
Time bar (total: 5.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 12.5% | 87.5% | 0% | 0% | 0% | 0 |
| 100% | 12.5% | 0% | 87.5% | 0% | 0% | 0% | 1 |
Compiled 23 to 16 computations (30.4% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 531.0ms (51.2% of total)ival-sub: 226.0ms (21.8% of total)ival-<: 145.0ms (14% of total)ival-div: 103.0ms (9.9% of total)ival-and: 16.0ms (1.5% of total)exact: 12.0ms (1.2% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) m) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 m (-.f64 #s(literal 1 binary64) m)) |
| 0 | 0 | - | 0 | - | m |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 41.0ms | 512× | 0 | valid |
Compiled 91 to 28 computations (69.2% saved)
ival-mult: 6.0ms (38.4% of total)ival-sub: 5.0ms (32% of total)ival-div: 3.0ms (19.2% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 22 | 65 |
| 1 | 49 | 63 |
| 2 | 86 | 63 |
| 3 | 146 | 63 |
| 4 | 228 | 63 |
| 5 | 303 | 63 |
| 6 | 322 | 63 |
| 7 | 326 | 63 |
| 8 | 331 | 63 |
| 9 | 336 | 63 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 19 | 11 |
| 2 | 24 | 11 |
| 3 | 25 | 11 |
| 0 | 25 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) #s(literal 1 binary64)) m) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 m (-.f64 #s(literal 1 binary64) m)) | |
| cost-diff | 0 | (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 38 |
| 0 | 13 | 38 |
| 1 | 19 | 38 |
| 2 | 24 | 38 |
| 3 | 25 | 38 |
| 0 | 25 | 38 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) |
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 m (-.f64 #s(literal 1 binary64) m)) |
m |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
v |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) #s(literal 1 binary64)) |
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(*.f64 m (-.f64 #s(literal 1 binary64) m)) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
m |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
v |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) m) | |
| accuracy | 0.015625 | (*.f64 m (-.f64 #s(literal 1 binary64) m)) | |
| accuracy | 0.02734375 | (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) | |
| accuracy | 0.08984375 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 14.0ms | 256× | 0 | valid |
Compiled 40 to 10 computations (75% saved)
ival-sub: 3.0ms (39.4% of total)ival-mult: 3.0ms (39.4% of total)ival-div: 2.0ms (26.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) |
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 m (-.f64 #s(literal 1 binary64) m)) |
(-.f64 #s(literal 1 binary64) m) |
| Outputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
m |
(* m (+ 1 (* -1 m))) |
1 |
(+ 1 (* -1 m)) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 2)) |
(* (pow m 2) (- (/ 1 m) 1)) |
(* m (- (/ 1 m) 1)) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | m | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m)) |
| 1.0ms | m | @ | inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m)) |
| 1.0ms | m | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m)) |
| 1.0ms | v | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m)) |
| 1.0ms | v | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 292 |
| 1 | 173 | 260 |
| 2 | 460 | 260 |
| 3 | 1570 | 259 |
| 4 | 5587 | 259 |
| 0 | 8104 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
m |
(* m (+ 1 (* -1 m))) |
1 |
(+ 1 (* -1 m)) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 2)) |
(* (pow m 2) (- (/ 1 m) 1)) |
(* m (- (/ 1 m) 1)) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
| Outputs |
|---|
(* -1 m) |
(neg.f64 m) |
(* m (- (/ m v) 1)) |
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) m) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) m) |
-1 |
#s(literal -1 binary64) |
(- (/ m v) 1) |
(-.f64 (/.f64 m v) #s(literal 1 binary64)) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
(/ m v) |
(/.f64 m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
m |
(* m (+ 1 (* -1 m))) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 m)) |
(-.f64 #s(literal 1 binary64) m) |
(* -1 (/ (pow m 3) v)) |
(/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) m)) m)) (pow.f64 m #s(literal 3 binary64))) |
(* -1 (/ (pow m 2) v)) |
(*.f64 (/.f64 (neg.f64 m) v) m) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (*.f64 m m) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (fma.f64 (/.f64 m m) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) m)) (/.f64 m v)) (neg.f64 m)) |
(* -1 (pow m 2)) |
(*.f64 (neg.f64 m) m) |
(* (pow m 2) (- (/ 1 m) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) m) |
(* m (- (/ 1 m) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) m)) m)) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) m) (/.f64 #s(literal -1 binary64) v)) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (* m (- 1 (/ 1 m)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) |
(/ (* (pow m 2) (- 1 m)) v) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) m) |
(/ (* m (- 1 m)) v) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) m) |
(- (/ (* m (- 1 m)) v) 1) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 35 |
| 0 | 13 | 35 |
| 1 | 46 | 35 |
| 2 | 302 | 35 |
| 3 | 4046 | 35 |
| 0 | 8566 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) |
