
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 19 to 13 computations (31.6% saved)
| 966.0ms | 8 256× | 0 | valid |
ival-mult: 203.0ms (44.7% of total)ival-add: 109.0ms (24% of total)ival-pow2: 79.0ms (17.4% of total)ival-sub: 45.0ms (9.9% of total)exact: 8.0ms (1.8% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 42.0ms | 512× | 0 | valid |
Compiled 213 to 52 computations (75.6% saved)
ival-mult: 10.0ms (40.9% of total)ival-pow2: 7.0ms (28.6% of total)ival-add: 4.0ms (16.4% of total)ival-sub: 2.0ms (8.2% of total)exact: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 87 |
| 1 | 78 | 87 |
| 2 | 193 | 85 |
| 3 | 598 | 85 |
| 4 | 2172 | 85 |
| 5 | 5931 | 85 |
| 0 | 12 | 17 |
| 0 | 19 | 17 |
| 1 | 32 | 17 |
| 2 | 50 | 17 |
| 3 | 143 | 17 |
| 4 | 426 | 17 |
| 5 | 1201 | 17 |
| 6 | 2371 | 17 |
| 7 | 5618 | 17 |
| 8 | 7689 | 17 |
| 0 | 8045 | 15 |
| 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 b b))) #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 b b))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(abs b)
(abs a)
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 64 |
| 0 | 19 | 64 |
| 1 | 32 | 64 |
| 2 | 50 | 64 |
| 3 | 143 | 64 |
| 4 | 426 | 64 |
| 5 | 1201 | 64 |
| 6 | 2371 | 64 |
| 7 | 5618 | 64 |
| 8 | 7689 | 64 |
| 0 | 8045 | 58 |
| 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 b b))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
#s(literal 4 binary64) |
#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 b b))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (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 b b)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.010097509768442016 | (*.f64 #s(literal 4 binary64) (*.f64 b b)) | |
| accuracy | 0.11556625976844201 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 22.0ms | 256× | 0 | valid |
Compiled 130 to 26 computations (80% saved)
ival-mult: 7.0ms (51.1% of total)ival-add: 2.0ms (14.6% of total)ival-pow2: 2.0ms (14.6% of total)ival-sub: 1.0ms (7.3% 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 b b))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 a a) |
(*.f64 b b) |
| Outputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 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 2) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* 4 (pow b 2)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a) (* b b)) |
| 2.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a) (* b b)) |
| 1.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a) (* b b)) |
| 1.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a) (* b b)) |
| 1.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a) (* b b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 494 |
| 1 | 240 | 458 |
| 2 | 671 | 450 |
| 3 | 3123 | 434 |
| 4 | 7175 | 434 |
| 0 | 8202 | 383 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 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 2) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* 4 (pow b 2)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (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 |
|---|
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #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)) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b a) a)) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b a) a)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 59 |
| 0 | 19 | 59 |
| 1 | 77 | 59 |
| 2 | 604 | 59 |
| 0 | 8160 | 49 |
| 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 b b))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 a a) |
(*.f64 b b) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 256 binary64) (pow.f64 b #s(literal 8 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 b #s(literal 12 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 b #s(literal 12 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 b #s(literal 18 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 18 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (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 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) |
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(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 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 b (*.f64 b (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 a a))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 a (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(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 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 b #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) b) b) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b (*.f64 (*.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) |
(*.f64 b (*.f64 #s(literal 4 binary64) b)) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(*.f64 b b) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
Compiled 20 991 to 1 839 computations (91.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 5 | 563 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 559 | 5 | 564 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.8% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 70.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 82.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
| ▶ | 75.2% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| ▶ | 66.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
Compiled 274 to 182 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 6144 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| cost-diff | 0 | (pow.f64 a #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 338 |
| 0 | 52 | 338 |
| 1 | 91 | 338 |
| 2 | 156 | 338 |
| 3 | 341 | 338 |
| 4 | 710 | 338 |
| 5 | 1533 | 338 |
| 6 | 2788 | 338 |
| 7 | 6351 | 338 |
| 8 | 7843 | 338 |
| 0 | 8005 | 322 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
b |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
