
Time bar (total: 7.6s)
| 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 31 to 19 computations (38.7% saved)
| 808.0ms | 8 256× | 0 | valid |
ival-mult: 271.0ms (43.4% of total)ival-add: 146.0ms (23.4% of total)ival-pow2: 99.0ms (15.9% of total)ival-sub: 88.0ms (14.1% of total)exact: 11.0ms (1.8% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 51 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 38 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
| 19 | 0 | - | 1 | (6.957376561047578e+90 -3.096404374063714e-159) | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) | nan-rescue | 51 | 0 |
| ↳ | (*.f64 b b) | overflow | 64 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 154 | |
| ↳ | (*.f64 a a) | overflow | 68 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 116 | |
| ↳ | (*.f64 b b) | overflow | 64 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) | overflow | 126 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | overflow | 126 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 82 | |
| ↳ | (*.f64 a a) | overflow | 68 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | nan-rescue | 38 | 0 |
| ↳ | (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) | overflow | 82 | |
| ↳ | (*.f64 a a) | overflow | 68 | |
| ↳ | (*.f64 b b) | overflow | 64 | |
| ↳ | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | overflow | 82 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 70 | 0 |
| - | 0 | 186 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 70 | 0 | 0 |
| - | 0 | 0 | 186 |
| number | freq |
|---|---|
| 0 | 186 |
| 1 | 51 |
| 2 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 81.0ms | 512× | 0 | valid |
Compiled 441 to 76 computations (82.8% saved)
ival-mult: 40.0ms (66.2% of total)ival-add: 9.0ms (14.9% of total)ival-sub: 5.0ms (8.3% of total)ival-pow2: 5.0ms (8.3% of total)exact: 1.0ms (1.7% 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 | 44 | 149 |
| 1 | 154 | 147 |
| 2 | 653 | 145 |
| 3 | 2940 | 145 |
| 4 | 6883 | 145 |
| 0 | 18 | 29 |
| 0 | 30 | 29 |
| 1 | 63 | 29 |
| 2 | 178 | 29 |
| 3 | 552 | 29 |
| 4 | 1558 | 29 |
| 5 | 2836 | 29 |
| 6 | 6703 | 29 |
| 0 | 8091 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(abs b)
Compiled 29 to 18 computations (37.9% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.5% | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
Compiled 29 to 18 computations (37.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| cost-diff | 128 | (+.f64 (*.f64 a a) (*.f64 b b)) | |
| cost-diff | 128 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 136 |
| 0 | 30 | 136 |
| 1 | 63 | 136 |
| 2 | 178 | 136 |
| 3 | 552 | 136 |
| 4 | 1558 | 136 |
| 5 | 2836 | 136 |
| 6 | 6703 | 136 |
| 0 | 8091 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(fma.f64 b b (*.f64 a a)) |
(*.f64 a a) |
a |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(-.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11947250976844201 | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | |
| accuracy | 4.058443688177356 | (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) | |
| accuracy | 8.535117030773913 | (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) | |
| accuracy | 10.171875000000002 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 74.0ms | 256× | 0 | valid |
Compiled 274 to 38 computations (86.1% saved)
ival-mult: 7.0ms (40.6% of total)ival-add: 4.0ms (23.2% of total)ival-sub: 2.0ms (11.6% of total)ival-pow2: 2.0ms (11.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | b | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 21.0ms | b | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 2.0ms | a | @ | inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1.0ms | a | @ | 0 | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1.0ms | a | @ | -inf | ((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (pow (+ (* a a) (* b b)) 2) (* (* b b) (+ 3 a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 754 |
| 1 | 564 | 731 |
| 2 | 1725 | 707 |
| 3 | 5123 | 682 |
| 4 | 7250 | 682 |
| 0 | 8277 | 625 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(pow b 2) |
(+ (pow a 2) (pow b 2)) |
(* 3 (pow b 2)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(pow b 4) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(* a (pow b 2)) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* (pow a 2) (- 1 a)) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(* (pow b 2) (+ 3 a)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
| Outputs |
|---|
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(pow b 2) |
(*.f64 b b) |
(+ (pow a 2) (pow b 2)) |
(fma.f64 b b (*.f64 a a)) |
(* 3 (pow b 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 b b)) |
(+ (* 3 (pow b 2)) (* a (pow b 2))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a)) |
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 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 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* a (pow b 2)) |
(*.f64 (*.f64 b b) a) |
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(* (pow a 2) (- 1 a)) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)) |
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 3 a)) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) |
(fma.f64 b b (*.f64 a a)) |
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b)) |
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 28 | 65 |
| 1 | 123 | 65 |
| 2 | 1061 | 65 |
| 0 | 8481 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
(+.f64 (*.f64 a a) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) |
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))) #s(literal 4 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 a b))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 a b) (-.f64 a b))) |
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b))) |
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (pow.f64 (-.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (pow.f64 (-.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) |
(*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) |
(*.f64 b (*.f64 (+.f64 #s(literal 3 binary64) a) b)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) a) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))) (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))))) |
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) a))) |
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 (*.f64 b b) a)) |
(fma.f64 (*.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b a) b)) |
(fma.f64 (*.f64 b a) b (*.f64 (*.f64 b #s(literal 3 binary64)) b)) |
(fma.f64 (*.f64 a b) b (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 (*.f64 b b) a)) |
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 (*.f64 b b) a)) |
(fma.f64 (*.f64 b b) a (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(fma.f64 b (*.f64 #s(literal 3 binary64) b) (*.f64 b (*.f64 a b))) |
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 b b) a)) |
(fma.f64 b (*.f64 b a) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(fma.f64 b (*.f64 a b) (*.f64 b (*.f64 #s(literal 3 binary64) b))) |
(fma.f64 a (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))) |
(+.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) b) (*.f64 (*.f64 b a) b)) |
(+.f64 (*.f64 (*.f64 b a) b) (*.f64 (*.f64 b #s(literal 3 binary64)) b)) |
(+.f64 (*.f64 b (*.f64 #s(literal 3 binary64) b)) (*.f64 b (*.f64 a b))) |