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 m (-.f64 #s(literal 1 binary64) m)) |
(-.f64 #s(literal 1 binary64) m) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 m m m) v))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 m m m) v) (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m) (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (fma.f64 m m m) v) (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m) (+.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)))) (fma.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) #s(literal 1 binary64)) m) |
(*.f64 (/.f64 m (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 m (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 m (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) m) #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (/.f64 m #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) m) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) m)) |
(*.f64 m (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)))) |
(*.f64 m (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))) m) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64))) m) (neg.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 m (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64))) |
(/.f64 (*.f64 m (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m)) (neg.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 m m m) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 m m m) (-.f64 (fma.f64 m m m) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 m #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) m) (/.f64 (*.f64 (neg.f64 m) m) (-.f64 #s(literal 1 binary64) m))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 m) m) (-.f64 #s(literal 1 binary64) m))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 m) m) (-.f64 #s(literal 1 binary64) m))) |
(fma.f64 #s(literal 1 binary64) m #s(literal 1 binary64)) |
(fma.f64 m #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) (*.f64 m (/.f64 m (-.f64 #s(literal 1 binary64) m)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 m #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 m)) |
(-.f64 #s(literal 1 binary64) m) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 m) m) (-.f64 #s(literal 1 binary64) m))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 m #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 m)) |
(+.f64 #s(literal 1 binary64) m) |
(+.f64 m #s(literal 1 binary64)) |
Compiled 6 061 to 1 288 computations (78.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 14 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 14 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 39.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m) (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 44.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
| 30.4% | (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m) (+.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)))) (fma.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)))) | |
| 60.4% | (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) m) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 m m m))) v) #s(literal 1 binary64)) m) | |
| 99.8% | (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) m) (*.f64 (fma.f64 #s(literal -1 binary64) m #s(literal -1 binary64)) v)) #s(literal 1 binary64)) m) | |
| 48.3% | (*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 m m m) v) m) (-.f64 #s(literal 1 binary64) (*.f64 m m)))) (sqrt.f64 (*.f64 v (-.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64)) m) | |
| ▶ | 48.3% | (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
| 48.5% | (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) | |
| ▶ | 99.8% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
| 76.6% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) | |
| 51.2% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) | |
| ▶ | 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
| 61.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))) | |
| ▶ | 27.0% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
Compiled 684 to 386 computations (43.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) | |
| cost-diff | 11 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 m m m) v)) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) | |
| cost-diff | 9 | (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) m) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) m) v) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) | |
| cost-diff | 0 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) | |
| cost-diff | 0 | (neg.f64 m) | |
| cost-diff | 0 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) m) v) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 263 |
| 0 | 50 | 225 |
| 1 | 90 | 225 |
| 2 | 201 | 225 |
| 3 | 635 | 225 |
| 4 | 3166 | 225 |
| 0 | 8625 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
m |
v |
#s(literal -1 binary64) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
(neg.f64 m) |
m |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
m |
v |
(*.f64 m m) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) |
(-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
m |
v |
#s(literal -1 binary64) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
(neg.f64 m) |