b |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (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 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
b |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 b b) |
b |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
b |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (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 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.00390625 | (pow.f64 b #s(literal 4 binary64)) | |
| accuracy | 0.010097509768442016 | (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 22.427403063819863 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 0.0 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| accuracy | 26.21987730393581 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.00390625 | (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 6.0750353571434275 | (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 17.11055225539096 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.056972509768442016 | (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) | |
| accuracy | 21.240191003025117 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) | |
| accuracy | 1.7098058404657475 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) | |
| accuracy | 4.3076179380301545 | (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) | |
| accuracy | 18.34771828183631 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
| 65.0ms | 256× | 0 | valid |
Compiled 616 to 65 computations (89.4% saved)
ival-mult: 13.0ms (36.5% of total)ival-add: 8.0ms (22.5% of total)ival-pow2: 7.0ms (19.6% of total)ival-pow: 5.0ms (14% of total)ival-sub: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 a a) |
(pow.f64 b #s(literal 4 binary64)) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
4 |
(+ 4 (* 2 (pow a 2))) |
(pow a 4) |
(pow a 2) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (* 2 (pow a 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
-1 |
(- (* 4 (pow b 2)) 1) |
(pow b 2) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(* 4 (pow b 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (pow b 4)) |
| 2.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (pow b 4)) |
| 2.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (pow b 4)) |
| 2.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (pow b 4)) |
| 2.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (pow b 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 806 |
| 1 | 342 | 752 |
| 2 | 1030 | 732 |
| 3 | 4026 | 720 |
| 4 | 7652 | 720 |
| 0 | 8014 | 631 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(* b (+ 4 (pow b 2))) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
4 |
(+ 4 (* 2 (pow a 2))) |
(pow a 4) |
(pow a 2) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(* 2 (* (pow a 2) b)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(* b (+ 4 (* 2 (pow a 2)))) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
-1 |
(- (* 4 (pow b 2)) 1) |
(pow b 2) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(* 4 (pow b 2)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 b a) b)) |
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(* 2 (* (pow a 2) b)) |
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) |
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))) |
(fma.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal 1 binary64))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 4 (* 2 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) |
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b)) |
(* b (+ 4 (* 2 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) |
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) |
(pow b 2) |
(*.f64 b b) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) b)) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 295 |
| 0 | 52 | 295 |
| 1 | 249 | 295 |
| 2 | 1893 | 295 |
| 0 | 8396 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(*.f64 b b) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 a a) |
(pow.f64 b #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))) (/.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #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 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 a a) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) b) |
(*.f64 (*.f64 b b) (*.f64 b b)) |
(*.f64 b (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b)) |
(pow.f64 (*.f64 b b) #s(literal 2 binary64)) |
(pow.f64 b #s(literal 4 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64))) |
Compiled 25 694 to 2 032 computations (92.1% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 7 | 539 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 535 | 9 | 544 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 70.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| 66.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64)) | |
| ▶ | 66.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
| ✓ | 66.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ▶ | 57.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| 43.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))) | |
| ▶ | 50.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
| ▶ | 24.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
Compiled 532 to 319 computations (40% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 1408 | (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) | |
| cost-diff | -5504 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 a a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 354 |
| 0 | 59 | 350 |
| 1 | 109 | 337 |
| 2 | 163 | 331 |
| 3 | 306 | 331 |
| 4 | 638 | 331 |
| 5 | 1406 | 331 |
| 6 | 2664 | 319 |
| 7 | 6051 | 319 |
| 0 | 8262 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) b) |
#s(literal 4 binary64) |
b |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal 2 binary64) |
(*.f64 a a) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
