
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 31 to 19 computations (38.7% saved)
| 2.4s | 8 256× | 0 | valid |
ival-pow2: 1.1s (53.1% of total)ival-mult: 568.0ms (28% of total)ival-add: 263.0ms (13% of total)ival-sub: 97.0ms (4.8% of total)exact: 13.0ms (0.6% of total)ival-true: 7.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 42 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 37 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 20 | 0 | - | 1 | (2.5109724262662886e+39 -1.090324759482757e-158) | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) a) |
| 0 | 1 | (8.254913653591793e-249 -5.151470908181185e-163) | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) | nan-rescue | 42 | 0 |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 160 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 118 | |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) | overflow | 135 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 134 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 79 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 92 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 37 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 92 | |
| ↳ | (*.f64 a a) | overflow | 73 | |
| ↳ | (*.f64 b b) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 79 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 0 |
| - | 0 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 0 |
| - | 0 | 0 | 193 |
| number | freq |
|---|---|
| 0 | 193 |
| 1 | 47 |
| 2 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 512× | 0 | valid |
Compiled 305 to 58 computations (81% saved)
ival-mult: 15.0ms (38.9% of total)ival-add: 12.0ms (31.1% of total)ival-sub: 5.0ms (13% of total)ival-pow2: 5.0ms (13% of total)ival-true: 1.0ms (2.6% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 151 |
| 1 | 173 | 151 |
| 2 | 796 | 149 |
| 3 | 3586 | 149 |
| 0 | 18 | 29 |
| 0 | 30 | 29 |
| 1 | 76 | 29 |
| 2 | 303 | 29 |
| 3 | 1380 | 29 |
| 4 | 5060 | 29 |
| 0 | 8026 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(abs b)
Compiled 29 to 18 computations (37.9% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.3% | (-.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 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 29 to 18 computations (37.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| cost-diff | 1 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 136 |
| 0 | 30 | 136 |
| 1 | 76 | 136 |
| 2 | 303 | 136 |
| 3 | 1380 | 136 |
| 4 | 5060 | 136 |
| 0 | 8026 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12566376953688402 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 4.348932940950785 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 8.183560723283295 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| accuracy | 8.371093750000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 28.0ms | 256× | 0 | valid |
Compiled 138 to 20 computations (85.5% saved)
ival-mult: 7.0ms (38.6% of total)ival-add: 4.0ms (22.1% of total)ival-sub: 3.0ms (16.6% of total)ival-pow2: 3.0ms (16.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(* (pow b 2) (+ 3 a)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 2.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 1.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 1.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1003 |
| 1 | 653 | 947 |
| 2 | 2682 | 885 |
| 0 | 8570 | 819 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(* (pow b 2) (+ 3 a)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (-.f64 a (*.f64 a a)) a)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(-.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)) |
(* -1 (pow a 3)) |
(pow.f64 (neg.f64 a) #s(literal 3 binary64)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) a) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) 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 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (*.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 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(* (pow a 2) (- 1 a)) |
(*.f64 (-.f64 a (*.f64 a a)) a) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (-.f64 a (*.f64 a a)) a)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal -12 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 0 | 30 | 94 |
| 1 | 154 | 94 |
| 2 | 1468 | 94 |
| 0 | 8270 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3 binary64) a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3 binary64) a)) (*.f64 b b)))))) |
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(*.f64 (/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 a b))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) (*.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
Compiled 41 484 to 3 024 computations (92.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 5 | 612 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 608 | 5 | 613 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 70.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
| ▶ | 70.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| ▶ | 57.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
Compiled 392 to 252 computations (35.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 a #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 462 |
| 0 | 66 | 462 |
| 1 | 140 | 462 |
| 2 | 513 | 462 |
| 3 | 2379 | 462 |
| 4 | 6417 | 462 |
| 0 | 8119 | 429 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
b |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 a a) |
a |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
b |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (-.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.00390625 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 6.777343750000001 | (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 18.65865432697035 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.08041000976844201 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 25.95878375265248 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 29.881254203236935 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) | |
| accuracy | 0.2871000762060251 | (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) | |
| accuracy | 26.29334531086567 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.08822250976844201 | (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) | |
