |
#<alt (* 2 (* (pow a 2) (pow b 2)))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))> |
#<alt (* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2))))> |
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))> |
#<alt (* (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)))))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))> |
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))> |
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)> |
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)> |
#<alt (- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))> |
#<alt (* -1 (pow b 6))> |
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))> |
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))> |
#<alt (+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))> |
#<alt (pow a 6)> |
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))> |
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))> |
#<alt (* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))> |
#<alt (pow a 6)> |
#<alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))> |
#<alt (* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))> |
#<alt (* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))> |
#<alt (pow a 6)> |
#<alt (+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))> |
#<alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))> |
#<alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))> |
#<alt (* -1 (pow b 6))> |
#<alt (* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))> |
#<alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))> |
#<alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1))> |
#<alt (* -1 (pow b 6))> |
#<alt (* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))> |
#<alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))> |
#<alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1))> |
#<alt (pow b 2)> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))> |
#<alt (pow a 2)> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (+ (pow a 2) (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (* 4 a)> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (* 2 a) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (* 2 a) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* -12 (pow b 2))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (* 2 (pow b 2))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* -1 (* a (- (* -2 (pow b 2)) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (/ 4 a)> |
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))> |
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))> |
#<alt (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))> |
#<alt (* 2 (/ (pow b 2) a))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* 2 (/ (pow b 2) a))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2))))))> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (/ (+ 4 (* 2 (pow b 2))) a)> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
#<alt (+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))> |
#<alt (+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))> |
#<alt (+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))> |
#<alt (* -2 (/ (pow b 2) (pow a 2)))> |
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))> |
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))> |
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))> |
#<alt (* -2 (/ (pow b 2) (pow a 2)))> |
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))> |
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))> |
#<alt (* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2)))))> |
#<alt (* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2)))> |
#<alt (/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))> |
#<alt (/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))> |
#<alt (/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2))> |
#<alt (/ -4 a)> |
#<alt (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)> |
#<alt (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)> |
#<alt (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)> |
#<alt (/ -4 a)> |
#<alt (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))> |
#<alt (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))> |
#<alt (* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a))> |
#<alt (* a (+ a (pow a 2)))> |
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))> |
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))> |
#<alt (+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))> |
#<alt (* (pow b 2) (+ 1 (* -3 a)))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* -3 a)))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (+ (* -3 (* a (pow b 2))) (pow b 2))> |
#<alt (+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))> |
#<alt (+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (/ 1 a)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))> |
#<alt (/ -1 (pow b 2))> |
#<alt (- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))> |
#<alt (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a))) (pow a 2))> |
#<alt (/ (- (+ 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))))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))> |
#<alt (+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))> |
#<alt (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))> |
#<alt (/ -1 (pow b 2))> |
#<alt (/ (- (* -1 (/ (+ a (* -1 a)) b)) 1) (pow b 2))> |
#<alt (/ (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (pow b 2))> |
#<alt (/ (- (* -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))))))) (pow b 2))> |
#<alt (/ -1 (pow b 2))> |
#<alt (/ (- (+ (* -1 (/ a b)) (/ a b)) 1) (pow b 2))> |
#<alt (/ (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1) (pow b 2))> |
#<alt (/ (- (* -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) (pow b 2))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt (* b (+ 1 (* -3 a)))> |
#<alt b> |
#<alt (+ b (* -3 (* a b)))> |
#<alt (+ b (* -3 (* a b)))> |
#<alt (+ b (* -3 (* a b)))> |
#<alt (* -3 (* a b))> |
#<alt (* a (+ (* -3 b) (/ b a)))> |
#<alt (* a (+ (* -3 b) (/ b a)))> |
#<alt (* a (+ (* -3 b) (/ b a)))> |
#<alt (* -3 (* a b))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | a | @ | inf | (+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)) |
| 3.0ms | b | @ | 0 | (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))) |
| 2.0ms | b | @ | 0 | (+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
| 1.0ms | b | @ | inf | (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))) |
| 1.0ms | a | @ | 0 | (/ 1 (* (+ a b) (- a b))) |
| 1× | batch-egg-rewrite |
| 7 810× | *-lowering-*.f32 |
| 7 810× | *-lowering-*.f64 |
| 4 522× | accelerator-lowering-fma.f32 |
| 4 522× | accelerator-lowering-fma.f64 |
| 3 918× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 249 |
| 1 | 362 | 213 |
| 2 | 3596 | 213 |
| 0 | 10696 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
(* b (+ (* b b) 4)) |
(+ (* b b) 4) |
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1) |
(* a (* a (* a a))) |
(* a (* a a)) |
(* a a) |
(- (* a (* a (* a a))) 1) |
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a))) |
(+ (* (* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) (/ 1 (* (+ a b) (- a b)))) (+ (* 4 (+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a)))) -1)) |
(* (+ (* a a) (* b b)) (* (+ (* a a) (* b b)) (* (+ a b) (- a b)))) |
(+ (* a a) (* b b)) |
(* b b) |
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a)) |
(/ (+ (* b (* b 2)) 4) a) |
(/ (- -4 (/ (+ (* b (* b 2)) 4) a)) a) |
(+ (* b (* b (+ (* a -3) 1))) (* a (+ (* a a) a))) |
(/ 1 (* (+ a b) (- a b))) |
(* b (+ (* a -3) 1)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) |
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) |
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) |
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(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b) (*.f64 a (fma.f64 a a a))) |
(fma.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) b (*.f64 a (fma.f64 a a a))) |
(fma.f64 (fma.f64 a a a) a (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(fma.f64 (+.f64 a #s(literal 1 binary64)) (*.f64 a a) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 a a (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))) (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))) (fma.f64 a (*.f64 (fma.f64 a a a) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))) (*.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))))))) |
(/.f64 (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a)))))) (neg.f64 (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) (neg.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))) (*.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))) (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 (*.f64 a (fma.f64 a a a)) (*.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) (*.f64 (*.f64 a (fma.f64 a a a)) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))))) |
(*.f64 (*.f64 (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (*.f64 a (fma.f64 a a a))) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b) (neg.f64 (*.f64 a (fma.f64 a a a)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (neg.f64 (-.f64 a b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 b a)) |
(pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 a b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 a b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) |
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 b a) (*.f64 a a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 (+.f64 b a) (-.f64 a b))) (+.f64 b a)) |
(+.f64 b (*.f64 b (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) b) |
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(fma.f64 a (*.f64 #s(literal -3 binary64) b) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 b (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (*.f64 b a) b) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) b b) |
(fma.f64 (*.f64 b a) #s(literal -3 binary64) b) |
(fma.f64 (*.f64 b #s(literal -3 binary64)) a b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64)) (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 b (*.f64 a #s(literal -3 binary64))) (-.f64 (*.f64 b b) (*.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) (*.f64 b (*.f64 a #s(literal -3 binary64)))) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 a #s(literal -3 binary64))) b)) |