(+.f64 (*.f64 b (*.f64 a b)) (*.f64 b (*.f64 #s(literal 3 binary64) b))) |
(+.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)) |
Compiled 31 022 to 2 458 computations (92.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 5 | 490 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 486 | 5 | 491 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 72.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 71.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 66.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| ▶ | 72.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
Compiled 404 to 258 computations (36.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 a) a a) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 6272 | (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 6144 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 565 |
| 0 | 75 | 565 |
| 1 | 145 | 565 |
| 2 | 325 | 565 |
| 3 | 803 | 565 |
| 4 | 2005 | 565 |
| 5 | 3831 | 565 |
| 6 | 6716 | 565 |
| 0 | 8424 | 532 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
b |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(fma.f64 (neg.f64 a) a a) |
(neg.f64 a) |
a |
#s(literal 4 binary64) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
#s(literal 4 binary64) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
a |
(pow.f64 a #s(literal 4 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) |
b |
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) |
#s(literal 4 binary64) |
a |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(fma.f64 (neg.f64 a) a a) |
(*.f64 (-.f64 #s(literal 1 binary64) a) a) |
(neg.f64 a) |
a |
#s(literal 4 binary64) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) |
#s(literal 4 binary64) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) |
(*.f64 b b) |
b |
#s(literal 2 binary64) |
a |
(pow.f64 a #s(literal 4 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.0967147818225906 | (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) | |
| accuracy | 4.2210392798510705 | (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) | |
| accuracy | 18.862455310647597 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) | |
| accuracy | 25.425039972572527 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.0 | (neg.f64 a) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 (neg.f64 a) a a) a) | |
| accuracy | 8.996757519536885 | (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 23.14085967789561 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) | |
| accuracy | 29.730307252561555 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) | |
| accuracy | 23.52903026913292 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) | |
| accuracy | 0.0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.11871998993272954 | (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) | |
| accuracy | 23.258635884630465 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
| 82.0ms | 240× | 0 | valid |
| 15.0ms | 14× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
Compiled 1 036 to 92 computations (91.1% saved)
ival-mult: 22.0ms (37.3% of total)ival-add: 11.0ms (18.6% of total)adjust: 7.0ms (11.9% of total)ival-pow: 6.0ms (10.2% of total)ival-sub: 5.0ms (8.5% of total)ival-div: 3.0ms (5.1% of total)ival-pow2: 3.0ms (5.1% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
(neg.f64 a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(pow a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 a))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -4 a) (* 2 (pow b 2))))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (- a 4))))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (+ 4 (+ (* -4 a) (* 2 (pow b 2)))) (pow a 2)) |
(/ (+ 4 (+ (* 2 (pow b 2)) (* a (- a 4)))) (pow a 2)) |
(* -1 a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/ (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 4 a)) (pow a 2)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
1 |
(- 1 (* 4 (/ 1 a))) |
(- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))) |
(/ 4 a) |
(/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))) |
(* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)) |
(* 12 (pow b 2)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(pow b 2) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a))))) |
(- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a))) |
(- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 (pow a 2))))) (* 4 (/ 1 a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(/ (- 4 (* 4 (/ 1 a))) a) |
(- (+ (* -2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a))) (/ 4 (pow a 2))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a)))) (pow b 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow b 2)) (/ 4 (* (pow a 2) (pow b 2))))) (/ 4 (* a (pow b 2))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* -2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (/ 4 (* a (pow b 2))) (+ (* 2 (/ 1 (pow a 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | ((+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (neg a) (/ (+ (* (* b b) 2) 4) a) (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) |
| 7.0ms | b | @ | 0 | ((+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (neg a) (/ (+ (* (* b b) 2) 4) a) (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) |
| 4.0ms | a | @ | 0 | ((+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (neg a) (/ (+ (* (* b b) 2) 4) a) (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) |
| 4.0ms | b | @ | inf | ((+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (neg a) (/ (+ (* (* b b) 2) 4) a) (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) |
| 3.0ms | b | @ | -inf | ((+ (* (* b b) 12) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (neg a) a) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (pow a 4)) (- 1 (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) (neg a) (/ (+ (* (* b b) 2) 4) a) (/ (- 4 (/ (+ (* (* b b) 2) 4) a)) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 1346 |
| 1 | 761 | 1290 |
| 2 | 2227 | 1240 |
| 3 | 6356 | 1207 |
| 0 | 8216 | 1100 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(* b (+ 12 (pow b 2))) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(pow a 4) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* -1 a))) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(* (pow a 2) (+ 4 (+ (* -4 a) (* 2 (pow b 2))))) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (- a 4))))) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/ (+ 4 (+ (* -4 a) (* 2 (pow b 2)))) (pow a 2)) |
(/ (+ 4 (+ (* 2 (pow b 2)) (* a (- a 4)))) (pow a 2)) |
(* -1 a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/ (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 4 a)) (pow a 2)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* -1 (pow a 3)) |
(* (pow a 3) (- (/ 1 a) 1)) |
1 |
(- 1 (* 4 (/ 1 a))) |
(- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))) |
(/ 4 a) |
(/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))) |
(* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)) |
(* 12 (pow b 2)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(pow b 2) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a)))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a))))) |
(- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a))) |
(- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 (pow a 2))))) (* 4 (/ 1 a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(/ (- 4 (* 4 (/ 1 a))) a) |