m |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 m v) m) (-.f64 #s(literal 1 binary64) m))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) |
(*.f64 (*.f64 (/.f64 m v) m) (-.f64 #s(literal 1 binary64) m)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
m |
v |
(*.f64 m m) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(/.f64 (fma.f64 m m m) v) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) |
(-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (/.f64 (fma.f64 m m m) v) | |
| accuracy | 0.21875 | (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) | |
| accuracy | 1.907790078558403 | (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) | |
| accuracy | 23.327030505363663 | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (/.f64 (fma.f64 m m m) v) | |
| accuracy | 0.09765625 | (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) | |
| accuracy | 0.281913769536884 | (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) | |
| accuracy | 14.003002211353008 | (sqrt.f64 (/.f64 (fma.f64 m m m) v)) | |
| accuracy | 0.0 | (*.f64 m m) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) m) v) | |
| accuracy | 8.51775933765998 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) | |
| accuracy | 14.877690220835541 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) | |
| accuracy | 0.0 | (neg.f64 m) | |
| accuracy | 46.70559493214826 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) | |
| accuracy | 0.0 | #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) m) v) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) | |
| accuracy | 0.1171875 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
| 57.0ms | 256× | 0 | valid |
Compiled 252 to 29 computations (88.5% saved)
ival-mult: 11.0ms (33% of total)ival-sub: 7.0ms (21% of total)ival-div: 6.0ms (18% of total)ival-add: 3.0ms (9% of total)ival-sqrt: 2.0ms (6% of total)ival-pow2: 2.0ms (6% of total)ival-neg: 1.0ms (3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
(neg.f64 m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) |
(-.f64 #s(literal 1 binary64) m) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) |
(-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) |
(*.f64 m m) |
(/.f64 (fma.f64 m m m) v) |
| Outputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ 1 v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(/ (pow m 2) v) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
1 |
(+ 1 (* -1 m)) |
(/ m v) |
(* m (+ (/ 1 v) (/ m v))) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(- (* m (+ (/ 1 v) (/ m v))) 1) |
(sqrt (/ m v)) |
(+ (sqrt (/ m v)) (* 1/2 (sqrt (/ (pow m 3) v)))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* -1/8 (sqrt (/ m v))) (* 1/2 (sqrt (/ 1 (* m v))))))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* 1/2 (sqrt (/ 1 (* m v)))) (* (pow m 2) (+ (* -1/8 (sqrt (/ 1 (* (pow m 3) v)))) (* 1/16 (sqrt (/ 1 (* m v))))))))) |
(* m (- (/ (pow m 2) (pow v 2)) 1)) |
(* m (- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1)) |
(* m (- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1)) |
(- (/ (pow m 2) (pow v 2)) 1) |
(- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1) |
(- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1) |
(/ (pow m 2) (pow v 2)) |
(* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) |
(pow m 2) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ m v)) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(* m (- (/ 1 m) 1)) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(/ (pow m 3) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* m (sqrt (/ 1 v))) |
(* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (+ (* 1/16 (* (/ 1 (pow m 3)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))))) |
(/ (pow m 5) (pow v 2)) |
(* (pow m 5) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 5) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(* (pow m 5) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(/ (pow m 4) (pow v 2)) |
(* (pow m 4) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 4) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(* (pow m 4) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (+ (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (sqrt (/ 1 v)))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 v))) (* 1/8 (* (/ 1 m) (sqrt (/ 1 v))))) m))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 v))) (* 1/16 (* (/ 1 m) (sqrt (/ 1 v))))) m)) (* -1/2 (sqrt (/ 1 v)))) m))))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (/ 1 (* m (pow v 2))) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow m 2)) (/ 1 (pow v 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* (pow m 4) (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow v 2)) (/ 1 (pow m 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2)))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(/ (- 1 m) v) |
(/ (+ m (pow m 2)) v) |
(/ (* m (+ m (pow m 2))) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(/ (+ m (+ (* -1 v) (pow m 2))) v) |
(sqrt (/ (+ m (pow m 2)) v)) |
(/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/ (+ (* -1 (* m (pow v 2))) (* m (pow (+ m (pow m 2)) 2))) (pow v 2)) |
(/ (pow (+ m (pow m 2)) 2) (pow v 2)) |
(/ (+ (* -1 (pow v 2)) (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(- (+ (/ m v) (/ (pow m 2) v)) 1) |