a |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) b) |
#s(literal 4 binary64) |
b |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal 2 binary64) |
(*.f64 a a) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) | |
| accuracy | 6.0750353571434275 | (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 10.913128878682478 | (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) | |
| accuracy | 17.11055225539096 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 4 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) | |
| accuracy | 21.240191003025117 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) b) | |
| accuracy | 14.458132229429577 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) | |
| accuracy | 21.240191003025117 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) | |
| accuracy | 21.240191003025117 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) | |
| accuracy | 30.843533121641045 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.125 | (*.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 26.21987730393581 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) |
| 179.0ms | 256× | 0 | valid |
Compiled 600 to 79 computations (86.8% saved)
ival-mult: 20.0ms (53.4% of total)ival-add: 11.0ms (29.3% of total)ival-div: 2.0ms (5.3% of total)ival-pow2: 2.0ms (5.3% of total)ival-sub: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 a a) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
(fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow a 2) |
(pow a 4) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(/ (pow b 2) (pow a 2)) |
(/ (+ (* 2 (pow a 2)) (pow b 2)) (pow a 2)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
2 |
(+ 2 (/ (pow b 2) (pow a 2))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
-1 |
(- (* 4 (pow b 2)) 1) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
4 |
(+ 4 (* 2 (pow a 2))) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* 4 b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (+ (* (+ (* (/ b a) (/ b a)) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (/ b a) (/ b a)) 2)) |
| 2.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* 4 b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (+ (* (+ (* (/ b a) (/ b a)) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (/ b a) (/ b a)) 2)) |
| 2.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* 4 b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (+ (* (+ (* (/ b a) (/ b a)) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (/ b a) (/ b a)) 2)) |
| 2.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* 4 b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (+ (* (+ (* (/ b a) (/ b a)) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (/ b a) (/ b a)) 2)) |
| 1.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* 4 b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (+ (* (+ (* (/ b a) (/ b a)) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (/ b a) (/ b a)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 655 |
| 1 | 302 | 611 |
| 2 | 891 | 597 |
| 3 | 3600 | 569 |
| 4 | 6675 | 569 |
| 0 | 8180 | 499 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(pow a 2) |
(pow a 4) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(/ (pow b 2) (pow a 2)) |
(/ (+ (* 2 (pow a 2)) (pow b 2)) (pow a 2)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
2 |
(+ 2 (/ (pow b 2) (pow a 2))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
-1 |
(- (* 4 (pow b 2)) 1) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
4 |
(+ 4 (* 2 (pow a 2))) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* 4 (pow b 2)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ (* 4 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(/ (pow b 2) (pow a 2)) |
(*.f64 (/.f64 (/.f64 b a) a) b) |
(/ (+ (* 2 (pow a 2)) (pow b 2)) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) a) a) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 b a)) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (/ (pow b 2) (pow a 2))) |
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 2 binary64)) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (*.f64 b b) (+.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) |
(*.f64 (*.f64 b b) (+.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow b 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) |
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 331 |
| 0 | 59 | 316 |
| 1 | 277 | 303 |
| 2 | 1990 | 303 |
| 0 | 9236 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 a a) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(fma.f64 b b #s(literal 4 binary64)) |
(fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) b) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))))) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 (/.f64 b a) a) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) a) (/.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (exp.f64 (log.f64 (/.f64 b a))) (exp.f64 (log.f64 (/.f64 b a))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) |
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 b b) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 b a) b) (pow.f64 a #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 b a) (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 b a) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)) |
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 b b) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 b b) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) |
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal 2 binary64)) |
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) |
(fma.f64 b (pow.f64 (*.f64 a (/.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) |
Compiled 16 393 to 1 396 computations (91.5% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 6 | 329 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 326 | 12 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ✓ | 70.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | 66.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