(- (+ (* -2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a))) (/ 4 (pow a 2))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* 2 (* (pow a 2) (pow b 2))) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a)))) (pow b 2)))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow b 2)) (/ 4 (* (pow a 2) (pow b 2))))) (/ 4 (* a (pow b 2))))) |
(* 2 (/ (pow b 2) a)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(* -2 (/ (pow b 2) (pow a 2))) |
(* (pow b 2) (- (/ 4 (* a (pow b 2))) (+ (* 2 (/ 1 (pow a 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) #s(literal 1 binary64)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+.f64 (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(* b (+ 12 (pow b 2))) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* -1 a))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(* (pow a 2) (+ 4 (* 2 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (+ (* -4 a) (* 2 (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* a (- a 4))))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(/ (+ 4 (* 2 (pow b 2))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) |
(/ (+ 4 (+ (* -4 a) (* 2 (pow b 2)))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(/ (+ 4 (+ (* 2 (pow b 2)) (* a (- a 4)))) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a) |
(* -1 a) |
(neg.f64 a) |
(/ (+ 4 (* 2 (pow b 2))) a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* -1 (/ (+ 4 (* 2 (pow b 2))) (pow a 2))) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64)) a) a) |
(/ (+ (* -1 (+ 4 (* 2 (pow b 2)))) (* 4 a)) (pow a 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal -4 binary64))) a) a) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64))) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* 4 (* a b)) |
(*.f64 (*.f64 a b) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a))) |
(*.f64 (*.f64 a b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (pow a 3)) |
(neg.f64 (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (- (/ 1 a) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
1 |
#s(literal 1 binary64) |
(- 1 (* 4 (/ 1 a))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) |
(- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(/ 4 a) |
(/.f64 #s(literal 4 binary64) a) |
(/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))))) |
(*.f64 (*.f64 a b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- 1 (/ 1 a)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) |
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
(* -1 (/ (- (+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) 4) a)) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64))) |
(* b (+ 12 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b) b (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64)))) |
(- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) |
(- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 (pow a 2))))) (* 4 (/ 1 a))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) |
(+ (* 2 (/ (pow b 2) a)) (* 4 (/ 1 a))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/ (- 4 (* 4 (/ 1 a))) a) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a) |
(- (+ (* -2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a))) (/ 4 (pow a 2))) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)))) |
(* 2 (* (pow a 2) (pow b 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (* 4 (/ 1 a)))) (pow b 2)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))) |
(* 2 (/ (pow b 2) (pow a 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a)) |
(* (pow b 2) (- (+ (* 2 (/ 1 (pow a 2))) (+ (/ 1 (pow b 2)) (/ 4 (* (pow a 2) (pow b 2))))) (/ 4 (* a (pow b 2))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) #s(literal 2 binary64))) (*.f64 b b) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) |
(* 2 (/ (pow b 2) a)) |
(*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) |
(* (pow b 2) (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* a (pow b 2)))))) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(* -2 (/ (pow b 2) (pow a 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) a) (/.f64 b a)) |
(* (pow b 2) (- (/ 4 (* a (pow b 2))) (+ (* 2 (/ 1 (pow a 2))) (/ 4 (* (pow a 2) (pow b 2)))))) |
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) #s(literal 2 binary64))) (*.f64 b b) (/.f64 #s(literal 4 binary64) a)) |
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 501 |
| 0 | 75 | 501 |
| 1 | 377 | 501 |
| 2 | 3189 | 501 |
| 0 | 9577 | 461 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 b b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) |
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (neg.f64 a) a a) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) |
(neg.f64 a) |
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b)))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))) (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 1728 binary64) (pow.f64 b #s(literal 12 binary64))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(fma.f64 b (*.f64 #s(literal 12 binary64) b) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))))) |
(+.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) |
(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))))) |
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 b b) |
(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))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 4 binary64)) #s(literal 16 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 a #s(literal -3 binary64))) (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 4 binary64)) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 4 binary64)) #s(literal 16 binary64)) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) #s(literal 1 binary64)) a) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (neg.f64 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) a) |
(/.f64 (-.f64 (*.f64 a #s(literal 4 binary64)) (*.f64 a (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) (*.f64 a a)) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 2 binary64))) (*.f64 a (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))))) |
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 3 binary64))) (*.f64 a (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) #s(literal 4 binary64)) #s(literal 16 binary64)))) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (neg.f64 a)) |
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) |
(fma.f64 #s(literal 4 binary64) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
(-.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 4 binary64) a) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) |
Compiled 28 967 to 2 044 computations (92.9% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 10 | 485 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 479 | 11 | 490 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) | |
| ✓ | 71.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ▶ | 72.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
| ▶ | 72.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| 71.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| ▶ | 43.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
| 56.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| 72.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 54.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| 72.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| ▶ | 72.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