(+ (* -1 m) (/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2))) |
(- (/ (pow (+ m (pow m 2)) 2) (pow v 2)) 1) |
(* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(- (* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) 1) |
(* (sqrt (/ (+ m (pow m 2)) v)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | v | @ | inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (neg m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (- 1 m) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (sqrt (/ (+ (* m m) m) v)) (/ (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (- (pow (/ (+ (* m m) m) v) 2) 1) (pow (/ (+ (* m m) m) v) 2) (* m m) (/ (+ (* m m) m) v)) |
| 4.0ms | v | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (neg m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (- 1 m) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (sqrt (/ (+ (* m m) m) v)) (/ (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (- (pow (/ (+ (* m m) m) v) 2) 1) (pow (/ (+ (* m m) m) v) 2) (* m m) (/ (+ (* m m) m) v)) |
| 4.0ms | v | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (neg m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (- 1 m) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (sqrt (/ (+ (* m m) m) v)) (/ (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (- (pow (/ (+ (* m m) m) v) 2) 1) (pow (/ (+ (* m m) m) v) 2) (* m m) (/ (+ (* m m) m) v)) |
| 4.0ms | m | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (neg m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (- 1 m) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (sqrt (/ (+ (* m m) m) v)) (/ (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (- (pow (/ (+ (* m m) m) v) 2) 1) (pow (/ (+ (* m m) m) v) 2) (* m m) (/ (+ (* m m) m) v)) |
| 3.0ms | m | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (neg m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (- 1 m) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (sqrt (/ (+ (* m m) m) v)) (/ (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (pow (/ (+ (* m m) m) v) 2) 1) m) (- (pow (/ (+ (* m m) m) v) 2) 1) (pow (/ (+ (* m m) m) v) 2) (* m m) (/ (+ (* m m) m) v)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 1342 |
| 1 | 758 | 1192 |
| 2 | 2790 | 1149 |
| 0 | 8492 | 1106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ 1 v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(/ (pow m 2) v) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
1 |
(+ 1 (* -1 m)) |
(/ m v) |
(* m (+ (/ 1 v) (/ m v))) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(- (* m (+ (/ 1 v) (/ m v))) 1) |
(sqrt (/ m v)) |
(+ (sqrt (/ m v)) (* 1/2 (sqrt (/ (pow m 3) v)))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* -1/8 (sqrt (/ m v))) (* 1/2 (sqrt (/ 1 (* m v))))))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* 1/2 (sqrt (/ 1 (* m v)))) (* (pow m 2) (+ (* -1/8 (sqrt (/ 1 (* (pow m 3) v)))) (* 1/16 (sqrt (/ 1 (* m v))))))))) |
(* m (- (/ (pow m 2) (pow v 2)) 1)) |
(* m (- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1)) |
(* m (- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1)) |
(- (/ (pow m 2) (pow v 2)) 1) |
(- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1) |
(- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1) |
(/ (pow m 2) (pow v 2)) |
(* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) |
(pow m 2) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ m v)) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(* m (- (/ 1 m) 1)) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(/ (pow m 3) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* m (sqrt (/ 1 v))) |
(* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (+ (* 1/16 (* (/ 1 (pow m 3)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))))) |
(/ (pow m 5) (pow v 2)) |
(* (pow m 5) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 5) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(* (pow m 5) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(/ (pow m 4) (pow v 2)) |
(* (pow m 4) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 4) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(* (pow m 4) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (+ (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (sqrt (/ 1 v)))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 v))) (* 1/8 (* (/ 1 m) (sqrt (/ 1 v))))) m))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 v))) (* 1/16 (* (/ 1 m) (sqrt (/ 1 v))))) m)) (* -1/2 (sqrt (/ 1 v)))) m))))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (/ 1 (* m (pow v 2))) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow m 2)) (/ 1 (pow v 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* (pow m 4) (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow v 2)) (/ 1 (pow m 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2)))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(/ (- 1 m) v) |
(/ (+ m (pow m 2)) v) |
(/ (* m (+ m (pow m 2))) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(/ (+ m (+ (* -1 v) (pow m 2))) v) |
(sqrt (/ (+ m (pow m 2)) v)) |
(/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/ (+ (* -1 (* m (pow v 2))) (* m (pow (+ m (pow m 2)) 2))) (pow v 2)) |
(/ (pow (+ m (pow m 2)) 2) (pow v 2)) |
(/ (+ (* -1 (pow v 2)) (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(- (+ (/ m v) (/ (pow m 2) v)) 1) |