| accuracy | 0.24999724760556022 | (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) | |
| accuracy | 24.173999305017194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
| 61.0ms | 245× | 0 | valid |
| 5.0ms | 10× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 392 to 37 computations (90.6% saved)
ival-mult: 20.0ms (44% of total)ival-add: 11.0ms (24.2% of total)ival-pow: 6.0ms (13.2% of total)ival-sub: 4.0ms (8.8% of total)ival-pow2: 3.0ms (6.6% of total)adjust: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(*.f64 a a) |
| Outputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(pow a 4) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* 12 (pow b 2)) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | ((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a)) |
| 2.0ms | a | @ | inf | ((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a)) |
| 2.0ms | a | @ | -inf | ((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a)) |
| 2.0ms | b | @ | -inf | ((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a)) |
| 2.0ms | b | @ | inf | ((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* b b) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 1027 |
| 1 | 691 | 960 |
| 2 | 2688 | 914 |
| 0 | 8723 | 831 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(pow a 4) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* -4 a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* 12 (pow b 2)) |
(pow b 2) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
| Outputs |
|---|
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 (/.f64 #s(literal -4 binary64) a) a a)) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) a) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) #s(literal -1 binary64) #s(literal -4 binary64)) a) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(* b (+ 12 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -12 binary64)) b) b) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 413 |
| 0 | 66 | 413 |
| 1 | 353 | 413 |
| 2 | 3125 | 413 |
| 0 | 9053 | 371 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(*.f64 a a) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a))) |
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (neg.f64 a) a)) |
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a (neg.f64 a))) |
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a)) |
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))) |
(+.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)) |
(+.f64 (*.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 a a))) |
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(+.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) |
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 a (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) (*.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (neg.f64 a)) (neg.f64 a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 a a #s(literal 1 binary64)) (-.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(fma.f64 a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a)) |
(-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))))) (/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (-.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64)))) (*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64)))) #s(literal 64 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 a #s(literal -16 binary64))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64))))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (-.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)))) |
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) #s(literal -4 binary64))) |
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -16 binary64)))))) |
(+.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 a a) |
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(neg.f64 (*.f64 a (neg.f64 a))) |
(sqrt.f64 (pow.f64 a #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 a) a)) |
(fabs.f64 (*.f64 a (neg.f64 a))) |
(fabs.f64 (neg.f64 (*.f64 a a))) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
Compiled 23 473 to 1 760 computations (92.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 12 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 429 | 13 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 70.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 70.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| ▶ | 44.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| 59.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a))))) #s(literal 1 binary64)) | |
| ▶ | 53.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) | |
| 38.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) | |
| 50.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| 57.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| 45.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ▶ | 23.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
Compiled 1 105 to 686 computations (37.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| cost-diff | 4 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 505 |
| 0 | 65 | 489 |
| 1 | 144 | 483 |
| 2 | 493 | 473 |
| 3 | 2002 | 473 |
| 4 | 5551 | 473 |
| 0 | 8072 | 446 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
a |
(+.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))) |
(*.f64 a a) |
a |
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a a) |
a |
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) |
a |
(+.f64 a #s(literal -4 binary64)) |
(+.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) a) a) |
(*.f64 a a) |
a |
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.08822250976844201 | (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) | |
| accuracy | 24.173999305017194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) | |
| accuracy | 33.08868288348475 | #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 29.881254203236935 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.08822250976844201 | (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))) | |
| accuracy | 24.173999305017194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) | |
| accuracy | 33.19651190760136 | #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) | |
| accuracy | 18.65865432697035 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) | |