| ▶ | 66.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
| ✓ | 66.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| ▶ | 47.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| 43.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ▶ | 64.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
| ▶ | 53.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| ✓ | 50.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
| ▶ | 26.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
| ✓ | 24.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
Compiled 625 to 377 computations (39.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 b a) a) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 1536 | (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| cost-diff | 1024 | (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* b b) 4) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 524 |
| 0 | 84 | 524 |
| 1 | 160 | 519 |
| 2 | 320 | 519 |
| 3 | 859 | 519 |
| 4 | 1563 | 516 |
| 5 | 2846 | 498 |
| 6 | 4465 | 498 |
| 0 | 8076 | 466 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) |
#s(approx (+ (* b b) 4) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) |
b |
(/.f64 b (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 b a) a) b) |
(*.f64 (*.f64 b a) a) |
(*.f64 b a) |
b |
a |
(+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) |
#s(approx (+ (* b b) 4) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
#s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
#s(approx (+ (* (* 4 b) b) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(literal 4 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 a a) |
a |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) |
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 2 binary64)) |
b |
(/.f64 b (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(*.f64 b b) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
#s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 b a) a) b) |
(*.f64 (*.f64 b a) a) |
(*.f64 b a) |
b |
a |
(+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(fma.f64 b b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.3856125278919214 | (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) | |
| accuracy | 5.01005529732336 | (*.f64 (*.f64 (*.f64 b a) a) b) | |
| accuracy | 10.468314665249716 | (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) | |
| accuracy | 17.11055225539096 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 6.0750353571434275 | (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) | |
| accuracy | 8.292318818197163 | (/.f64 b (*.f64 a a)) | |
| accuracy | 10.913128878682478 | (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) | |
| accuracy | 17.11055225539096 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) | |
| accuracy | 1.73016731820033 | (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) | |
| accuracy | 5.230145371213644 | (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) | |
| accuracy | 29.72152817101938 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) | |
| accuracy | 0.010097509768442016 | (*.f64 (*.f64 b b) #s(literal 4 binary64)) | |
| accuracy | 14.458132229429577 | #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) | |
| accuracy | 21.240191003025117 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) | |
| accuracy | 32.21851364966103 | #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.03125 | (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) | |
| accuracy | 21.240191003025117 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) | |
| accuracy | 31.785029727148792 | #s(approx (+ (* b b) 4) (*.f64 b b)) |
| 183.0ms | 256× | 0 | valid |
Compiled 873 to 104 computations (88.1% saved)
ival-mult: 94.0ms (57.4% of total)ival-add: 60.0ms (36.7% of total)ival-div: 5.0ms (3.1% of total)ival-pow2: 3.0ms (1.8% of total)ival-sub: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) |
#s(approx (+ (* b b) 4) (*.f64 b b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 b a) a) b) |
(/.f64 b (*.f64 a a)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* (pow a 2) (pow b 2)) |
(/ b (pow a 2)) |
(/ (+ 4 (pow b 2)) a) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
-1 |
(- (* 4 (pow b 2)) 1) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
4 |
(* 4 (pow b 2)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ 4 (* 2 (pow a 2))) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(- (* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) 1) |
(- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1) |
(/ 4 a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4)))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (+ (* (+ (* b (/ b (* a a))) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* (* (* b a) a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (* (* (* b a) a) b) (/ b (* a a)) (/ (+ (* b b) 4) a)) |
| 6.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (+ (* (+ (* b (/ b (* a a))) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* (* (* b a) a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (* (* (* b a) a) b) (/ b (* a a)) (/ (+ (* b b) 4) a)) |
| 3.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (+ (* (+ (* b (/ b (* a a))) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* (* (* b a) a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (* (* (* b a) a) b) (/ b (* a a)) (/ (+ (* b b) 4) a)) |
| 3.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (+ (* (+ (* b (/ b (* a a))) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* (* (* b a) a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (* (* (* b a) a) b) (/ b (* a a)) (/ (+ (* b b) 4) a)) |