(+ (* -1 m) (/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2))) |
(- (/ (pow (+ m (pow m 2)) 2) (pow v 2)) 1) |
(* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(- (* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) 1) |
(* (sqrt (/ (+ m (pow m 2)) v)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* -1 m) |
(neg.f64 m) |
(* m (- (/ m v) 1)) |
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) m) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)) m) |
-1 |
#s(literal -1 binary64) |
(- (/ m v) 1) |
(-.f64 (/.f64 m v) #s(literal 1 binary64)) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(/ (pow m 2) v) |
(*.f64 (/.f64 m v) m) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 m)) |
(-.f64 #s(literal 1 binary64) m) |
(/ m v) |
(/.f64 m v) |
(* m (+ (/ 1 v) (/ m v))) |
(/.f64 (fma.f64 m m m) v) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (* m (+ (/ 1 v) (/ m v))) 1) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(sqrt (/ m v)) |
(sqrt.f64 (/.f64 m v)) |
(+ (sqrt (/ m v)) (* 1/2 (sqrt (/ (pow m 3) v)))) |
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 m #s(literal 3 binary64)) v)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 m v))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* -1/8 (sqrt (/ m v))) (* 1/2 (sqrt (/ 1 (* m v))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 m v)))) (*.f64 m m) (sqrt.f64 (/.f64 m v))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* 1/2 (sqrt (/ 1 (* m v)))) (* (pow m 2) (+ (* -1/8 (sqrt (/ 1 (* (pow m 3) v)))) (* 1/16 (sqrt (/ 1 (* m v))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 m #s(literal 3 binary64)) v)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m)) (fma.f64 (*.f64 m m) #s(literal 1/16 binary64) #s(literal 1/2 binary64)))) (*.f64 m m) (sqrt.f64 (/.f64 m v))) |
(* m (- (/ (pow m 2) (pow v 2)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 m v) v) m) #s(literal 1 binary64)) m) |
(* m (- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) v) (*.f64 m m)) #s(literal 1 binary64)) m) |
(* m (- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 m m)) (*.f64 v v)) (*.f64 m m)) #s(literal 1 binary64)) m) |
(- (/ (pow m 2) (pow v 2)) 1) |
(-.f64 (*.f64 (/.f64 (/.f64 m v) v) m) #s(literal 1 binary64)) |
(- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1) |
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) v) (*.f64 m m)) #s(literal 1 binary64)) |
(- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1) |
(-.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 m m)) (*.f64 v v)) (*.f64 m m)) #s(literal 1 binary64)) |
(/ (pow m 2) (pow v 2)) |
(*.f64 (/.f64 (/.f64 m v) v) m) |
(* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) v) (*.f64 m m)) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) |
(*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 m m)) (*.f64 v v)) (*.f64 m m)) |
(pow m 2) |
(*.f64 m m) |
(* -1 (/ (pow m 3) v)) |
(/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* -1 (/ (pow m 2) v)) |
(*.f64 (/.f64 (neg.f64 m) v) m) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (/ m v)) |
(/.f64 (neg.f64 m) v) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) m) |
(* m (- (/ 1 m) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(/.f64 (fma.f64 m m (/.f64 (*.f64 m m) m)) v) |
(/ (pow m 3) v) |
(/.f64 (pow.f64 m #s(literal 3 binary64)) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) v) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) (*.f64 m m))) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(*.f64 m (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) m (/.f64 m v))) |
(* m (sqrt (/ 1 v))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) m) |
(* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (fma.f64 m (/.f64 #s(literal 1/2 binary64) m) m)) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) m))) m) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (+ (* 1/16 (* (/ 1 (pow m 3)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 m m)) (/.f64 #s(literal 1/16 binary64) (pow.f64 m #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) m)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) m) |
(/ (pow m 5) (pow v 2)) |
(/.f64 (/.f64 (pow.f64 m #s(literal 5 binary64)) v) v) |
(* (pow m 5) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) v) v) (pow.f64 m #s(literal 5 binary64))) |
(* (pow m 5) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v)) (pow.f64 m #s(literal 5 binary64))) |
(* (pow m 5) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 4 binary64)))) (pow.f64 m #s(literal 5 binary64))) |
(/ (pow m 4) (pow v 2)) |
(/.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) v) v) |
(* (pow m 4) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(*.f64 (pow.f64 m #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) v) v)) |
(* (pow m 4) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(*.f64 (pow.f64 m #s(literal 4 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v))) |
(* (pow m 4) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 4 binary64)))) (pow.f64 m #s(literal 4 binary64))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) v)) (neg.f64 m)) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m)) (neg.f64 m)) |