| accuracy | 34.17972593859662 | #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (+.f64 a #s(literal -4 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) | |
| accuracy | 24.173999305017194 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
| 52.0ms | 256× | 0 | valid |
Compiled 379 to 35 computations (90.8% saved)
ival-mult: 17.0ms (45.9% of total)ival-add: 9.0ms (24.3% of total)ival-pow: 4.0ms (10.8% of total)ival-sub: 3.0ms (8.1% of total)ival-pow2: 2.0ms (5.4% of total)exact: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))) |
(*.f64 a a) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(+.f64 a #s(literal -4 binary64)) |
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) |
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(pow a 4) |
-4 |
(- a 4) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ a -4)) 4) a) a) (* (+ (* a (+ a -4)) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ a -4) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4))) |
| 1.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ a -4)) 4) a) a) (* (+ (* a (+ a -4)) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ a -4) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4))) |
| 1.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ a -4)) 4) a) a) (* (+ (* a (+ a -4)) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ a -4) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4))) |
| 1.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ a -4)) 4) a) a) (* (+ (* a (+ a -4)) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ a -4) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4))) |
| 1.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ a -4)) 4) a) a) (* (+ (* a (+ a -4)) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ a -4) (+ (* a a) (+ (* -4 a) 4)) (+ (* a a) (+ (* -4 a) 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 861 |
| 1 | 529 | 809 |
| 2 | 1953 | 768 |
| 0 | 8740 | 714 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(pow a 2) |
(pow a 4) |
-4 |
(- a 4) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(-.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* -4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (- a 4)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64)) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
-4 |
#s(literal -4 binary64) |
(- a 4) |
(-.f64 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 (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 a (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a) #s(literal 1 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 a (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (pow.f64 a #s(literal 4 binary64)))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 475 |
| 0 | 65 | 447 |
| 1 | 338 | 443 |
| 2 | 2877 | 443 |
| 0 | 8342 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))) |
(*.f64 a a) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(+.f64 a #s(literal -4 binary64)) |
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) |
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 a (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 a a)) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 a a)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 a a)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a a)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (pow.f64 a #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (neg.f64 a)) (neg.f64 a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (neg.f64 a) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (*.f64 a a) (fabs.f64 (*.f64 (*.f64 (neg.f64 a) a) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(fma.f64 a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) (pow.f64 a #s(literal 4 binary64))) |
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (*.f64 (*.f64 a a) (*.f64 (neg.f64 a) a))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (pow.f64 a #s(literal 4 binary64))) |
(+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) |
(*.f64 a (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) a) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64)) #s(literal 64 binary64)) a) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64)) #s(literal 64 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (neg.f64 (pow.f64 a #s(literal 3/2 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (fabs.f64 (pow.f64 a #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 a #s(literal 3/2 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) a) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (neg.f64 a) (*.f64 a a) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
(fma.f64 (*.f64 (neg.f64 a) a) (neg.f64 a) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) |
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(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) |
(*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) |
(*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) |
(*.f64 a (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a)) |
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a))) (*.f64 (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a))) #s(literal -64 binary64))) (*.f64 (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a))) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) (-.f64 #s(literal -4 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (-.f64 a #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a))))) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 16 binary64)) (-.f64 a #s(literal -4 binary64))) |
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal -4 binary64) a)))) |
(/.f64 (+.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))) #s(literal -4 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) #s(literal -4 binary64)) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) |
(fma.f64 #s(literal 1 binary64) a #s(literal -4 binary64)) |
(fma.f64 a #s(literal 1 binary64) #s(literal -4 binary64)) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 a #s(literal -4 binary64)))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a)))) (/.f64 #s(literal -64 binary64) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) a))))) |
(+.f64 #s(literal -4 binary64) a) |
(+.f64 a #s(literal -4 binary64)) |
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) |