(/.f64 (*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 a a) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal -27 binary64) #s(literal 1 binary64)) b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64)) b) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))) |
(*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) |
| 1× | egg-herbie |
| 9 182× | accelerator-lowering-fma.f32 |
| 9 182× | accelerator-lowering-fma.f64 |
| 4 122× | *-lowering-*.f32 |
| 4 122× | *-lowering-*.f64 |
| 3 352× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 4948 |
| 1 | 1879 | 4669 |
| 2 | 6703 | 4614 |
| 0 | 8572 | 4221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
4 |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
-1 |
(- (* -12 (* a (pow b 2))) 1) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
-1 |
(- (pow a 4) 1) |
(- (pow a 4) 1) |
(- (pow a 4) 1) |
(pow a 4) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(pow a 4) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(* (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))))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (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))) (* (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))) |
(* (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)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (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 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)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (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)))) |
(- (+ (* 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 a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a)))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* -1 (pow b 6)) |
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5)))) |
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5))))) |
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5))))) |
(pow a 6) |
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) |
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a)))))) |
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a)))))))) |
(pow a 6) |
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) |
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a)))) |
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a)))) |
(pow a 6) |
(+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6)) |
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6)) |
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6)) |
(* -1 (pow b 6)) |
(* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1)) |
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1)) |
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1)) |
(* -1 (pow b 6)) |
(* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) |
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1)) |
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1)) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(pow a 2) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(+ (pow a 2) (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(pow b 2) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* 4 a) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (* 2 a) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (* 2 a) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(/ 4 a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(* -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 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 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 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ (+ (* -4 a) (* -1 (+ 4 (* 2 (pow b 2))))) (pow a 2)) |
(/ -4 a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/ -4 a) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
(* a (+ a (pow a 2))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 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 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 3) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
(/ -1 (pow b 2)) |
(- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) |
(- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(/ 1 (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))))) (pow a 2)) |
(/ 1 (pow a 2)) |
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2)) |
(/ 1 (pow a 2)) |
(+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4))) |
(+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2))) |
(+ (* (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 (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))))))) (pow b 2)) |
(/ -1 (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) (pow b 2)) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
(* b (+ 1 (* -3 a))) |
b |
(+ b (* -3 (* a b))) |
(+ b (* -3 (* a b))) |
(+ b (* -3 (* a b))) |
(* -3 (* a b)) |
(* a (+ (* -3 b) (/ b a))) |
(* a (+ (* -3 b) (/ b a))) |
(* a (+ (* -3 b) (/ b a))) |
(* -3 (* a b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
| Outputs |
|---|
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))) (/.f64 #s(literal -1 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))))) (/ 1 (pow a 2)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) a)) a))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) a)) a))) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -12 (* a (pow b 2))) 1) |
(fma.f64 a (*.f64 (*.f64 b b) #s(literal -12 binary64)) #s(literal -1 binary64)) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) a)) a))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) a)) a))) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) #s(literal -1 binary64))) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(*.f64 (*.f64 b b) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
-1 |
#s(literal -1 binary64) |
(- (pow a 4) 1) |
(+.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(+.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(+.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 4) (- 1 (/ 1 (pow a 4)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (+ 4 a))))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a))) |
(* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 a (*.f64 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 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 a (*.f64 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 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 a (*.f64 a #s(literal 2 binary64))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 a a) b) b)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- 1 (* -1 (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2))))))) (pow b 2)))) |
(*.f64 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 a (*.f64 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 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 a (*.f64 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 (*.f64 b b) (fma.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 a (*.f64 a #s(literal 2 binary64))))) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #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 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (fma.f64 b 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 #s(literal -1 binary64) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -12 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 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 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) (/.f64 #s(literal 4 binary64) (*.f64 a a))))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a)))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) 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) (fma.f64 (*.f64 b b) (/.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))) a)) a))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1) |
(+.f64 (fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1) |
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 a a a) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))) |
(* -1 (pow b 6)) |
(neg.f64 (pow.f64 b #s(literal 6 binary64))) |
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5)))) |
(neg.f64 (pow.f64 b #s(literal 6 binary64))) |
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5))))) |
(fma.f64 a (neg.f64 (*.f64 a (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) |
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5))))) |
(fma.f64 a (neg.f64 (*.f64 a (*.f64 b (*.f64 b (*.f64 b b))))) (neg.f64 (pow.f64 b #s(literal 6 binary64)))) |
(pow a 6) |
(pow.f64 a #s(literal 6 binary64)) |
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) |
(pow.f64 a #s(literal 6 binary64)) |
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a)))))) |
(*.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))) |
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a)))))))) |
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))) (/.f64 b a))) (/.f64 b a)) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal -2 binary64) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))) |
(pow a 6) |
(pow.f64 a #s(literal 6 binary64)) |
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) |
(pow.f64 a #s(literal 6 binary64)) |
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) (*.f64 (/.f64 (*.f64 b b) a) #s(literal -2 binary64))) a))) |
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a)))) |
(*.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b (*.f64 b b)) a) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b (*.f64 b b)) a) (*.f64 b b))) a) a))) |
(pow a 6) |
(pow.f64 a #s(literal 6 binary64)) |
(+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6)) |
(pow.f64 a #s(literal 6 binary64)) |
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6)) |
(fma.f64 b (*.f64 b (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) |
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6)) |
(fma.f64 b (*.f64 b (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) |
(* -1 (pow b 6)) |
(neg.f64 (pow.f64 b #s(literal 6 binary64))) |
(* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1)) |
(neg.f64 (pow.f64 b #s(literal 6 binary64))) |
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1)) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 a (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal -1 binary64)))) |
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1)) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 a (/.f64 a (*.f64 b b))))))) |
(* -1 (pow b 6)) |
(neg.f64 (pow.f64 b #s(literal 6 binary64))) |
(* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) |
(neg.f64 (pow.f64 b #s(literal 6 binary64))) |
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1)) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b))))) |