Compiled 907 to 560 computations (38.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 b b #s(literal 12 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 554 |
| 0 | 85 | 550 |
| 1 | 160 | 547 |
| 2 | 350 | 547 |
| 3 | 856 | 541 |
| 4 | 2230 | 535 |
| 5 | 3941 | 535 |
| 6 | 6779 | 535 |
| 0 | 8227 | 504 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) |
#s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 b b)) |
a |
#s(literal 4 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 12 binary64) b) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(*.f64 b b) |
b |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
b |
#s(literal 12 binary64) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) |
#s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
#s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
#s(literal -4 binary64) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) |
(fma.f64 a #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
a |
#s(literal 4 binary64) |
(*.f64 b b) |
b |
(*.f64 #s(literal 12 binary64) b) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) | |
| accuracy | 0.140625 | (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) | |
| accuracy | 23.52903026913292 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.07878876953688403 | (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) | |
| accuracy | 22.1131101370938 | #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) | |
| accuracy | 23.14085967789561 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) | |
| accuracy | 0.0 | (fma.f64 b b #s(literal 12 binary64)) | |
| accuracy | 0.029628759768442016 | (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) | |
| accuracy | 17.52825495978619 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| accuracy | 0.0 | (*.f64 b b) | |
| accuracy | 0.20856373993272956 | (*.f64 (*.f64 b b) #s(literal 12 binary64)) | |
| accuracy | 13.665280394647557 | #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) | |
| accuracy | 23.258635884630465 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) | |
| accuracy | 0.0 | (-.f64 a #s(literal 4 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) | |
| accuracy | 23.14085967789561 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
| 97.0ms | 231× | 0 | valid |
| 9.0ms | 10× | 3 | valid |
| 6.0ms | 11× | 1 | valid |
| 3.0ms | 4× | 2 | valid |
Compiled 969 to 111 computations (88.5% saved)
ival-mult: 30.0ms (45.5% of total)ival-add: 15.0ms (22.8% of total)ival-pow: 8.0ms (12.1% of total)adjust: 5.0ms (7.6% of total)ival-sub: 4.0ms (6.1% of total)ival-pow2: 3.0ms (4.6% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) |
#s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
(-.f64 a #s(literal 4 binary64)) |
(*.f64 b b) |
(*.f64 a a) |
(fma.f64 a #s(literal 4 binary64) (*.f64 b b)) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(+ (* 12 b) (pow b 3)) |
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3))) |
(* b (+ (* 12 b) (pow b 3))) |
(+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) |
-4 |
(- a 4) |
(pow a 2) |
(pow b 2) |
(+ (* 4 a) (pow b 2)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* -4 (pow a 3)) |
(* (pow a 3) (- (* 4 (/ 1 a)) 4)) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (+ (* 12 (/ b a)) (/ (pow b 3) a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* b (+ (* 12 b) (pow b 3))) a))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* a (+ 4 (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* b (+ (* 12 b) (pow b 3))) a))))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(* 12 b) |
(* b (+ 12 (pow b 2))) |
12 |
(+ 12 (pow b 2)) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ a (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -4 (/ a (pow b 2))) (+ 1 (* 12 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (* -1 (/ (- (* -4 a) 12) (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (* (+ (* -4 a) 4) (* a a)) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- a 4) (* b b) (* a a) (+ (* a 4) (* b b))) |
| 3.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (* (+ (* -4 a) 4) (* a a)) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- a 4) (* b b) (* a a) (+ (* a 4) (* b b))) |
| 2.0ms | b | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (* (+ (* -4 a) 4) (* a a)) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- a 4) (* b b) (* a a) (+ (* a 4) (* b b))) |
| 2.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (* (+ (* -4 a) 4) (* a a)) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- a 4) (* b b) (* a a) (+ (* a 4) (* b b))) |
| 2.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (* (+ (* -4 a) 4) (* a a)) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- a 4) (* b b) (* a a) (+ (* a 4) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 1103 |
| 1 | 722 | 1039 |
| 2 | 2162 | 1017 |
| 3 | 6028 | 997 |
| 0 | 8159 | 886 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(+ (* 12 b) (pow b 3)) |
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3))) |
(* b (+ (* 12 b) (pow b 3))) |
(+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) |
-4 |
(- a 4) |
(pow a 2) |
(pow b 2) |
(+ (* 4 a) (pow b 2)) |
(pow a 4) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* -4 (pow a 3)) |
(* (pow a 3) (- (* 4 (/ 1 a)) 4)) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (+ (* 12 (/ b a)) (/ (pow b 3) a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* b (+ (* 12 b) (pow b 3))) a))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(* a (+ 4 (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a))))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* b (+ (* 12 b) (pow b 3))) a))))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* 12 (pow b 2)) |
(* (pow b 2) (+ 12 (pow b 2))) |
-1 |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(* 12 b) |
(* b (+ 12 (pow b 2))) |
12 |
(+ 12 (pow b 2)) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ a (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -4 (/ a (pow b 2))) (+ 1 (* 12 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (* -1 (/ (- (* -4 a) 12) (pow b 2))))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(-.f64 (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* -4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (- a 4)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(+ (* 12 b) (pow b 3)) |
(fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) |
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* b (+ (* 12 b) (pow b 3))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
-4 |
#s(literal -4 binary64) |
(- a 4) |
(-.f64 a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(pow b 2) |
(*.f64 b b) |
(+ (* 4 a) (pow b 2)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -4 (pow a 3)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) |
(* (pow a 3) (- (* 4 (/ 1 a)) 4)) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (+ (* 12 (/ b a)) (/ (pow b 3) a)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (+ (* 4 (pow b 2)) (/ (* b (+ (* 12 b) (pow b 3))) a))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a) |
(* a (+ 4 (/ (pow b 2) a))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a))))) |
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* b (+ (* 12 b) (pow b 3))) a))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) 4))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))) |