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) |
Compiled 17 080 to 1 304 computations (92.4% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 2 | 330 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 329 | 14 | 343 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| 57.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a)) #s(literal 1 binary64)) | |
| ▶ | 32.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| ✓ | 70.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| ▶ | 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ✓ | 70.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | 44.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| ✓ | 53.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
| 38.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) | |
| ▶ | 50.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ▶ | 57.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
| 45.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ✓ | 23.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
Compiled 948 to 592 computations (37.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) a) | |
| cost-diff | 0 | #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 577 |
| 0 | 82 | 559 |
| 1 | 168 | 555 |
| 2 | 634 | 555 |
| 3 | 3077 | 552 |
| 4 | 7935 | 552 |
| 0 | 8026 | 518 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) |
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
(fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) |
a |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) |
(sqrt.f64 a) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
(*.f64 a a) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) |
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(*.f64 #s(literal 12 binary64) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) |
(fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) |
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) |
a |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) |
(+.f64 #s(literal -4 binary64) a) |
(sqrt.f64 a) |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
(*.f64 a a) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) a) | |
| accuracy | 6.773437500000001 | (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 10.770587411089195 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 15.2269848313862 | #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) | |
| accuracy | 0.01953125 | (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) | |
| accuracy | 0.1328125 | (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) | |
| accuracy | 12.62008879998867 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.06478500976844201 | (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) | |
| accuracy | 12.795189840011236 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.08431625976844201 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| accuracy | 7.430123846282074 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| accuracy | 12.795189840011236 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) | |
| accuracy | 0.03125 | (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| accuracy | 9.633485297362066 | #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) | |
| accuracy | 12.49825961014055 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) |
| 36.0ms | 129× | 0 | invalid |
| 33.0ms | 116× | 0 | valid |
| 4.0ms | 6× | 2 | valid |
| 2.0ms | 2× | 3 | valid |
| 2.0ms | 3× | 1 | valid |
Compiled 424 to 45 computations (89.4% saved)
ival-mult: 25.0ms (44.5% of total)ival-add: 14.0ms (24.9% of total)ival-pow: 6.0ms (10.7% of total)ival-sub: 4.0ms (7.1% of total)ival-pow2: 3.0ms (5.3% of total)adjust: 2.0ms (3.6% of total)ival-sqrt: 2.0ms (3.6% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) |
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) |
(*.f64 b b) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
-4 |
(- a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
4 |
(+ 4 (* -4 a)) |
(* -4 a) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 4 (/ 1 a)) (pow (sqrt -1) 2)))) |
(* -1 (* (pow a 4) (pow (sqrt -1) 2))) |
(* (pow a 4) (- (* -1 (pow (sqrt -1) 2)) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ (* -1 (/ (- 4 (* 4 (/ 1 a))) a)) (* -1 (pow (sqrt -1) 2)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* (pow a 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow a 3) (+ (* 4 (/ 1 a)) (pow (sqrt -1) 2)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) (pow (sqrt -1) 2)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* 12 (pow b 2)) |
(pow b 2) |
(* 12 b) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (+ (* (sqrt a) (sqrt a)) -4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (+ (* -4 a) 4) (* -4 a) (* (+ (* b b) 12) b) (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a)) |
| 2.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (+ (* (sqrt a) (sqrt a)) -4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (+ (* -4 a) 4) (* -4 a) (* (+ (* b b) 12) b) (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a)) |
| 2.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (+ (* (sqrt a) (sqrt a)) -4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (+ (* -4 a) 4) (* -4 a) (* (+ (* b b) 12) b) (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a)) |
| 2.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (+ (* (sqrt a) (sqrt a)) -4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (+ (* -4 a) 4) (* -4 a) (* (+ (* b b) 12) b) (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a)) |
| 1.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* b b) (+ (* b b) 12)) (* b b) (+ (* (sqrt a) (sqrt a)) -4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (+ (* -4 a) 4) (* -4 a) (* (+ (* b b) 12) b) (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 1109 |
| 1 | 794 | 1026 |
| 2 | 3137 | 982 |
| 0 | 8850 | 899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
-4 |
(- a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
4 |
(+ 4 (* -4 a)) |
(* -4 a) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* -1 (* a (pow (sqrt -1) 2))) |
(* -1 (* a (+ (* 4 (/ 1 a)) (pow (sqrt -1) 2)))) |
(* -1 (* (pow a 4) (pow (sqrt -1) 2))) |
(* (pow a 4) (- (* -1 (pow (sqrt -1) 2)) (* 4 (/ 1 a)))) |