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1)) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b))))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 a a (*.f64 b b)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 a a (*.f64 b b)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 a a (*.f64 b b)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))) |
(pow a 2) |
(*.f64 a a) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 a a (*.f64 b b)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 a a (*.f64 b b)) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 a a (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 b (*.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
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(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(* (pow b 2) (- (* 2 a) 12)) |
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(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
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(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
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(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* -12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -12 binary64)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(* a (+ 4 (* 2 (pow b 2)))) |
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(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
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(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
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(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a)) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a)) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a)) |
(* 2 (/ (pow b 2) a)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b))))) |
(* 2 (/ (pow b 2) a)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b))))) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b))))) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(/ (+ 4 (* 2 (pow b 2))) a) |
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(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a)) a) |
(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
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(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
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(+ (* -2 (/ (pow b 2) (pow a 2))) (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal -2 binary64) (*.f64 a a)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) |
(* -2 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 a a)) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.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)))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.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)))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.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)))) |
(* -2 (/ (pow b 2) (pow a 2))) |
(/.f64 (*.f64 b (*.f64 b #s(literal -2 binary64))) (*.f64 a a)) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.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)))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 b b) (+.f64 (/.f64 (+.f64 (/.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)))) |
(* (pow b 2) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) (pow b 2))) (* 2 (/ 1 (pow a 2))))) |
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(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/.f64 (fma.f64 b (*.f64 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 a #s(literal -4 binary64) (fma.f64 b (*.f64 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 a #s(literal -4 binary64) (fma.f64 b (*.f64 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 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64))) (*.f64 a a)) |
(/ -4 a) |
(/.f64 #s(literal -4 binary64) a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/.f64 (+.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/.f64 (+.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a) |
(/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a) |
(/.f64 (+.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal -2 binary64)) #s(literal -4 binary64)) a) #s(literal -4 binary64)) a) |
(/ -4 a) |
(/.f64 #s(literal -4 binary64) a) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
(/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a))) (neg.f64 a)) |
(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
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(* -1 (/ (+ 4 (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a)))) a)) |
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(* a (+ a (pow a 2))) |
(*.f64 a (fma.f64 a a a)) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a)))) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(* (pow b 2) (+ 1 (* -3 a))) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (* -3 a))) |
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(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
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(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a (pow b 2))) (pow b 2)) |
(*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)) |
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2)) |
(fma.f64 a a (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2)) |
(fma.f64 a (fma.f64 a a a) (*.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a)))) |
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(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))))) |
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(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (/ 1 a))) |
(*.f64 a (fma.f64 a a a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1))) |
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(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1))) |
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(/ -1 (pow b 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 b b)) |
(- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (*.f64 b b)) |
(- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b b))) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a))) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ (- (+ 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))))) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2)) |
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)) |
(/ 1 (pow a 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 a a)) |
(+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4))) |
(fma.f64 b (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2))) |
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) |
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a a))) |
(/ -1 (pow b 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 b b)) |
(/ (- (* -1 (/ (+ a (* -1 a)) b)) 1) (pow b 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 b b)) |
(/ (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (pow b 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (*.f64 b b)) |
(/ (- (* -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))))))) (pow b 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (*.f64 b b)) |
(/ -1 (pow b 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 b b)) |
(/ (- (+ (* -1 (/ a b)) (/ a b)) 1) (pow b 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 b b)) |
(/ (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1) (pow b 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (*.f64 b b)) |
(/ (- (* -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) (pow b 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 a (*.f64 b b)))) (*.f64 b b)) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* b (+ 1 (* -3 a))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
b |
(+ b (* -3 (* a b))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(+ b (* -3 (* a b))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(+ b (* -3 (* a b))) |
(fma.f64 b (*.f64 a #s(literal -3 binary64)) b) |
(* -3 (* a b)) |
(*.f64 b (*.f64 a #s(literal -3 binary64))) |
(* a (+ (* -3 b) (/ b a))) |
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) |
(* a (+ (* -3 b) (/ b a))) |
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) |
(* a (+ (* -3 b) (/ b a))) |
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) |
(* -3 (* a b)) |
(*.f64 b (*.f64 a #s(literal -3 binary64))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b)))) |
(*.f64 a (fma.f64 b #s(literal -3 binary64) (/.f64 b a))) |
Compiled 41 023 to 2 307 computations (94.4% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 079 | 10 | 1 089 |
| Fresh | 4 | 6 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 087 | 17 | 1 104 |
| Status | Accuracy | Program |
|---|---|---|
| 19.4% | (fma.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) | |
| 51.1% | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) | |
| 67.4% | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 67.3% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| ▶ | 79.0% | (fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| ▶ | 67.4% | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
| 44.7% | (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) | |
| ▶ | 43.0% | (pow.f64 a #s(literal 4 binary64)) |
| 77.2% | (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.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)) | |
| 60.9% | (-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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)) | |
| 43.6% | (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) | |
| ▶ | 42.9% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
| 43.6% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) | |
| 43.0% | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| 43.3% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| ✓ | 43.0% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ▶ | 24.9% | #s(literal -1 binary64) |
Compiled 651 to 341 computations (47.6% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 5504 | (pow.f64 a #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | cost-diff | 1856 | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
| ✓ | cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 b #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 b #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| ✓ | cost-diff | 12928 | (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) |
| 10 708× | accelerator-lowering-fma.f32 |