| 3.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (* 4 b) b) -1) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (+ (* (+ (* b (/ b (* a a))) 2) (* a a)) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* (* (* b a) a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (* (* (* b a) a) b) (/ b (* a a)) (/ (+ (* b b) 4) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 754 |
| 1 | 424 | 726 |
| 2 | 1242 | 706 |
| 3 | 3915 | 682 |
| 4 | 7066 | 678 |
| 0 | 8524 | 609 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (* a (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(+ 4 (pow b 2)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(* (pow a 2) (pow b 2)) |
(/ b (pow a 2)) |
(/ (+ 4 (pow b 2)) a) |
(pow a 4) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(pow a 3) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* 2 (pow a 2)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(- (pow a 4) 1) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
-1 |
(- (* 4 (pow b 2)) 1) |
(* 4 b) |
(* b (+ 4 (pow b 2))) |
4 |
(* 4 (pow b 2)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(+ 4 (* 2 (pow a 2))) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(- (* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) 1) |
(- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1) |
(/ 4 a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4)))) |
(/ (pow b 2) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
| Outputs |
|---|
(- (+ (* 4 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b) |
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* 2 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* a (+ (* 2 (pow b 2)) (pow a 2))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* 2 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 2 binary64)) |
(+ (* 2 (pow b 2)) (pow a 2)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(+ 4 (pow b 2)) |
(fma.f64 b b #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (pow a 2)) (pow b 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
(- (* (pow b 2) (+ 4 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(* (pow a 2) (pow b 2)) |
(*.f64 (*.f64 (*.f64 a a) b) b) |
(/ b (pow a 2)) |
(/.f64 b (*.f64 a a)) |
(/ (+ 4 (pow b 2)) a) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) |
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) |
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2)))) |
(fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 a a) #s(literal -1 binary64)) |
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(- (pow a 4) 1) |
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow b 2)) 1) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(* 4 b) |
(*.f64 #s(literal 4 binary64) b) |
(* b (+ 4 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
4 |
#s(literal 4 binary64) |
(* 4 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(+ (* 2 (* a (pow b 2))) (pow a 3)) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(+ 4 (* 2 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) |
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) 1) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b #s(literal -1 binary64)) |
(- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
(+ (* 4 (/ 1 a)) (/ (pow b 2) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64))) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 4 binary64)) |
(* (pow b 2) (- 4 (/ 1 (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2)))) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2)))) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4)))) |
(fma.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(/ (pow b 2) a) |
(/.f64 (*.f64 b b) a) |
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 451 |
| 0 | 84 | 451 |
| 1 | 365 | 438 |
| 2 | 2852 | 434 |
| 0 | 8537 | 404 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) |
#s(approx (+ (* b b) 4) (*.f64 b b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) |
#s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 b a) a) b) |
(/.f64 b (*.f64 a a)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)) |
(fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) (*.f64 b b))) |
(*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) |
(*.f64 b #s(approx (+ (* b b) 4) (*.f64 b b))) |
#s(approx (+ (* b b) 4) (*.f64 b b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) |
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
#s(approx (+ (* (* 4 b) b) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 4 binary64) b) b) |
(*.f64 #s(literal 4 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal 4 binary64)) |
(*.f64 b (*.f64 #s(literal 4 binary64) b)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) |
(*.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) |
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (*.f64 a (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))))) |
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) |
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) |
(fma.f64 b (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) |
(fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 a a)) |
(+.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b))) |
(*.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -16 binary64)) (pow.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a a) #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a a) #s(literal -4 binary64)) (fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -16 binary64))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b a) #s(literal 6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b a) a)) b #s(literal -1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 b a)) (*.f64 b a) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 (*.f64 b a) a)) b (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (*.f64 b a)) (*.f64 b a) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (pow.f64 a #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) b) (*.f64 (*.f64 b a) a) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) b) (*.f64 (*.f64 b a) a) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 b a) a) (*.f64 b (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 b a) a) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) b) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b a) (*.f64 (*.f64 b a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b a) (*.f64 a (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) b)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 b a) (*.f64 (*.f64 b a) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 b (*.f64 (*.f64 (*.f64 b a) a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 (*.f64 a a) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) b)) #s(literal -1 binary64)) |