(* (pow a 4) (+ (* -1 (/ (- 4 (* 4 (/ 1 a))) a)) (* -1 (pow (sqrt -1) 2)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(* -1 (* (pow a 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow a 3) (+ (* 4 (/ 1 a)) (pow (sqrt -1) 2)))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) (pow (sqrt -1) 2)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* 12 (pow b 2)) |
(pow b 2) |
(* 12 b) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
-4 |
#s(literal -4 binary64) |
(- a 4) |
(-.f64 a #s(literal 4 binary64)) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(* -4 a) |
(*.f64 #s(literal -4 binary64) a) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* -4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (- a 4)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(-.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))) |
(* a (- (* 4 (/ 1 a)) 4)) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* -1 (* a (pow (sqrt -1) 2))) |
a |
(* -1 (* a (+ (* 4 (/ 1 a)) (pow (sqrt -1) 2)))) |
(-.f64 a #s(literal 4 binary64)) |
(* -1 (* (pow a 4) (pow (sqrt -1) 2))) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- (* -1 (pow (sqrt -1) 2)) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ (* -1 (/ (- 4 (* 4 (/ 1 a))) a)) (* -1 (pow (sqrt -1) 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (- 4 (* 4 (/ 1 a))))) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(* -1 (* (pow a 3) (pow (sqrt -1) 2))) |
(pow.f64 a #s(literal 3 binary64)) |
(* -1 (* (pow a 3) (+ (* 4 (/ 1 a)) (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a) |
(* -1 (* (pow a 3) (+ (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) (pow (sqrt -1) 2)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)) |
(* b (+ 12 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(pow b 2) |
(*.f64 b b) |
(* 12 b) |
(*.f64 #s(literal 12 binary64) b) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -12 binary64)) b) b) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 527 |
| 0 | 82 | 509 |
| 1 | 403 | 505 |
| 2 | 3394 | 505 |
| 0 | 8303 | 462 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) |
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) |
(*.f64 b b) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) |
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b) |
(*.f64 b #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))) |
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))) |
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(*.f64 a (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64))) a) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))) |
(/.f64 (*.f64 a (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (sqrt.f64 a)))) (sqrt.f64 a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (sqrt.f64 a)))) (sqrt.f64 a) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 a))) (sqrt.f64 a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 a))) (sqrt.f64 a) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 a)))) (sqrt.f64 a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 a)))) (sqrt.f64 a) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 a))) (sqrt.f64 a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 a))) (sqrt.f64 a) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 a))) (neg.f64 (sqrt.f64 a)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (sqrt.f64 a))) (neg.f64 (sqrt.f64 a)) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (neg.f64 (sqrt.f64 a)) (*.f64 (neg.f64 (sqrt.f64 a)) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (neg.f64 (sqrt.f64 a)) (*.f64 (neg.f64 (sqrt.f64 a)) #s(literal 4 binary64)) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 a)) #s(literal -4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 a)) #s(literal -4 binary64))) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (sqrt.f64 a) #s(literal -4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (sqrt.f64 a) #s(literal -4 binary64))) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 a)) #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 a)) #s(literal 4 binary64))) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (sqrt.f64 a) #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (sqrt.f64 a) (fabs.f64 (*.f64 (sqrt.f64 a) #s(literal 4 binary64))) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) #s(literal 4 binary64)) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(fma.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a)) (*.f64 #s(literal 4 binary64) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 (+.f64 #s(literal -4 binary64) a) a))) |
Compiled 18 080 to 1 465 computations (91.9% saved)
19 alts after pruning (9 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 6 | 327 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 5 | 6 |
| Total | 322 | 19 | 341 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a)) #s(literal 1 binary64)) | |
| ✓ | 32.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| ✓ | 70.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| 70.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) | |
| 32.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (sqrt.f64 a)) (sqrt.f64 a)) a)) #s(literal 1 binary64)) | |
| 32.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) (sqrt.f64 a)) (sqrt.f64 a))) #s(literal 1 binary64)) | |
| ✓ | 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ✓ | 70.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | 44.2% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
| ✓ | 53.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ✓ | 67.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
| 38.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) | |
| 50.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) | |
| 70.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) | |
| ✓ | 50.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ✓ | 57.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
| 45.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 48.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| ✓ | 23.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
Compiled 1 963 to 701 computations (64.3% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) (sqrt.f64 a)) (sqrt.f64 a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (sqrt.f64 a)) (sqrt.f64 a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
5 calls:
| 7.0ms | b |
| 7.0ms | a |