| 10 708× | accelerator-lowering-fma.f64 |
| 2 098× | *-lowering-*.f32 |
| 2 098× | *-lowering-*.f64 |
| 2 064× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 176 |
| 1 | 98 | 170 |
| 2 | 266 | 168 |
| 3 | 693 | 168 |
| 4 | 1845 | 168 |
| 5 | 4597 | 166 |
| 6 | 7379 | 166 |
| 0 | 8315 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
b |
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4)) |
(pow b 3/2) |
3/2 |
(* b 4) |
4 |
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1) |
a |
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a)) |
(* b b) |
(+ (* 2 a) -12) |
2 |
-12 |
(* 4 a) |
-1 |
-1 |
(+ (* b (* b (+ (* b b) 4))) -1) |
b |
(* b (+ (* b b) 4)) |
(+ (* b b) 4) |
4 |
-1 |
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a))) |
(* a (* a (* a a))) |
a |
(* a (* a a)) |
(* a a) |
(- 1 (/ (- -4 (/ 4 a)) a)) |
1 |
(/ (- -4 (/ 4 a)) a) |
(- -4 (/ 4 a)) |
-4 |
(/ 4 a) |
4 |
(pow a 4) |
a |
4 |
| Outputs |
|---|
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) |
b |
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4)) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(pow b 3/2) |
(pow.f64 b #s(literal 3/2 binary64)) |
3/2 |
#s(literal 3/2 binary64) |
(* b 4) |
(*.f64 b #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) |
a |
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a)) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 a #s(literal 4 binary64))) |
(* b b) |
(*.f64 b b) |
(+ (* 2 a) -12) |
(fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) |
2 |
#s(literal 2 binary64) |
-12 |
#s(literal -12 binary64) |
(* 4 a) |
(*.f64 a #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* b (* b (+ (* b b) 4))) -1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
b |
(* b (+ (* b b) 4)) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(+ (* b b) 4) |
(fma.f64 b b #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
-1 |
#s(literal -1 binary64) |
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* a (* a (* a a))) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
(* a (* a a)) |
(*.f64 a (*.f64 a a)) |
(* a a) |
(*.f64 a a) |
(- 1 (/ (- -4 (/ 4 a)) a)) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a)) |
1 |
#s(literal 1 binary64) |
(/ (- -4 (/ 4 a)) a) |
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -4 binary64)) a) |
(- -4 (/ 4 a)) |
(+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -4 binary64)) |
-4 |
#s(literal -4 binary64) |
(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
4 |
#s(literal 4 binary64) |
(pow a 4) |
(*.f64 a (*.f64 a (*.f64 a a))) |
a |
4 |
#s(literal 4 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 a #s(literal 4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a a)) |
| ✓ | accuracy | 62.2% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
| ✓ | accuracy | 100.0% | (fma.f64 b b #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) |
| ✓ | accuracy | 98.4% | (fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| ✓ | accuracy | 93.8% | (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
| 61.0ms | 256× | 0 | valid |
Compiled 174 to 38 computations (78.2% saved)
ival-mult: 19.0ms (43.7% of total)ival-pow: 10.0ms (23% of total)ival-add: 7.0ms (16.1% of total)ival-div: 3.0ms (6.9% of total)ival-sub: 2.0ms (4.6% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))> |
#<alt (+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))> |
#<alt (pow b 3/2)> |
#<alt (* b 4)> |
#<alt (+ (* b (* b (+ (* b b) 4))) -1)> |
#<alt (* b (+ (* b b) 4))> |
#<alt (+ (* b b) 4)> |
#<alt (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a)))> |
#<alt (* a (* a (* a a)))> |
#<alt (* a (* a a))> |
#<alt (* a a)> |
#<alt (pow a 4)> |
#<alt (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)> |
#<alt (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))> |
#<alt (/ (- -4 (/ 4 a)) a)> |
| Outputs |
|---|
#<alt (* 4 b)> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* -1 (* (pow b 3) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))> |
#<alt (* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2))))))> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* -1 (* (pow b 4) (pow (sqrt -1) 2)))> |
#<alt (* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (- (* b (+ (* 4 b) (pow b 3))) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (* b (+ (* 4 b) (pow b 3)))) 1)> |
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1)> |
#<alt (- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt (* 4 b)> |
#<alt -1> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)> |
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* 4 b)> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt 4> |
#<alt (+ 4 (pow b 2))> |
#<alt (+ 4 (pow b 2))> |
#<alt (+ 4 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* 4 (pow a 2))> |
#<alt (* (pow a 2) (+ 4 (* 4 a)))> |
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))> |
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 3)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt -1> |
#<alt (- (* -12 (* a (pow b 2))) 1)> |
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)> |
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* 4 a)> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (* 2 a) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (* 2 a) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* -12 (pow b 2))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (* 2 (pow b 2))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* -1 (* a (- (* -2 (pow b 2)) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (/ -4 (pow a 2))> |
#<alt (/ (- (* -4 a) 4) (pow a 2))> |
#<alt (/ (- (* -4 a) 4) (pow a 2))> |
#<alt (/ (- (* -4 a) 4) (pow a 2))> |
#<alt (/ -4 a)> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
#<alt (/ -4 a)> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
#<alt (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | inf | (* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a))) |
| 1.0ms | b | @ | -inf | (pow b 3/2) |
| 1.0ms | b | @ | -inf | (+ (* (pow b 3/2) (pow b 3/2)) (* b 4)) |
| 1.0ms | b | @ | 0 | (pow b 3/2) |
| 0.0ms | b | @ | -inf | (+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
| 1× | batch-egg-rewrite |
| 6 218× | *-lowering-*.f32 |
| 6 218× | *-lowering-*.f64 |
| 4 124× | /-lowering-/.f32 |
| 4 124× | /-lowering-/.f64 |
| 3 930× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 125 |
| 1 | 237 | 125 |
| 2 | 2050 | 125 |
| 0 | 9115 | 110 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (pow b 3/2) (pow b 3/2)) (* b 4)) |
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1)) |
(pow b 3/2) |
(* b 4) |
(+ (* b (* b (+ (* b b) 4))) -1) |
(* b (+ (* b b) 4)) |
(+ (* b b) 4) |
(* (* a (* a (* a a))) (- 1 (/ (- -4 (/ 4 a)) a))) |
(* a (* a (* a a))) |
(* a (* a a)) |
(* a a) |
(pow a 4) |
(+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1) |
(+ (* (* b b) (+ (* 2 a) -12)) (* 4 a)) |
(/ (- -4 (/ 4 a)) a) |
| Outputs |
|---|
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64))) |
(+.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))) |
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 (*.f64 (*.f64 b b) #s(literal 16 binary64)) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) |
(fma.f64 b #s(literal 4 binary64) (*.f64 b (*.f64 b b))) |
(fma.f64 b (*.f64 b b) (*.f64 b #s(literal 4 binary64))) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) b (*.f64 b (*.f64 b b))) |
(fma.f64 (*.f64 b b) b (*.f64 b #s(literal 4 binary64))) |
(fma.f64 (pow.f64 b #s(literal 3/4 binary64)) (pow.f64 b #s(literal 9/4 binary64)) (*.f64 b #s(literal 4 binary64))) |
(fma.f64 (pow.f64 b #s(literal 9/4 binary64)) (pow.f64 b #s(literal 3/4 binary64)) (*.f64 b #s(literal 4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (fma.f64 (*.f64 b b) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 16 binary64)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b)))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) #s(literal 64 binary64)) b) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 16 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -16 binary64)) b) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (*.f64 (*.f64 b b) #s(literal 16 binary64)))) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #s(literal -1 binary64)) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (*.f64 b b))))))) |
(*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) |
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))))) |
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) |
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) |
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) #s(literal -1 binary64)) |
(+.f64 (+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b (*.f64 b #s(literal 4 binary64)))) |
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) |
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(pow.f64 (*.f64 a a) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 a (*.f64 a a)) |
(*.f64 (*.f64 a a) a) |
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) |
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(pow.f64 a #s(literal 2 binary64)) |
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(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) a))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 a (+.f64 #s(literal -64 binary64) (/.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 16 binary64)))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 16 binary64) (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))) |
| 1× | egg-herbie |
| 21 304× | accelerator-lowering-fma.f32 |
| 21 304× | accelerator-lowering-fma.f64 |
| 5 638× | *-lowering-*.f32 |
| 5 638× | *-lowering-*.f64 |
| 2 786× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2068 |
| 1 | 523 | 2028 |
| 2 | 1565 | 1926 |
| 3 | 5377 | 1894 |
| 0 | 8615 | 1696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 b) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2)))))) |
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* -1 (* (pow b 4) (pow (sqrt -1) 2))) |
(* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(- (* b (+ (* 4 b) (pow b 3))) 1) |
(- (+ (* -12 (* a (pow b 2))) (* b (+ (* 4 b) (pow b 3)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a)))) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
(* 4 b) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
4 |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 3) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
-1 |