(* -1 (* m (- 1 (/ 1 m)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) (/.f64 #s(literal 1 binary64) v))) |
(* (pow m 2) (+ (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) v)) m)) (*.f64 m m)) |
(* -1 (* m (sqrt (/ 1 v)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (neg.f64 m)) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal -1/2 binary64) m) #s(literal 1 binary64))) m) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 v))) (* 1/8 (* (/ 1 m) (sqrt (/ 1 v))))) m))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) m))) (neg.f64 m)) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 v))) (* 1/16 (* (/ 1 m) (sqrt (/ 1 v))))) m)) (* -1/2 (sqrt (/ 1 v)))) m))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 m m)) (/.f64 #s(literal 1/16 binary64) (pow.f64 m #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) m)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (neg.f64 m)) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (/ 1 (* m (pow v 2))) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(*.f64 (neg.f64 (pow.f64 m #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) v) (neg.f64 m)) (/.f64 (/.f64 #s(literal 1 binary64) v) v))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow m 2)) (/ 1 (pow v 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(*.f64 (neg.f64 (pow.f64 m #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) m))) (neg.f64 m)) (/.f64 (/.f64 #s(literal 1 binary64) v) v))) |
(* (pow m 4) (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow v 2)) (/ 1 (pow m 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) m) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 v v))) m)) (pow.f64 m #s(literal 4 binary64))) |
(/ (* (pow m 2) (- 1 m)) v) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)) m) |
(/ (* m (- 1 m)) v) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)) |
(/ (- 1 m) v) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(/ (+ m (pow m 2)) v) |
(/.f64 (fma.f64 m m m) v) |
(/ (* m (+ m (pow m 2))) v) |
(/.f64 (*.f64 (fma.f64 m m m) m) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/ (+ m (+ (* -1 v) (pow m 2))) v) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(sqrt (/ (+ m (pow m 2)) v)) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) (/.f64 m v)) |
(/ (+ (* -1 (* m (pow v 2))) (* m (pow (+ m (pow m 2)) 2))) (pow v 2)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) (/.f64 m v) (neg.f64 m)) |
(/ (pow (+ m (pow m 2)) 2) (pow v 2)) |
(/.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) v) |
(/ (+ (* -1 (pow v 2)) (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) v) #s(literal 1 binary64)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)) m) |
(- (/ (* m (- 1 m)) v) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (+ (/ m v) (/ (pow m 2) v)) 1) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(+ (* -1 m) (/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) (/.f64 m v) (neg.f64 m)) |
(- (/ (pow (+ m (pow m 2)) 2) (pow v 2)) 1) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) v) #s(literal 1 binary64)) |
(* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) |
(/.f64 (fma.f64 m m m) v) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) 1) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(* (sqrt (/ (+ m (pow m 2)) v)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 218 |
| 0 | 50 | 180 |
| 1 | 187 | 180 |
| 2 | 1215 | 180 |
| 0 | 8556 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
(neg.f64 m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) |
(-.f64 #s(literal 1 binary64) m) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) |
(-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) |
(*.f64 m m) |
(/.f64 (fma.f64 m m m) v) |
| Outputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
(*.f64 m #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64)))) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
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(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 m) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 m) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (*.f64 (neg.f64 m) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 m) (/.f64 (-.f64 #s(literal 1 binary64) m) v)))))) |
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 4 binary64))) |
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(pow.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (neg.f64 m) (neg.f64 v) (*.f64 (neg.f64 v) (neg.f64 (*.f64 m m)))) (*.f64 v v)) |
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(/.f64 (neg.f64 (fma.f64 m m m)) (neg.f64 v)) |
(/.f64 (fma.f64 m m m) v) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 m m m)) v)) |
(neg.f64 (/.f64 (fma.f64 m m m) (neg.f64 v))) |
(neg.f64 (/.f64 (fma.f64 m m m) v)) |
(fma.f64 (neg.f64 m) (/.f64 (neg.f64 m) v) (/.f64 m v)) |
(fma.f64 m (/.f64 m v) (/.f64 m v)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 m (/.f64 m v)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 m m) m) v)) (/.f64 (pow.f64 (/.f64 m v) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 m m) m) v))) |
(-.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 m m) m) v)) (/.f64 (*.f64 m m) (*.f64 (-.f64 (*.f64 m m) m) v))) |