(fma.f64 b (*.f64 (*.f64 (*.f64 b a) a) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 a (*.f64 (*.f64 b a) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) b)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 b a) b) a) |
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(*.f64 b (*.f64 (*.f64 b a) a)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(*.f64 a (*.f64 (*.f64 b a) b)) |
(*.f64 a (*.f64 b (*.f64 b a))) |
(pow.f64 (*.f64 b a) #s(literal 2 binary64)) |
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(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal 2 binary64))) |
(*.f64 (/.f64 b a) (pow.f64 a #s(literal -1 binary64))) |
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(*.f64 (pow.f64 a #s(literal -2 binary64)) b) |
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(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 a a))) |
(*.f64 b (pow.f64 a #s(literal -2 binary64))) |
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(pow.f64 (/.f64 (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 a a) b) #s(literal -1 binary64)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 a a)) |
(/.f64 (neg.f64 (/.f64 b a)) (neg.f64 a)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) |
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(*.f64 (pow.f64 (/.f64 a (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b b #s(literal 4 binary64))) |
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(*.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) |
(pow.f64 (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b b #s(literal -4 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 a #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64)))) (neg.f64 (neg.f64 a))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) a)) |
(/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)) a) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 a (fma.f64 b b #s(literal -4 binary64)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) (neg.f64 a)) |
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b b #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b b #s(literal 4 binary64))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))) |
Compiled 14 815 to 1 289 computations (91.3% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 5 | 273 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 4 | 6 |
| Total | 273 | 12 | 285 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.7% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ✓ | 70.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| ✓ | 66.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
| 66.7% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) | |
| ✓ | 47.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| 43.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| 46.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| 46.4% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) | |
| 63.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 #s(approx (/ (+ (* b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| ✓ | 50.3% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
| 26.8% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) | |
| ✓ | 24.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
Compiled 1 225 to 370 computations (69.8% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 #s(approx (/ (+ (* b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #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 b b))) #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 b b))) #s(literal 1 binary64)) |
6 calls:
| 9.0ms | a |
| 8.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 7.0ms | b |
| 7.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 7.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | a |
| 99.9% | 1 | b |
| 99.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 99.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 99.9% | 1 | (*.f64 a a) |
| 99.9% | 1 | (*.f64 b b) |
Compiled 40 to 32 computations (20% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 #s(approx (/ (+ (* b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
6 calls:
| 7.0ms | b |
| 7.0ms | a |
| 7.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 6.0ms | (*.f64 b b) |
| 6.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | a |
| 98.4% | 2 | b |
| 88.9% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 88.9% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 97.6% | 2 | (*.f64 a a) |
| 98.4% | 2 | (*.f64 b b) |
Compiled 40 to 32 computations (20% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 #s(approx (/ (+ (* b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (fma.f64 (*.f64 (*.f64 (*.f64 b a) a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | (*.f64 b b) |
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | b |
| 98.4% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))) |
2 calls:
| 4.0ms | b |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | b |
| 98.3% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) |
4 calls:
| 5.0ms | b |
| 4.0ms | a |
| 4.0ms | (*.f64 a a) |
| 4.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | a |
| 97.6% | 2 | (*.f64 a a) |
| 96.4% | 2 | b |