(- (* -12 (* a (pow b 2))) 1) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* 4 a) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (* 2 a) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (* 2 a) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(/ -4 (pow a 2)) |
(/ (- (* -4 a) 4) (pow a 2)) |
(/ (- (* -4 a) 4) (pow a 2)) |
(/ (- (* -4 a) 4) (pow a 2)) |
(/ -4 a) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/ -4 a) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
| Outputs |
|---|
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* -1 (* (pow b 3) (pow (sqrt -1) 2))) |
(*.f64 b (*.f64 b b)) |
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* -1 (* (pow b 3) (- (pow (sqrt -1) 2) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* -1 (* (pow b 4) (pow (sqrt -1) 2))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))) |
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(- (* b (+ (* 4 b) (pow b 3))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* b (+ (* 4 b) (pow b 3)))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 4 b) (pow b 3)))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* b (+ (* 4 b) (pow b 3))) 1) a)) (* 12 (pow b 2))) a)))) |
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(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
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(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
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#s(literal 4 binary64) |
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(+ 4 (pow b 2)) |
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(*.f64 b b) |
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(*.f64 b b) |
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(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
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(*.f64 #s(literal 4 binary64) a) |
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(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
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(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(/ -4 (pow a 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 a a)) |
(/ (- (* -4 a) 4) (pow a 2)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(/ (- (* -4 a) 4) (pow a 2)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(/ (- (* -4 a) 4) (pow a 2)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(/ -4 a) |
(/.f64 #s(literal -4 binary64) a) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(/ -4 a) |
(/.f64 #s(literal -4 binary64) a) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
(* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) |
(/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)) |
Compiled 52 337 to 2 073 computations (96% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 784 | 11 | 795 |
| Fresh | 3 | 8 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 789 | 23 | 812 |
| Status | Accuracy | Program |
|---|---|---|
| 67.4% | (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| ▶ | 79.0% | (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) |
| 51.1% | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) | |
| 67.3% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| 79.0% | (fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 b (*.f64 b b))) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) | |
| 38.2% | (fma.f64 b (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #s(literal -1 binary64)) | |
| ✓ | 67.4% | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
| ▶ | 47.1% | (fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
| 46.7% | (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 44.7% | (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) | |
| ✓ | 43.0% | (pow.f64 a #s(literal 4 binary64)) |
| 60.9% | (-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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)) | |
| 43.6% | (*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) | |
| 42.5% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)))) | |
| 43.6% | (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) | |
| ▶ | 43.0% | (*.f64 (*.f64 a a) (*.f64 a a)) |
| 44.0% | (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) | |
| 43.3% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| ▶ | 43.5% | (*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
| 16.9% | (*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) | |
| ✓ | 43.0% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ▶ | 21.3% | (*.f64 #s(literal 4 binary64) (*.f64 a a)) |
| ✓ | 24.9% | #s(literal -1 binary64) |
Compiled 680 to 391 computations (42.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) |
| ✓ | cost-diff | 0 | (fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 4 binary64) a) |
| ✓ | cost-diff | 0 | (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a a) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a a) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4 binary64) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (pow.f64 b #s(literal 5/2 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 b #s(literal 3/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 320 | (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| 11 966× | accelerator-lowering-fma.f32 |
| 11 966× | accelerator-lowering-fma.f64 |
| 2 822× | *-lowering-*.f32 |
| 2 822× | *-lowering-*.f64 |
| 1 966× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 243 |
| 1 | 113 | 231 |
| 2 | 277 | 225 |
| 3 | 652 | 225 |
| 4 | 1843 | 225 |
| 5 | 2992 | 225 |
| 6 | 4254 | 225 |
| 7 | 6330 | 225 |
| 8 | 7500 | 225 |
| 0 | 8118 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))) |
(pow b 3/2) |
b |
3/2 |
(pow b 5/2) |
5/2 |
(+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)) |
(* b 4) |
4 |
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1) |
a |
(+ (* b (* b (+ (* a 2) -12))) (* 4 a)) |
(* b (+ (* a 2) -12)) |
(+ (* a 2) -12) |
2 |
-12 |
(* 4 a) |
-1 |
(* 4 (* a a)) |
4 |
(* a a) |
a |
(* (* a a) (* a a)) |
(* a a) |
a |
(* a (* a (+ (* a (+ 4 a)) 4))) |
a |
(* a (+ (* a (+ 4 a)) 4)) |
(+ (* a (+ 4 a)) 4) |
(+ 4 a) |
4 |
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1) |
b |
(* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))) |
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))) |
(- 16 (* b (* b (* b b)))) |
16 |
(* b (* b (* b b))) |
(* b (* b b)) |
(* b b) |
(- 4 (* b b)) |
4 |
-1 |
| Outputs |
|---|
(+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)))) |
(pow b 3/2) |
(pow.f64 b #s(literal 3/2 binary64)) |
b |
3/2 |
#s(literal 3/2 binary64) |
(pow b 5/2) |
(pow.f64 b #s(literal 5/2 binary64)) |
5/2 |
#s(literal 5/2 binary64) |
(+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)) |
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) |
(* b 4) |
(*.f64 b #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1) |
(fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
a |
(+ (* b (* b (+ (* a 2) -12))) (* 4 a)) |
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
(* b (+ (* a 2) -12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(+ (* a 2) -12) |
(fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) |
2 |
#s(literal 2 binary64) |
-12 |
#s(literal -12 binary64) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
-1 |
#s(literal -1 binary64) |
(* 4 (* a a)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
4 |
#s(literal 4 binary64) |
(* a a) |
(*.f64 a a) |
a |
(* (* a a) (* a a)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(* a a) |
(*.f64 a a) |
a |
(* a (* a (+ (* a (+ 4 a)) 4))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
a |
(* a (+ (* a (+ 4 a)) 4)) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(+ (* a (+ 4 a)) 4) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
4 |
#s(literal 4 binary64) |
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1) |
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64))) #s(literal -1 binary64)) |
b |
(* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))) |
(/.f64 (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64))) (fma.f64 b b #s(literal -4 binary64))) |
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))) |
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64))) |
(- 16 (* b (* b (* b b)))) |
(fma.f64 b (*.f64 b (*.f64 b (neg.f64 b))) #s(literal 16 binary64)) |
16 |
#s(literal 16 binary64) |
(* b (* b (* b b))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* b (* b b)) |
(*.f64 b (*.f64 b b)) |
(* b b) |
(*.f64 b b) |
(- 4 (* b b)) |
(-.f64 #s(literal 4 binary64) (*.f64 b b)) |
4 |
#s(literal 4 binary64) |
-1 |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b (*.f64 b b))) |
| ✓ | accuracy | 99.9% | (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) |
| ✓ | accuracy | 99.9% | (*.f64 b (*.f64 b b)) |
| ✓ | accuracy | 69.5% | (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 4 binary64) a) |
| ✓ | accuracy | 100.0% | (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 a a) (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (*.f64 a a) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4 binary64) (*.f64 a a)) |
| ✓ | accuracy | 99.9% | (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) |
| ✓ | accuracy | 98.0% | (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
| ✓ | accuracy | 93.8% | (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) |
| 72.0ms | 246× | 0 | valid |
| 5.0ms | 6× | 1 | valid |
| 3.0ms | 4× | 2 | valid |
Compiled 237 to 43 computations (81.9% saved)
ival-mult: 26.0ms (43.5% of total)ival-pow: 15.0ms (25.1% of total)ival-add: 11.0ms (18.4% of total)adjust: 3.0ms (5% of total)ival-div: 2.0ms (3.3% of total)ival-sub: 2.0ms (3.3% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))> |
#<alt (+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)))> |
#<alt (pow b 3/2)> |
#<alt (pow b 5/2)> |
#<alt (* 4 (* a a))> |
#<alt (* a a)> |
#<alt (* (* a a) (* a a))> |
#<alt (* a (* a (+ (* a (+ 4 a)) 4)))> |
#<alt (* a (+ (* a (+ 4 a)) 4))> |
#<alt (+ (* a (+ 4 a)) 4)> |
#<alt (+ 4 a)> |
#<alt (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))> |
#<alt (+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1)> |
#<alt (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))> |
#<alt (- 16 (* b (* b (* b b))))> |
#<alt (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)> |
#<alt (+ (* b (* b (+ (* a 2) -12))) (* 4 a))> |
#<alt (* b (+ (* a 2) -12))> |
#<alt (* b (* b b))> |
#<alt (* b (* b (* b b)))> |
| Outputs |
|---|
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)> |
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))> |
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))> |