(* 12 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
(* (pow b 2) (+ 12 (pow b 2))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(* 12 b) |
(*.f64 #s(literal 12 binary64) b) |
(* b (+ 12 (pow b 2))) |
(fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) |
12 |
#s(literal 12 binary64) |
(+ 12 (pow b 2)) |
(fma.f64 b b #s(literal 12 binary64)) |
(* b (+ 12 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 12 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 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(fma.f64 b b #s(literal 12 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (* 4 (/ a (pow b 2))))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -4 (/ a (pow b 2))) (+ 1 (* 12 (/ 1 (pow b 2))))))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* (pow b 4) (+ 1 (* -1 (/ (- (* -4 a) 12) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 520 |
| 0 | 85 | 516 |
| 1 | 401 | 510 |
| 2 | 3225 | 510 |
| 0 | 8325 | 467 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) |
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))) |
(*.f64 (*.f64 b b) #s(literal 12 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) |
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b) |
(fma.f64 b b #s(literal 12 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) |
#s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) |
(fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
(*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
(-.f64 a #s(literal 4 binary64)) |
(*.f64 b b) |
(*.f64 a a) |
(fma.f64 a #s(literal 4 binary64) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) |
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) |
(*.f64 (*.f64 a a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)) |
(*.f64 a (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 a a)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(*.f64 a (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64))) |
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(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))) |
(fma.f64 #s(literal 1 binary64) a #s(literal -4 binary64)) |
(fma.f64 a #s(literal 1 binary64) #s(literal -4 binary64)) |
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) a))) |
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))) (/.f64 #s(literal 64 binary64) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))))) |
(-.f64 a #s(literal 4 binary64)) |
(+.f64 #s(literal -4 binary64) a) |
(+.f64 a #s(literal -4 binary64)) |
(*.f64 b b) |
(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))) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 a a) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) b) b))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) b) b))) (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)) (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 a a))) (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) b) b))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) b) b)))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) b) b))) (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(fma.f64 b b (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 a #s(literal 4 binary64) (*.f64 b b)) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) a (*.f64 (neg.f64 b) b)))) |
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) a)) |
Compiled 24 076 to 1 465 computations (93.9% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 6 | 354 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 352 | 13 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) | |
| ▶ | 72.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
| ✓ | 72.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
| 71.4% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) | |
| ▶ | 56.0% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
| ✓ | 43.5% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
| ✓ | 54.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ▶ | 72.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
| ✓ | 72.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
| 54.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| 45.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ▶ | 44.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
| ▶ | 28.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
Compiled 913 to 560 computations (38.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 a #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) | |
| cost-diff | 192 | (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) | |
| cost-diff | 0 | #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) | |
| cost-diff | 0 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 a #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 428 |
| 0 | 67 | 424 |
| 1 | 124 | 424 |
| 2 | 276 | 424 |
| 3 | 746 | 424 |
| 4 | 1919 | 424 |
| 5 | 3274 | 424 |
| 6 | 6910 | 424 |
| 0 | 8339 | 394 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
(*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
(fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
#s(approx (+ (* a 4) (* b b)) (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal 12 binary64) b) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
(*.f64 a a) |
#s(literal -1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (+.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (+.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
(*.f64 (+.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)) (*.f64 b b)) |
(fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(*.f64 (+.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)) b) |
#s(approx (+ (* a 4) (* b b)) (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal 12 binary64) b) |
#s(literal 12 binary64) |
#s(literal 1 binary64) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
a |
#s(literal 4 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 a #s(literal 4 binary64)) | |
| accuracy | 35.233512288805194 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.0546875 | (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) | |
| accuracy | 0.140625 | (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) | |
| accuracy | 23.52903026913292 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) | |
| accuracy | 31.569301372923256 | #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) a) | |
| accuracy | 0.05078125 | (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) | |
| accuracy | 23.14085967789561 | #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) | |
| accuracy | 30.24120822989774 | #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) | |
| accuracy | 17.52825495978619 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) | |
| accuracy | 30.87460146265565 | #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 a #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) | |
| accuracy | 17.295454202309827 | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
| 57.0ms | 248× | 0 | valid |
| 2.0ms | 6× | 1 | valid |
| 1.0ms | 2× | 2 | valid |
Compiled 749 to 95 computations (87.3% saved)
ival-mult: 24.0ms (52.5% of total)ival-add: 11.0ms (24.1% of total)ival-pow: 4.0ms (8.8% of total)ival-sub: 3.0ms (6.6% of total)ival-pow2: 2.0ms (4.4% of total)adjust: 1.0ms (2.2% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
(*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
(*.f64 #s(literal 4 binary64) a) |