| 96.4% | 2 | (*.f64 b b) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
4 calls:
| 5.0ms | (*.f64 b b) |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | b |
| 96.4% | 2 | (*.f64 b b) |
| 95.2% | 2 | a |
| 95.2% | 2 | (*.f64 a a) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
4 calls:
| 6.0ms | a |
| 4.0ms | b |
| 3.0ms | (*.f64 b b) |
| 3.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | a |
| 95.0% | 2 | (*.f64 a a) |
| 73.6% | 2 | b |
| 73.2% | 2 | (*.f64 b b) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
2 calls:
| 3.0ms | a |
| 3.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | a |
| 95.0% | 2 | (*.f64 a a) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
2 calls:
| 3.0ms | a |
| 2.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | a |
| 94.9% | 2 | (*.f64 a a) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
2 calls:
| 5.0ms | (*.f64 a a) |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | a |
| 94.9% | 2 | (*.f64 a a) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) |
4 calls:
| 2.0ms | a |
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 2.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 70.2% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 85.6% | 2 | a |
| 85.6% | 2 | (*.f64 a a) |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
6 calls:
| 5.0ms | a |
| 2.0ms | b |
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 2.0ms | (*.f64 a a) |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 50.3% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 50.3% | 1 | (*.f64 b b) |
| 50.3% | 1 | b |
| 50.3% | 1 | a |
| 50.3% | 1 | (*.f64 a a) |
Compiled 40 to 32 computations (20% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))) |
6 calls:
| 4.0ms | b |
| 2.0ms | a |
| 2.0ms | (*.f64 a a) |
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 2 | b |
| 50.2% | 2 | (*.f64 b b) |
| 50.6% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 50.6% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 35.4% | 2 | a |
| 35.4% | 2 | (*.f64 a a) |
Compiled 40 to 32 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
6 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
| 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 b b))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.9% | 1 | a |
| 24.9% | 1 | (*.f64 a a) |
| 24.9% | 1 | (*.f64 b b) |
| 24.9% | 1 | b |
| 24.9% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) |
| 24.9% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) |
Compiled 40 to 32 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.006759673461956e+27 | 2.8522236546615985e+28 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.006759673461956e+27 | 2.8522236546615985e+28 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.006759673461956e+27 | 2.8522236546615985e+28 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 469273821754530800.0 | 7.133199142171366e+21 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.296801145103215e+88 | 1.1291163405468083e+89 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3898055381878423e+47 | 3.33632689036328e+50 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3898055381878423e+47 | 3.33632689036328e+50 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3898055381878423e+47 | 3.33632689036328e+50 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3898055381878423e+47 | 3.33632689036328e+50 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.14497453062263083 | 63.92361992041724 |
Compiled 20 to 16 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02101761452925212 | 4086.2291837299636 |
Compiled 20 to 17 computations (15% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 844 |
| 1 | 126 | 844 |
| 2 | 164 | 844 |
| 3 | 283 | 844 |
| 4 | 594 | 844 |
| 5 | 1682 | 844 |
| 6 | 3836 | 844 |
| 7 | 6936 | 844 |
| 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 b b))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999583119736832 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999583119736832 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999583119736832 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 a a) #s(literal 500000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 b b) #s(literal 99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #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 b b))) #s(literal 1 binary64)) |
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999583119736832 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999583119736832 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 b b) #s(literal 9999999999999999583119736832 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 a a) #s(literal 500000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 b b) #s(literal 99999999999999999475366575191804932315794610450682175621941694731908308538307845136842752 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 200000000000000008769168609015239470926809530368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
(if (<=.f64 (*.f64 a a) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* 4 b) b) -1) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 451 |
| 0 | 84 | 451 |
| 1 | 365 | 438 |
| 2 | 2852 | 434 |
| 0 | 8537 | 404 |
| 0 | 100 | 655 |
| 1 | 302 | 611 |
| 2 | 891 | 597 |
| 3 | 3600 | 569 |
| 4 | 6675 | 569 |
| 0 | 8180 | 499 |
| 0 | 79 | 494 |
| 1 | 240 | 458 |
| 2 | 671 | 450 |
| 3 | 3123 | 434 |
| 4 | 7175 | 434 |
| 0 | 8202 | 383 |
| 0 | 109 | 806 |
| 1 | 342 | 752 |
| 2 | 1030 | 732 |
| 3 | 4026 | 720 |
| 4 | 7652 | 720 |
| 0 | 8014 | 631 |
| 0 | 33 | 295 |
| 0 | 52 | 295 |
| 1 | 249 | 295 |
| 2 | 1893 | 295 |
| 0 | 8396 | 271 |
| 0 | 139 | 754 |
| 1 | 424 | 726 |
| 2 | 1242 | 706 |
| 3 | 3915 | 682 |
| 4 | 7066 | 678 |
| 0 | 8524 | 609 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 295 to 495 computations (61.8% saved)
(abs a)
(abs b)
Compiled 1 858 to 318 computations (82.9% saved)
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