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2))))> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (pow (sqrt -1) 2))> |
#<alt (* (pow b 4) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2))))> |
#<alt (* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4))))> |
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)> |
#<alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a))))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (sqrt (pow b 3))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (pow b 3)) (pow (sqrt -1) 2))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (sqrt (pow b 5))> |
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2)))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (* 4 (pow a 2))> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 2)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (pow a 4)> |
#<alt (* 4 (pow a 2))> |
#<alt (* (pow a 2) (+ 4 (* 4 a)))> |
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))> |
#<alt (* (pow a 2) (+ 4 (* a (+ 4 a))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (pow a 4)> |
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* 4 a)> |
#<alt (* a (+ 4 (* 4 a)))> |
#<alt (* a (+ 4 (* a (+ 4 a))))> |
#<alt (* a (+ 4 (* a (+ 4 a))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))> |
#<alt 4> |
#<alt (+ 4 (* 4 a))> |
#<alt (+ 4 (* a (+ 4 a)))> |
#<alt (+ 4 (* a (+ 4 a)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))> |
#<alt 4> |
#<alt (+ 4 a)> |
#<alt (+ 4 a)> |
#<alt (+ 4 a)> |
#<alt a> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt a> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt (* a (+ 1 (* 4 (/ 1 a))))> |
#<alt 4> |
#<alt (+ 4 (pow b 2))> |
#<alt (+ 4 (pow b 2))> |
#<alt (+ 4 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (pow b 2)> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt -1> |
#<alt (- (* 4 (pow b 2)) 1)> |
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)> |
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (pow b 4)> |
#<alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))> |
#<alt (* 4 b)> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (* b (+ 4 (pow b 2)))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (pow b 3)> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))> |
#<alt 16> |
#<alt (+ 16 (* -1 (pow b 4)))> |
#<alt (+ 16 (* -1 (pow b 4)))> |
#<alt (+ 16 (* -1 (pow b 4)))> |
#<alt (* -1 (pow b 4))> |
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))> |
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))> |
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))> |
#<alt (* -1 (pow b 4))> |
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))> |
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))> |
#<alt (* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1))> |
#<alt -1> |
#<alt (- (* -12 (* a (pow b 2))) 1)> |
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)> |
#<alt (- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1)> |
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))> |
#<alt (* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))> |
#<alt (* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2))))> |
#<alt (* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))> |
#<alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))> |
#<alt (* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a))))> |
#<alt (- (* 4 (pow a 2)) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1)> |
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* a (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))> |
#<alt (* 4 a)> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (+ (* 4 a) (* (pow b 2) (- (* 2 a) 12)))> |
#<alt (* (pow b 2) (- (* 2 a) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (* 2 a) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12))> |
#<alt (* -12 (pow b 2))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (* 2 (pow b 2))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))))> |
#<alt (* -1 (* a (- (* -2 (pow b 2)) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4)))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* b (- (* 2 a) 12))> |
#<alt (* -12 b)> |
#<alt (+ (* -12 b) (* 2 (* a b)))> |
#<alt (+ (* -12 b) (* 2 (* a b)))> |
#<alt (+ (* -12 b) (* 2 (* a b)))> |
#<alt (* 2 (* a b))> |
#<alt (* a (+ (* -12 (/ b a)) (* 2 b)))> |
#<alt (* a (+ (* -12 (/ b a)) (* 2 b)))> |
#<alt (* a (+ (* -12 (/ b a)) (* 2 b)))> |
#<alt (* 2 (* a b))> |
#<alt (* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))> |
#<alt (* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 3)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
#<alt (pow b 4)> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1) |
| 1.0ms | b | @ | 0 | (pow b 5/2) |
| 1.0ms | b | @ | -inf | (pow b 5/2) |
| 0.0ms | b | @ | inf | (+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1) |
| 0.0ms | b | @ | inf | (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))) |
| 1× | batch-egg-rewrite |
| 5 992× | accelerator-lowering-fma.f32 |
| 5 992× | accelerator-lowering-fma.f64 |
| 4 934× | *-lowering-*.f32 |
| 4 934× | *-lowering-*.f64 |
| 4 356× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 198 |
| 1 | 257 | 168 |
| 2 | 2178 | 168 |
| 0 | 9290 | 146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1)) |
(+ (* (pow b 3/2) (pow b 5/2)) (+ (* b (* b 4)) (+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1))) |
(pow b 3/2) |
(pow b 5/2) |
(* 4 (* a a)) |
(* a a) |
(* (* a a) (* a a)) |
(* a (* a (+ (* a (+ 4 a)) 4))) |
(* a (+ (* a (+ 4 a)) 4)) |
(+ (* a (+ 4 a)) 4) |
(+ 4 a) |
(/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))) |
(+ (* b (* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b))))) -1) |
(* b (/ (- 16 (* b (* b (* b b)))) (- 4 (* b b)))) |
(- 16 (* b (* b (* b b)))) |
(+ (* a (+ (* b (* b (+ (* a 2) -12))) (* 4 a))) -1) |
(+ (* b (* b (+ (* a 2) -12))) (* 4 a)) |
(* b (+ (* a 2) -12)) |
(* b (* b b)) |
(* b (* b (* b b))) |
| Outputs |
|---|
(+.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(+.f64 (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a))) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64))))) |
(+.f64 #s(literal -1 binary64) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) |
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) |
(+.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) b) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) b) (*.f64 b (*.f64 b b))) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64))))) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) (*.f64 b (*.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 b))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 2 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 (*.f64 b (*.f64 b b)) b) |
(*.f64 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 b b))) |
(*.f64 (pow.f64 b #s(literal 5/4 binary64)) (pow.f64 b #s(literal 11/4 binary64))) |
(*.f64 (pow.f64 b #s(literal 3/4 binary64)) (pow.f64 b #s(literal 13/4 binary64))) |
(*.f64 (pow.f64 b #s(literal 11/4 binary64)) (pow.f64 b #s(literal 5/4 binary64))) |
(*.f64 (pow.f64 b #s(literal 13/4 binary64)) (pow.f64 b #s(literal 3/4 binary64))) |
| 1× | egg-herbie |
| 17 078× | accelerator-lowering-fma.f32 |
| 17 078× | accelerator-lowering-fma.f64 |
| 4 178× | +-lowering-+.f64 |
| 4 178× | +-lowering-+.f32 |
| 3 820× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 3049 |
| 1 | 683 | 2985 |
| 2 | 2014 | 2823 |
| 3 | 5800 | 2679 |
| 0 | 8305 | 2421 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(- (* 4 (pow b 2)) 1) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)))) |
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (pow (sqrt -1) 2)) |
(* (pow b 4) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) |
(* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) |
(- (+ (* 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)))))) (pow b 4))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a)))) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(sqrt (pow b 3)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(sqrt (pow b 5)) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(* 4 (pow a 2)) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 2) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(pow a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* 4 a) |
(* a (+ 4 (* 4 a))) |
(* a (+ 4 (* a (+ 4 a)))) |
(* a (+ 4 (* a (+ 4 a)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
4 |
(+ 4 (* 4 a)) |
(+ 4 (* a (+ 4 a))) |
(+ 4 (* a (+ 4 a))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
4 |
(+ 4 a) |
(+ 4 a) |
(+ 4 a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(* a (+ 1 (* 4 (/ 1 a)))) |
4 |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(+ 4 (pow b 2)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
-1 |
(- (* 4 (pow b 2)) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(* b (+ 4 (pow b 2))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
16 |
(+ 16 (* -1 (pow b 4))) |
(+ 16 (* -1 (pow b 4))) |
(+ 16 (* -1 (pow b 4))) |
(* -1 (pow b 4)) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(* -1 (pow b 4)) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
-1 |
(- (* -12 (* a (pow b 2))) 1) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(- (* 4 (pow a 2)) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(* 4 a) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(* (pow b 2) (- (* 2 a) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (* 2 a) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(* -12 (pow b 2)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* b (- (* 2 a) 12)) |
(* -12 b) |
(+ (* -12 b) (* 2 (* a b))) |
(+ (* -12 b) (* 2 (* a b))) |
(+ (* -12 b) (* 2 (* a b))) |
(* 2 (* a b)) |
(* a (+ (* -12 (/ b a)) (* 2 b))) |
(* a (+ (* -12 (/ b a)) (* 2 b))) |
(* a (+ (* -12 (/ b a)) (* 2 b))) |
(* 2 (* a b)) |
(* -1 (* a (+ (* -2 b) (* 12 (/ b a))))) |
(* -1 (* a (+ (* -2 b) (* 12 (/ b a))))) |
(* -1 (* a (+ (* -2 b) (* 12 (/ b a))))) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 3) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
(pow b 4) |
| Outputs |
|---|
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) |
(*.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64)))) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ 4 (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12)))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -4 binary64) #s(literal 1 binary64)) a)) a))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) (/.f64 (fma.f64 (*.f64 b b) #s(literal -4 binary64) #s(literal 1 binary64)) a)) a))) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2))))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (/ (* a (- (* 2 a) 12)) (pow b 2))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 4) (pow (sqrt -1) 2)) |