#s(approx (+ (* a 4) (* b b)) (*.f64 b b)) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
-4 |
(- a 4) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(+ (* 12 b) (pow b 3)) |
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3))) |
(* b (+ (* 12 b) (pow b 3))) |
(+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) |
(pow a 4) |
(pow a 2) |
(pow b 2) |
(+ (* 4 a) (pow b 2)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (+ (* 12 (/ b a)) (/ (pow b 3) a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* b (+ (* 12 b) (pow b 3))) a))) |
(* a (+ 4 (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* b (+ (* 12 b) (pow b 3))) a))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ a (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -4 (/ a (pow b 2))) (+ 1 (* 12 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (* -1 (/ (- (* -4 a) 12) (pow b 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- a 4) a) 4) (* a a)) -1) (+ (* (- a 4) a) 4) (- a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow a 4) (* a a) (* 4 a) (+ (* a 4) (* b b))) |
| 2.0ms | a | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- a 4) a) 4) (* a a)) -1) (+ (* (- a 4) a) 4) (- a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow a 4) (* a a) (* 4 a) (+ (* a 4) (* b b))) |
| 2.0ms | b | @ | inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- a 4) a) 4) (* a a)) -1) (+ (* (- a 4) a) 4) (- a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow a 4) (* a a) (* 4 a) (+ (* a 4) (* b b))) |
| 2.0ms | a | @ | 0 | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- a 4) a) 4) (* a a)) -1) (+ (* (- a 4) a) 4) (- a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow a 4) (* a a) (* 4 a) (+ (* a 4) (* b b))) |
| 2.0ms | b | @ | -inf | ((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (- a 4) a) 4) (* a a)) -1) (+ (* (- a 4) a) 4) (- a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* (+ (* a 4) (* b b)) b) (* 12 b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow a 4) (* a a) (* 4 a) (+ (* a 4) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 1193 |
| 1 | 755 | 1136 |
| 2 | 2240 | 1108 |
| 3 | 6350 | 1079 |
| 0 | 8192 | 970 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
-1 |
(- (* 4 (pow a 2)) 1) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
4 |
(+ 4 (* -4 a)) |
(+ 4 (* a (- a 4))) |
-4 |
(- a 4) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(* 4 (pow a 2)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(* 4 a) |
(* a (+ 4 (* -4 a))) |
(* a (+ 4 (* a (- a 4)))) |
(+ (* 12 b) (pow b 3)) |
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3))) |
(* b (+ (* 12 b) (pow b 3))) |
(+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) |
(pow a 4) |
(pow a 2) |
(pow b 2) |
(+ (* 4 a) (pow b 2)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(pow a 3) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(* 4 (* a b)) |
(* a (+ (* 4 b) (+ (* 12 (/ b a)) (/ (pow b 3) a)))) |
(* 4 (* a (pow b 2))) |
(* a (+ (* 4 (pow b 2)) (/ (* b (+ (* 12 b) (pow b 3))) a))) |
(* a (+ 4 (/ (pow b 2) a))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))))) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* b (+ (* 12 b) (pow b 3))) a))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) 4))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(- (* 12 (pow b 2)) 1) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(* b (+ 12 (* 4 a))) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(* (pow b 2) (+ 12 (* 4 a))) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(pow b 4) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(* (pow b 2) (+ 1 (* 4 (/ a (pow b 2))))) |
(* -1 (* (pow b 3) (- (* -4 (/ a (pow b 2))) (+ 1 (* 12 (/ 1 (pow b 2))))))) |
(* (pow b 4) (+ 1 (* -1 (/ (- (* -4 a) 12) (pow b 2))))) |
| Outputs |
|---|
(- (+ (* 12 (pow b 2)) (pow b 4)) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) a (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow a 2)) 1) |
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* -4 a))) 1) |
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 a)) |
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) |
(+ 4 (* a (- a 4))) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
-4 |
#s(literal -4 binary64) |
(- a 4) |
(-.f64 a #s(literal 4 binary64)) |
(+ (* 12 (pow b 2)) (pow b 4)) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) |
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) |
(* 4 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 4 binary64)) |
(* (pow a 2) (+ 4 (* -4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) |
(* (pow a 2) (+ 4 (* a (- a 4)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) |
(* 4 a) |
(*.f64 #s(literal 4 binary64) a) |
(* a (+ 4 (* -4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) |
(* a (+ 4 (* a (- a 4)))) |
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) |
(+ (* 12 b) (pow b 3)) |
(fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) |
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* b (+ (* 12 b) (pow b 3))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
(pow a 4) |
(pow.f64 a #s(literal 4 binary64)) |
(pow a 2) |
(*.f64 a a) |
(pow b 2) |
(*.f64 b b) |
(+ (* 4 a) (pow b 2)) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(* (pow a 4) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a) |
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
a |
(* a (- 1 (* 4 (/ 1 a)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a) |
(pow a 3) |
(pow.f64 a #s(literal 3 binary64)) |
(* (pow a 3) (- 1 (* 4 (/ 1 a)))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* 4 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 4 binary64)) |
(* a (+ (* 4 b) (+ (* 12 (/ b a)) (/ (pow b 3) a)))) |
(*.f64 (fma.f64 (/.f64 b a) (fma.f64 b b #s(literal 12 binary64)) (*.f64 #s(literal 4 binary64) b)) a) |
(* 4 (* a (pow b 2))) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)) |
(* a (+ (* 4 (pow b 2)) (/ (* b (+ (* 12 b) (pow b 3))) a))) |
(*.f64 (*.f64 b (fma.f64 #s(literal 4 binary64) b (/.f64 (fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) a))) a) |
(* a (+ 4 (/ (pow b 2) a))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64))) |
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a) |
(* -1 (* a (- (* 4 (/ 1 a)) 1))) |
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a) |
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) |
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* a (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) b (/.f64 (fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) a)) a) |
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* b (+ (* 12 b) (pow b 3))) a))))) |
(*.f64 (*.f64 b (fma.f64 #s(literal 4 binary64) b (/.f64 (fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64))) a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) 4))) |
(fma.f64 #s(literal 4 binary64) a (*.f64 b b)) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) |
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(- (* 12 (pow b 2)) 1) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64)) |
(- (* (pow b 2) (+ 12 (pow b 2))) 1) |
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) |
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) |
(* b (+ 12 (* 4 a))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) |
(* b (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) |
(* (pow b 2) (+ 12 (* 4 a))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b) |