(-.f64 (/.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) (-.f64 (*.f64 m m) m)) v) (/.f64 (/.f64 (*.f64 m m) (-.f64 (*.f64 m m) m)) v)) |
(-.f64 (*.f64 m (/.f64 m v)) (/.f64 (*.f64 #s(literal -1 binary64) m) v)) |
(-.f64 (/.f64 m v) (/.f64 (*.f64 (neg.f64 (neg.f64 m)) (neg.f64 m)) v)) |
(-.f64 (/.f64 m v) (/.f64 (*.f64 (neg.f64 m) m) v)) |
(-.f64 (/.f64 m v) (/.f64 (*.f64 m (neg.f64 m)) v)) |
(fabs.f64 (/.f64 (neg.f64 (fma.f64 m m m)) v)) |
(fabs.f64 (/.f64 (fma.f64 m m m) (neg.f64 v))) |
(fabs.f64 (/.f64 (fma.f64 m m m) v)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 m m m) v))) |
(+.f64 (/.f64 (pow.f64 (*.f64 m (/.f64 m v)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 m v) #s(literal 2 binary64)) (*.f64 (*.f64 m (/.f64 m v)) (/.f64 m v))))) (/.f64 (pow.f64 (/.f64 m v) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 m v) #s(literal 2 binary64)) (*.f64 (*.f64 m (/.f64 m v)) (/.f64 m v)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 m m) v) (*.f64 v v)) (/.f64 (*.f64 v m) (*.f64 v v))) |
(+.f64 (/.f64 (pow.f64 m #s(literal 3 binary64)) (*.f64 (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))) v)) (/.f64 (pow.f64 m #s(literal 6 binary64)) (*.f64 (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))) v))) |
(+.f64 (/.f64 (pow.f64 m #s(literal 6 binary64)) (*.f64 (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))) v)) (/.f64 (pow.f64 m #s(literal 3 binary64)) (*.f64 (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))) v))) |
(+.f64 (/.f64 (/.f64 (pow.f64 m #s(literal 6 binary64)) (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64)))) v) (/.f64 (/.f64 (pow.f64 m #s(literal 3 binary64)) (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64)))) v)) |
(+.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 m m) m) v)) (/.f64 (*.f64 (neg.f64 (neg.f64 m)) (neg.f64 m)) (*.f64 (-.f64 (*.f64 m m) m) v))) |
(+.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 m m) m) v)) (/.f64 (*.f64 (neg.f64 m) m) (*.f64 (-.f64 (*.f64 m m) m) v))) |
(+.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 m m) m) v)) (/.f64 (*.f64 m (neg.f64 m)) (*.f64 (-.f64 (*.f64 m m) m) v))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (fma.f64 m m m) v))) (sinh.f64 (log.f64 (/.f64 (fma.f64 m m m) v)))) |
(+.f64 (*.f64 m (/.f64 m v)) (/.f64 m v)) |
(+.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) |
Compiled 20 156 to 2 634 computations (86.9% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 13 | 649 |
| Fresh | 6 | 3 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 646 | 17 | 663 |
| Status | Accuracy | Program |
|---|---|---|
| 31.9% | (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) m) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| ▶ | 44.1% | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
| 38.5% | (/.f64 (*.f64 (-.f64 #s(approx (pow (/ (+ (* m m) m) v) 2) (*.f64 (/.f64 (/.f64 m v) v) m)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| 48.4% | (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) | |
| 48.5% | (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) | |
| ▶ | 48.5% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
| ▶ | 76.6% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
| 51.2% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) | |
| 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) | |
| 23.0% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 (/.f64 m v) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) | |
| 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) | |
| 19.2% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) | |
| 51.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) | |
| ✓ | 27.0% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
| ▶ | 25.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
| ▶ | 48.4% | #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
| 19.2% | #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
Compiled 840 to 484 computations (42.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| cost-diff | 4 | (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) | |
| cost-diff | 0 | (fma.f64 m m m) | |
| cost-diff | 0 | (/.f64 (fma.f64 m m m) v) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) | |
| cost-diff | 0 | #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) | |
| cost-diff | 0 | (/.f64 m v) | |
| cost-diff | 0 | (*.f64 (/.f64 m v) m) | |
| cost-diff | 0 | #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) | |
| cost-diff | 0 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) m) m) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) | |
| cost-diff | 0 | #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 331 |
| 0 | 64 | 322 |
| 1 | 115 | 322 |
| 2 | 280 | 322 |
| 3 | 1127 | 322 |
| 4 | 4947 | 306 |
| 0 | 8441 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
m |
v |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) |
(*.f64 (/.f64 m v) m) |
(/.f64 m v) |
m |
v |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
m |
#s(literal -1 binary64) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
(neg.f64 m) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) |
(*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) |
(fma.f64 m m m) |
m |
(/.f64 (fma.f64 m m m) v) |
v |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
m |
v |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) |