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) |
(* (pow b 4) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))) |
(* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 4 (/ 1 (pow b 2))) (+ (/ (* a (- (* 2 a) 12)) (pow b 2)) (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -1 (/ (- (+ (* 4 (pow b 2)) (pow b 4)) 1) a)) (* 12 (pow b 2))) a)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) a)) a))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(sqrt (pow b 3)) |
(sqrt.f64 (*.f64 b (*.f64 b b))) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b)))) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b)))) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b)))) |
(* (sqrt (pow b 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (*.f64 b (*.f64 b b)))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(sqrt (pow b 5)) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (sqrt (pow b 5)) (pow (sqrt -1) 2))) |
(sqrt.f64 (pow.f64 b #s(literal 5 binary64))) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* 4 (pow a 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 4 (* 4 a))) |
(*.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (* a (+ 4 a)))) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(pow a 4) |
(*.f64 (*.f64 a (*.f64 a a)) a) |
(* (pow a 4) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* 4 a))) |
(*.f64 #s(literal 4 binary64) (fma.f64 a a a)) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(* a (+ 4 (* a (+ 4 a)))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) a)) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1))) |
(*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 a)) |
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(+ 4 (* a (+ 4 a))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 4 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 4 binary64) a)) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) |
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
(+ 4 a) |
(+.f64 #s(literal 4 binary64) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
a |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
(* a (+ 1 (* 4 (/ 1 a)))) |
(+.f64 #s(literal 4 binary64) a) |
4 |
#s(literal 4 binary64) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* b (+ 4 (pow b 2))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 b (fma.f64 b b #s(literal 4 binary64))) |
16 |
#s(literal 16 binary64) |
(+ 16 (* -1 (pow b 4))) |
(fma.f64 (*.f64 b (*.f64 b b)) (neg.f64 b) #s(literal 16 binary64)) |
(+ 16 (* -1 (pow b 4))) |
(fma.f64 (*.f64 b (*.f64 b b)) (neg.f64 b) #s(literal 16 binary64)) |
(+ 16 (* -1 (pow b 4))) |
(fma.f64 (*.f64 b (*.f64 b b)) (neg.f64 b) #s(literal 16 binary64)) |
(* -1 (pow b 4)) |
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* -1 (pow b 4)) |
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
(* (pow b 4) (- (* 16 (/ 1 (pow b 4))) 1)) |
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) |
-1 |
#s(literal -1 binary64) |
(- (* -12 (* a (pow b 2))) 1) |
(fma.f64 a (*.f64 (*.f64 b b) #s(literal -12 binary64)) #s(literal -1 binary64)) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(- (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 2) (- (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4))) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) |
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* -1 (- (* -2 (pow b 2)) 4)))) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a))) |
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* 12 (pow b 2)) (/ 1 a)) a)))) |
(*.f64 (*.f64 a a) (+.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) (/.f64 #s(literal -1 binary64) a)) a))) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(- (+ (* 4 (pow a 2)) (* a (* (pow b 2) (- (* 2 a) 12)))) 1) |
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64)) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(*.f64 a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64)) |
(* a (* (pow b 2) (- (* 2 a) 12))) |
(*.f64 a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64)) |
(* (pow b 2) (- (+ (* 4 (/ (pow a 2) (pow b 2))) (* a (- (* 2 a) 12))) (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) (*.f64 a (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) #s(literal -1 binary64)) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(+ (* 4 a) (* (pow b 2) (- (* 2 a) 12))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* (pow b 2) (- (* 2 a) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) |
(* (pow b 2) (- (* 2 a) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) |
(* (pow b 2) (- (+ (* 2 a) (* 4 (/ a (pow b 2)))) 12)) |
(*.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -12 binary64))) |
(* -12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal -12 binary64)) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)))) |
(* a (+ 4 (* 2 (pow b 2)))) |
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* a (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* -1 (* a (- (* -2 (pow b 2)) 4))) |
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* -1 (* a (- (+ (* -2 (pow b 2)) (* 12 (/ (pow b 2) a))) 4))) |
(*.f64 a (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* b (- (* 2 a) 12)) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* -12 b) |
(*.f64 b #s(literal -12 binary64)) |
(+ (* -12 b) (* 2 (* a b))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(+ (* -12 b) (* 2 (* a b))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(+ (* -12 b) (* 2 (* a b))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 #s(literal 2 binary64) b)) |
(* a (+ (* -12 (/ b a)) (* 2 b))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* a (+ (* -12 (/ b a)) (* 2 b))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* a (+ (* -12 (/ b a)) (* 2 b))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* 2 (* a b)) |
(*.f64 a (*.f64 #s(literal 2 binary64) b)) |
(* -1 (* a (+ (* -2 b) (* 12 (/ b a))))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* -1 (* a (+ (* -2 b) (* 12 (/ b a))))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(* -1 (* a (+ (* -2 b) (* 12 (/ b a))))) |
(*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 3) |
(*.f64 b (*.f64 b b)) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(pow b 4) |
(*.f64 b (*.f64 b (*.f64 b b))) |
Compiled 57 026 to 3 092 computations (94.6% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 102 | 10 | 1 112 |
| Fresh | 6 | 8 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 110 | 25 | 1 135 |
| Status | Accuracy | Program |
|---|---|---|
| 67.4% | (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) | |
| 51.1% | (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) | |
| 51.0% | (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| 67.3% | (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| 43.6% | (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))) | |
| 67.4% | (fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) | |
| 47.1% | (fma.f64 b (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) | |
| ✓ | 67.4% | (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
| 46.9% | (fma.f64 b (*.f64 b (/.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) | |
| 46.7% | (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| 44.7% | (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) | |
| ✓ | 43.0% | (pow.f64 a #s(literal 4 binary64)) |
| 27.0% | (/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))) | |
| 60.9% | (-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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)) | |
| 43.6% | (*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) | |
| ✓ | 43.0% | (*.f64 (*.f64 a a) (*.f64 a a)) |
| 44.0% | (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) | |
| 43.3% | (*.f64 b (*.f64 b (*.f64 b b))) | |
| 26.3% | (*.f64 a (/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))) | |
| ✓ | 43.5% | (*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
| 16.9% | (*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) | |
| 43.6% | (*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))) | |
| ✓ | 43.0% | (*.f64 a (*.f64 a (*.f64 a a))) |
| ✓ | 21.3% | (*.f64 #s(literal 4 binary64) (*.f64 a a)) |
| ✓ | 24.9% | #s(literal -1 binary64) |
Compiled 1 409 to 404 computations (71.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (/.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 a (/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))) |
(fma.f64 b (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.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)) |
(pow.f64 a #s(literal 4 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a 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) (+.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 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 b (*.f64 b b))) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))) |
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 a (fma.f64 b (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64))) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 a (fma.f64 a a a))) (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 (-.f64 (*.f64 a (fma.f64 a a a)) (*.f64 b (*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.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 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
5 calls:
| 20.0ms | b |
| 17.0ms | (*.f64 b b) |
| 13.0ms | a |
| 12.0ms | (+.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)))))) |
| 11.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | a |
| 98.4% | 3 | b |
| 99.9% | 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)) |
| 99.9% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 98.4% | 3 | (*.f64 b b) |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 b (/.f64 (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(fma.f64 b (*.f64 b (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal -1 binary64)) |
(*.f64 a (/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64)) a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)))) |
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)) #s(literal -16 binary64))) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))) |
(fma.f64 b (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) b)) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))) |