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) |
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) |
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 12 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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4))))))) |
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64))) |
(pow b 3) |
(pow.f64 b #s(literal 3 binary64)) |
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(* (pow b 2) (+ 1 (* 4 (/ a (pow b 2))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1 binary64) (*.f64 b b)) |
(* -1 (* (pow b 3) (- (* -4 (/ a (pow b 2))) (+ 1 (* 12 (/ 1 (pow b 2))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow b 4) (+ 1 (* -1 (/ (- (* -4 a) 12) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 410 |
| 0 | 67 | 406 |
| 1 | 303 | 406 |
| 2 | 2431 | 406 |
| 0 | 10357 | 369 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)) |
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) |
(-.f64 a #s(literal 4 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) |
(*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a) |
#s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) |
(fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) |
(*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
(*.f64 a a) |
(*.f64 #s(literal 4 binary64) a) |
#s(approx (+ (* a 4) (* b b)) (*.f64 b b)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal 1 binary64))))) |
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(*.f64 (*.f64 b b) (+.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64))) |
(*.f64 b (*.f64 (+.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)) b)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 12 binary64) b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 12 binary64) b) b) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) (*.f64 (*.f64 #s(literal 12 binary64) b) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 12 binary64) b) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 12 binary64) b) b) (*.f64 (*.f64 #s(literal 12 binary64) b) b) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b)) (*.f64 (*.f64 (*.f64 #s(literal 12 binary64) b) b) (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) #s(literal 3 binary64)) (*.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (-.f64 (pow.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))) |
(/.f64 (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b))) (*.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64)) (*.f64 #s(literal 144 binary64) (*.f64 b b))) b)) (neg.f64 (*.f64 b (-.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1728 binary64) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 3 binary64))) b)) (neg.f64 (fma.f64 (*.f64 #s(literal 12 binary64) b) (-.f64 (*.f64 #s(literal 12 binary64) b) (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64)) (*.f64 #s(literal 144 binary64) (*.f64 b b))))) (neg.f64 (*.f64 b (-.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64))))) |
(/.f64 (neg.f64 (*.f64 b (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1728 binary64) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 12 binary64) b) (-.f64 (*.f64 #s(literal 12 binary64) b) (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64)) (*.f64 #s(literal 144 binary64) (*.f64 b b))) b) (*.f64 b (-.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1728 binary64) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 3 binary64))) b) (fma.f64 (*.f64 #s(literal 12 binary64) b) (-.f64 (*.f64 #s(literal 12 binary64) b) (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 b (-.f64 (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64)) (*.f64 #s(literal 144 binary64) (*.f64 b b)))) (*.f64 b (-.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) #s(literal 12 binary64)))) |
(/.f64 (*.f64 b (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1728 binary64) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 12 binary64) b) (-.f64 (*.f64 #s(literal 12 binary64) b) (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (pow.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b (*.f64 (*.f64 #s(literal 12 binary64) b) b)) |
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b)) |
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b))) |
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b))) |
(fma.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(fma.f64 b (*.f64 #s(literal 12 binary64) b) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b) (*.f64 (*.f64 #s(literal 12 binary64) b) b)) |
(+.f64 (*.f64 (*.f64 #s(literal 12 binary64) b) b) (*.f64 (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b) b)) |
(+.f64 (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) |
(+.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) (*.f64 b (*.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) a) |
(*.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 a)) |
(pow.f64 (*.f64 a a) #s(literal 2 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 a a) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(approx (+ (* a 4) (* b b)) (*.f64 b b)) |
Compiled 21 745 to 1 238 computations (94.3% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 4 | 304 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 2 | 4 |
| Total | 304 | 13 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) | |
| ✓ | 72.6% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
| ✓ | 54.9% | (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
| ✓ | 72.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
| 43.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| 72.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) | |
| ✓ | 72.6% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
| 54.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) | |
| 56.0% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) | |
| 45.5% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) | |
| ✓ | 44.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
| 44.9% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) | |
| ✓ | 28.1% | #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
Compiled 1 612 to 481 computations (70.2% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
5 calls:
| 47.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 7.0ms | a |
| 7.0ms | b |
| 6.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 6.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | a |
| 97.2% | 2 | b |
| 99.9% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 99.9% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 97.2% | 2 | (*.f64 b b) |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
3 calls:
| 7.0ms | a |
| 6.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 6.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | a |
| 84.2% | 3 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 84.2% | 3 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
Compiled 57 to 37 computations (35.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64))) |
3 calls:
| 45.0ms | (*.f64 b b) |
| 7.0ms | a |
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | b |
| 97.2% | 2 | (*.f64 b b) |
| 96.8% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 #s(approx (+ (* a 4) (* b b)) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal 4 binary64) (*.f64 b b)) b (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
2 calls:
| 5.0ms | b |