| 6.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 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 3 binary64) a))))) |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (*.f64 b b) |
| 98.4% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 98.4% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 98.4% | 3 | a |
| 96.6% | 2 | b |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) (sqrt.f64 a)) (sqrt.f64 a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (sqrt.f64 a)) (sqrt.f64 a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* -4 a) 4) (*.f64 #s(literal -4 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 10.0ms | b |
| 7.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 7.0ms | a |
| 6.0ms | (*.f64 b b) |
| 6.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (*.f64 b b) |
| 96.6% | 2 | b |
| 94.9% | 3 | a |
| 79.5% | 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 3 binary64) a))))) |
| 79.5% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 a a) a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 a) (sqrt.f64 a) #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) (sqrt.f64 a)) (sqrt.f64 a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (sqrt.f64 a)) (sqrt.f64 a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (*.f64 a (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a))))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
2 calls:
| 8.0ms | (*.f64 b b) |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (*.f64 b b) |
| 96.6% | 2 | b |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 2 | (*.f64 b b) |
| 96.2% | 2 | b |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
2 calls:
| 8.0ms | (*.f64 b b) |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | (*.f64 b b) |
| 96.1% | 2 | b |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 2 | (*.f64 b b) |
| 96.0% | 2 | b |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
3 calls:
| 10.0ms | (*.f64 b b) |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 3 | a |
| 85.7% | 2 | (*.f64 b b) |
| 85.7% | 2 | b |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 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 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 3 binary64) a))))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.4% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 58.4% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 71.0% | 3 | a |
| 71.0% | 2 | (*.f64 b b) |
| 71.0% | 2 | b |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b))) b)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 50.6% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 50.6% | 1 | a |
| 50.6% | 1 | (*.f64 b b) |
| 50.6% | 1 | b |
Compiled 61 to 42 computations (31.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.7% | 1 | a |
| 23.7% | 1 | (*.f64 b b) |
| 23.7% | 1 | b |
| 23.7% | 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 3 binary64) a))))) |
| 23.7% | 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 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 61 to 42 computations (31.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 32 to 23 computations (28.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.477926271546755e-9 | 2.5876776825237653e-8 |
| 27.0ms | 112× | 0 | valid |
Compiled 578 to 393 computations (32% saved)
ival-mult: 21.0ms (85.4% of total)ival-add: 2.0ms (8.1% of total)ival-sub: 1.0ms (4.1% of total)ival-pow2: 1.0ms (4.1% 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 |
|---|---|---|
| 1.0ms | 1.477926271546755e-9 | 2.5876776825237653e-8 |
Compiled 662 to 428 computations (35.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.477926271546755e-9 | 2.5876776825237653e-8 |
Compiled 753 to 477 computations (36.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.477926271546755e-9 | 2.5876776825237653e-8 |
Compiled 704 to 449 computations (36.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.477926271546755e-9 | 2.5876776825237653e-8 |
Compiled 641 to 400 computations (37.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0108796554535842e+139 | 1.5333529878666034e+142 |
| 11.0ms | 128× | 0 | valid |
Compiled 688 to 438 computations (36.3% saved)
ival-mult: 3.0ms (37.5% of total)ival-add: 2.0ms (25% of total)ival-sub: 1.0ms (12.5% of total)ival-pow2: 1.0ms (12.5% 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 |
|---|---|---|
| 1.0ms | 1.0108796554535842e+139 | 1.5333529878666034e+142 |
Compiled 752 to 486 computations (35.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 837 |
| 1 | 201 | 837 |
| 2 | 645 | 837 |
| 3 | 2988 | 837 |
| 4 | 7376 | 837 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 14999999999999998731570336480851623576902807896092125329814625977036036929177429322142991880882485911955185960363317699696738524850945855062016 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 14999999999999998731570336480851623576902807896092125329814625977036036929177429322142991880882485911955185960363317699696738524850945855062016 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* a (+ (* (sqrt a) (sqrt a)) -4)) 4) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a #s(approx (+ (* (sqrt a) (sqrt a)) -4) a) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 7706902100043261/302231454903657293676544 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b)) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 14999999999999998731570336480851623576902807896092125329814625977036036929177429322142991880882485911955185960363317699696738524850945855062016 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 b #s(literal 14999999999999998731570336480851623576902807896092125329814625977036036929177429322142991880882485911955185960363317699696738524850945855062016 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 1027 |
| 1 | 691 | 960 |
| 2 | 2688 | 914 |
| 0 | 8723 | 831 |
| 0 | 43 | 413 |
| 0 | 66 | 413 |
| 1 | 353 | 413 |
| 2 | 3125 | 413 |
| 0 | 9053 | 371 |
| 0 | 48 | 475 |
| 0 | 65 | 447 |
| 1 | 338 | 443 |
| 2 | 2877 | 443 |
| 0 | 8342 | 407 |
| 0 | 225 | 1109 |
| 1 | 794 | 1026 |
| 2 | 3137 | 982 |
| 0 | 8850 | 899 |
| 0 | 191 | 1003 |
| 1 | 653 | 947 |
| 2 | 2682 | 885 |
| 0 | 8570 | 819 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 405 to 526 computations (62.6% saved)
(abs b)
Compiled 1 954 to 352 computations (82% saved)
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