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.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 a a) (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b b) (*.f64 #s(literal -4 binary64) b)))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
5 calls:
| 16.0ms | b |
| 14.0ms | a |
| 9.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 9.0ms | (*.f64 b b) |
| 9.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | b |
| 98.4% | 3 | (*.f64 b b) |
| 96.9% | 3 | a |
| 88.0% | 4 | (-.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)) |
| 88.0% | 4 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a (+.f64 #s(literal 4 binary64) a)) (*.f64 a a))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))) |
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(fma.f64 b (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (*.f64 a a)))) |
| Outputs |
|---|
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
2 calls:
| 9.0ms | b |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | b |
| 95.4% | 2 | (*.f64 b b) |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))) |
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))) |
| Outputs |
|---|
(-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
3 calls:
| 7.0ms | a |
| 5.0ms | b |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 3 | a |
| 94.4% | 2 | b |
| 94.4% | 2 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) a)))) |
| Outputs |
|---|
(*.f64 a (*.f64 a (*.f64 a a))) |
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
3 calls:
| 5.0ms | a |
| 5.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 3 | a |
| 83.1% | 3 | b |
| 83.1% | 3 | (*.f64 b b) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) |
5 calls:
| 6.0ms | (+.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)))))) |
| 4.0ms | a |
| 4.0ms | b |
| 3.0ms | (*.f64 b b) |
| 3.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | b |
| 80.9% | 2 | (*.f64 b b) |
| 79.3% | 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)) |
| 79.3% | 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)))))) |
| 78.4% | 3 | a |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
(*.f64 b (*.f64 b (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 b (*.f64 b (*.f64 b b))) |
2 calls:
| 3.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | (*.f64 b b) |
| 80.2% | 2 | b |
Compiled 8 to 5 computations (37.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
| Outputs |
|---|
(*.f64 a (*.f64 a (*.f64 a a))) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 a (*.f64 a (*.f64 a a))) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 2.0ms | b |
| 2.0ms | a |
| 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 |
|---|---|---|
| 78.4% | 3 | a |
| 66.8% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 66.8% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 68.7% | 3 | (*.f64 b b) |
| 68.7% | 3 | b |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
5 calls:
| 2.0ms | b |
| 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 | (-.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 |
|---|---|---|
| 52.2% | 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)) |
| 52.2% | 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)))))) |
| 63.2% | 2 | (*.f64 b b) |
| 63.2% | 2 | b |
| 63.1% | 3 | a |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
5 calls:
| 2.0ms | b |
| 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 | (-.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 |
|---|---|---|
| 44.7% | 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)) |
| 44.7% | 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)))))) |
| 44.7% | 1 | a |
| 44.7% | 1 | (*.f64 b b) |
| 44.7% | 1 | b |
Compiled 75 to 44 computations (41.3% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
| Outputs |
|---|
#s(literal -1 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 a a)) |
5 calls:
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 2.0ms | b |
| 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 |
|---|---|---|
| 31.4% | 2 | b |
| 31.4% | 2 | (*.f64 b b) |
| 44.9% | 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)) |
| 44.9% | 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)))))) |
| 44.6% | 3 | a |
Compiled 75 to 44 computations (41.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
5 calls:
| 3.0ms | (*.f64 b b) |
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.9% | 1 | b |
| 24.9% | 1 | (*.f64 b b) |
| 24.9% | 1 | a |
| 24.9% | 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)) |
| 24.9% | 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)))))) |
Compiled 75 to 44 computations (41.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 36 to 25 computations (30.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5258364989832865e+115 | 1.584112142922244e+126 |
| 0.0ms | 2.7227880088877765e-15 | 1.1821119556258197e-9 |
Compiled 34 to 23 computations (32.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7227880088877765e-15 | 1.1821119556258197e-9 |
Compiled 34 to 23 computations (32.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7227880088877765e-15 | 1.1821119556258197e-9 |
Compiled 34 to 23 computations (32.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.596570335347124e+76 | 8.215645330990138e+76 |
| 18.0ms | -1.3049457275327118e+88 | -7.934225610282363e+79 |
| 23.0ms | 224× | 0 | valid |
Compiled 344 to 219 computations (36.3% saved)
ival-mult: 7.0ms (38.5% of total)ival-sub: 5.0ms (27.5% of total)ival-add: 4.0ms (22% of total)ival-pow2: 2.0ms (11% 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 |
|---|---|---|
| 18.0ms | 3.4381855034681006e-5 | 5036.987877692807 |
| 13.0ms | 144× | 0 | valid |
Compiled 216 to 149 computations (31% saved)
ival-mult: 4.0ms (41.7% of total)ival-add: 2.0ms (20.8% of total)ival-sub: 1.0ms (10.4% of total)ival-pow2: 1.0ms (10.4% 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 | 3.4381855034681006e-5 | 5036.987877692807 |
| 19.0ms | 144× | 0 | valid |
Compiled 207 to 140 computations (32.4% saved)
ival-mult: 10.0ms (64.3% of total)ival-add: 2.0ms (12.9% of total)ival-sub: 1.0ms (6.4% of total)ival-pow2: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.3185865615623301 | 2.4539954917739055 |
| 8.0ms | -92885800912.63461 | -47245295323.17659 |
| 18.0ms | 160× | 0 | valid |
Compiled 226 to 153 computations (32.3% saved)
ival-mult: 5.0ms (45.9% of total)ival-add: 3.0ms (27.5% of total)ival-pow2: 2.0ms (18.3% of total)ival-sub: 1.0ms (9.2% 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 |
|---|---|---|
| 16.0ms | 1.0055460343371178e+138 | 1.415428708329479e+140 |
| 12.0ms | 112× | 0 | valid |
Compiled 162 to 121 computations (25.3% saved)
ival-mult: 4.0ms (52% of total)ival-add: 2.0ms (26% of total)ival-sub: 1.0ms (13% of total)ival-pow2: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5456341376086831 | 119.46675498547171 |
Compiled 36 to 25 computations (30.6% saved)
| 1× | egg-herbie |
| 178× | distribute-lft-neg-in_binary64 |
| 152× | unsub-neg_binary64 |
| 126× | neg-mul-1_binary64 |
| 104× | neg-sub0_binary64 |
| 76× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 340 |
| 1 | 130 | 340 |
| 2 | 156 | 340 |
| 3 | 181 | 340 |
| 4 | 211 | 340 |
| 5 | 248 | 340 |
| 6 | 303 | 340 |
| 7 | 433 | 340 |
| 8 | 542 | 340 |
| 9 | 626 | 340 |
| 10 | 685 | 340 |
| 11 | 725 | 340 |
| 12 | 736 | 340 |
| 13 | 738 | 340 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.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 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 b b) #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 a #s(literal -79999999999999997388480600052764153781971228853199839306128196949064025775276032 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 25999999999999999295237843782753878667700452851058116960481052251384046419968 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 b #s(literal 190 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) |
(if (<=.f64 b #s(literal 2900 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 a #s(literal -56000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 b #s(literal 139999999999999991376699372683717672019875598634924840803630220390600195272854413888044359461654921271968721875499444029186548188322442772480 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a))) |
#s(literal -1 binary64) |
| Outputs |
|---|
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.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 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a) #s(literal -4 binary64)) a)))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 b b) #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (if (<=.f64 (*.f64 b b) #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(if (<=.f64 a #s(literal -79999999999999997388480600052764153781971228853199839306128196949064025775276032 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 25999999999999999295237843782753878667700452851058116960481052251384046419968 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 b #s(literal 190 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) |
(if (<=.f64 b #s(literal 2900 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) |
(if (<=.f64 a #s(literal -56000000000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 5404319552844595/2251799813685248 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) |
(if (<=.f64 b #s(literal 139999999999999991376699372683717672019875598634924840803630220390600195272854413888044359461654921271968721875499444029186548188322442772480 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a))) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal 1 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(literal 4 binary64))) |
#s(literal -1 binary64) |
| 22 048× | accelerator-lowering-fma.f32 |
| 22 048× | accelerator-lowering-fma.f64 |
| 21 304× | accelerator-lowering-fma.f32 |
| 21 304× | accelerator-lowering-fma.f64 |
| 9 182× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 2068 |
| 1 | 523 | 2028 |
| 2 | 1565 | 1926 |
| 3 | 5377 | 1894 |
| 0 | 8615 | 1696 |
| 0 | 19 | 102 |
| 1 | 132 | 102 |
| 2 | 1240 | 102 |
| 0 | 8235 | 82 |
| 0 | 583 | 4948 |
| 1 | 1879 | 4669 |
| 2 | 6703 | 4614 |
| 0 | 8572 | 4221 |
| 0 | 185 | 2332 |
| 1 | 600 | 2246 |
| 2 | 1837 | 2184 |
| 3 | 5819 | 2098 |
| 0 | 8170 | 1858 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 666 to 297 computations (55.4% saved)
(abs b)
Compiled 960 to 290 computations (69.8% saved)
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