| 5.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | b |
| 97.2% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
2 calls:
| 4.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 2 | b |
| 95.7% | 2 | (*.f64 b b) |
Compiled 4 to 5 computations (-25% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
3 calls:
| 3.0ms | a |
| 3.0ms | b |
| 3.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 3 | a |
| 86.9% | 2 | b |
| 86.9% | 2 | (*.f64 b b) |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) |
5 calls:
| 22.0ms | (*.f64 b b) |
| 3.0ms | a |
| 3.0ms | b |
| 2.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 2.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 2 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 72.0% | 2 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 76.6% | 3 | b |
| 76.6% | 3 | (*.f64 b b) |
| 84.0% | 3 | a |
Compiled 61 to 42 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) |
3 calls:
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 2 | b |
| 74.5% | 2 | (*.f64 b b) |
| 74.7% | 3 | a |
Compiled 5 to 7 computations (-40% saved)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 56.0% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 56.0% | 1 | a |
| 56.0% | 1 | (*.f64 b b) |
| 56.0% | 1 | b |
Compiled 61 to 42 computations (31.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 1.0ms | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 b b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.1% | 1 | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) |
| 28.1% | 1 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) |
| 28.1% | 1 | (*.f64 b b) |
| 28.1% | 1 | a |
| 28.1% | 1 | b |
Compiled 61 to 42 computations (31.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.0663014214179448e-47 | 1.1874557508571136e-40 |
| 95.0ms | -1.1135439018753716e-5 | -1.7436843070163162e-15 |
| 100.0ms | 304× | 0 | valid |
Compiled 1 666 to 1 105 computations (33.7% saved)
ival-sub: 76.0ms (81.5% of total)ival-mult: 9.0ms (9.7% of total)ival-add: 5.0ms (5.4% of total)ival-pow2: 3.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4794139097113205e+45 | 6.277176760869132e+46 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4794139097113205e+45 | 6.277176760869132e+46 |
Compiled 30 to 22 computations (26.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4794139097113205e+45 | 6.277176760869132e+46 |
Compiled 30 to 22 computations (26.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.6110244298060027e+61 | 2.672048547849577e+61 |
| 51.0ms | -7.143979350515356e+41 | -1.8941774100700992e+31 |
| 50.0ms | 224× | 0 | valid |
Compiled 1 096 to 680 computations (38% saved)
ival-mult: 37.0ms (82.1% of total)ival-add: 4.0ms (8.9% of total)ival-sub: 2.0ms (4.4% of total)ival-pow2: 2.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.6110244298060027e+61 | 2.672048547849577e+61 |
| 18.0ms | -2.584925779612716 | -1.1135439018753716e-5 |
| 17.0ms | 192× | 0 | valid |
Compiled 1 059 to 659 computations (37.8% saved)
ival-mult: 6.0ms (47.5% of total)ival-add: 3.0ms (23.8% of total)ival-sub: 2.0ms (15.8% of total)ival-pow2: 2.0ms (15.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 8.576908503032375e+152 | 8.390006763234434e+153 |
| 9.0ms | 96× | 0 | valid |
Compiled 548 to 352 computations (35.8% saved)
ival-mult: 3.0ms (47.8% of total)ival-add: 2.0ms (31.8% of total)ival-sub: 1.0ms (15.9% of total)ival-pow2: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 919 |
| 1 | 131 | 919 |
| 2 | 155 | 919 |
| 3 | 181 | 919 |
| 4 | 207 | 919 |
| 5 | 242 | 919 |
| 6 | 289 | 919 |
| 7 | 352 | 919 |
| 8 | 419 | 919 |
| 9 | 475 | 919 |
| 10 | 519 | 919 |
| 11 | 544 | 919 |
| 12 | 551 | 919 |
| 13 | 552 | 919 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 a #s(literal -8500259669165361/1180591620717411303424 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 5639583590386471/49039857307708443467467104868809893875799651909875269632 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999859514578049071102439861518336 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999859514578049071102439861518336 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999859514578049071102439861518336 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -4350000000000000029577122357817901056 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 23999999999999998785291247129776452807127480264321841754013696 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(if (<=.f64 a #s(literal -2871044762448691/1125899906842624 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 18000000000000000516216128053292220663631579647736517698256896 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(if (<=.f64 b #s(literal 1500000000000000092635461216022412607596755938342235426694854450013266235314381137631208517861784923417958559597779456808191656743264320822628532252311552 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b)) (*.f64 (+.f64 #s(literal -1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b)) (*.f64 (+.f64 #s(literal -1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)))) #s(literal 1 binary64))) |
(if (<=.f64 a #s(literal -8500259669165361/1180591620717411303424 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 5639583590386471/49039857307708443467467104868809893875799651909875269632 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(if (<=.f64 a #s(literal -8500259669165361/1180591620717411303424 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 5639583590386471/49039857307708443467467104868809893875799651909875269632 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999859514578049071102439861518336 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999859514578049071102439861518336 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999859514578049071102439861518336 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
(if (<=.f64 a #s(literal -4350000000000000029577122357817901056 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 23999999999999998785291247129776452807127480264321841754013696 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(if (<=.f64 a #s(literal -2871044762448691/1125899906842624 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 18000000000000000516216128053292220663631579647736517698256896 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))) |
(if (<=.f64 b #s(literal 1500000000000000092635461216022412607596755938342235426694854450013266235314381137631208517861784923417958559597779456808191656743264320822628532252311552 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- a 4) a) 4) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))) |
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 501 |
| 0 | 75 | 501 |
| 1 | 377 | 501 |
| 2 | 3189 | 501 |
| 0 | 9577 | 461 |
| 0 | 51 | 410 |
| 0 | 67 | 406 |
| 1 | 303 | 406 |
| 2 | 2431 | 406 |
| 0 | 10357 | 369 |
| 0 | 232 | 1193 |
| 1 | 755 | 1136 |
| 2 | 2240 | 1108 |
| 3 | 6350 | 1079 |
| 0 | 8192 | 970 |
| 0 | 235 | 1346 |
| 1 | 761 | 1290 |
| 2 | 2227 | 1240 |
| 3 | 6356 | 1207 |
| 0 | 8216 | 1100 |
| 0 | 220 | 1103 |
| 1 | 722 | 1039 |
| 2 | 2162 | 1017 |
| 3 | 6028 | 997 |
| 0 | 8159 | 886 |
| 0 | 181 | 754 |
| 1 | 564 | 731 |
| 2 | 1725 | 707 |
| 3 | 5123 | 682 |
| 4 | 7250 | 682 |
| 0 | 8277 | 625 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 483 to 540 computations (63.6% saved)
(abs b)
Compiled 2 110 to 348 computations (83.5% saved)
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