(*.f64 (/.f64 m v) m) |
(/.f64 m v) |
m |
v |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
m |
#s(literal -1 binary64) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
(neg.f64 m) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (/.f64 m (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) (-.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 4 binary64)) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 4 binary64)) |
(*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) |
(*.f64 (/.f64 (fma.f64 m m m) v) (fma.f64 m m m)) |
(fma.f64 m m m) |
m |
(/.f64 (fma.f64 m m m) v) |
v |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) | |
| accuracy | 1.907790078558403 | (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) | |
| accuracy | 3.077731373753869 | (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) | |
| accuracy | 23.327030505363663 | (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (neg.f64 m) | |
| accuracy | 0.0 | #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) | |
| accuracy | 0.03515625 | (/.f64 (fma.f64 m m m) v) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) | |
| accuracy | 0.1171875 | (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) | |
| accuracy | 32.62211112629983 | #s(approx (- 1 m) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 m v) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 m v) m) | |
| accuracy | 14.877690220835541 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) | |
| accuracy | 32.90955019559275 | #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) m) m) | |
| accuracy | 0.02734375 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) | |
| accuracy | 15.55621522400012 | #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) |
| 56.0ms | 256× | 0 | valid |
Compiled 277 to 35 computations (87.4% saved)
ival-mult: 16.0ms (39.7% of total)ival-div: 12.0ms (29.8% of total)ival-sub: 5.0ms (12.4% of total)ival-add: 4.0ms (9.9% of total)ival-sqrt: 2.0ms (5% of total)ival-neg: 1.0ms (2.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) |
(*.f64 (/.f64 m v) m) |
(/.f64 m v) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
(/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
(neg.f64 m) |
(*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) |
| Outputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
m |
(* m (+ 1 (* -1 m))) |
(/ (pow m 2) v) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(/ 1 v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(* m (+ (/ 1 v) (/ m v))) |
(* m (+ 1 m)) |
(/ (pow m 2) (pow v 2)) |
(* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) |
(* m (- (/ (pow m 2) (pow v 2)) 1)) |
(* m (- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1)) |
(* m (- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1)) |
(- (/ (pow m 2) (pow v 2)) 1) |
(- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1) |
(- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1) |
1 |
(+ 1 (* -1 m)) |
(* (pow m 2) (+ (* 2 (/ m v)) (/ 1 v))) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 v)) (/ m v))) (/ 1 v))) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 2)) |
(* (pow m 2) (- (/ 1 m) 1)) |
(* -1 (/ m v)) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(/ (pow m 3) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(pow m 2) |
(* (pow m 2) (+ 1 (/ 1 m))) |
(/ (pow m 4) (pow v 2)) |
(* (pow m 4) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 4) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(/ (pow m 5) (pow v 2)) |
(* (pow m 5) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 5) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(* (pow m 5) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(* (pow m 4) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(* m (- (/ 1 m) 1)) |
(/ (pow m 4) v) |
(* (pow m 4) (+ (/ 1 v) (* 2 (/ 1 (* m v))))) |
(* (pow m 4) (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 2 (* m v))))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (/ 1 (* m (pow v 2))) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow m 2)) (/ 1 (pow v 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* (pow m 4) (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow v 2)) (/ 1 (pow m 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2)))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(/ (- 1 m) v) |
(/ (* m (+ m (pow m 2))) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(/ (+ m (pow m 2)) v) |
(/ (pow (+ m (pow m 2)) 2) (pow v 2)) |
(/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/ (+ (* -1 (* m (pow v 2))) (* m (pow (+ m (pow m 2)) 2))) (pow v 2)) |
(/ (+ (* -1 (pow v 2)) (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/ (pow (+ m (pow m 2)) 2) v) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(- (/ (* m (+ m (pow m 2))) v) m) |
(+ (* -1 m) (/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2))) |
(- (/ (pow (+ m (pow m 2)) 2) (pow v 2)) 1) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | v | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (+ (* (/ (+ (* m m) m) v) m) (neg m)) (/ (+ (* m m) m) v) (+ (* m m) m) (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) (/ (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) (- 1 m) (neg m) (* (+ (* m m) m) (/ (+ (* m m) m) v))) |
| 4.0ms | v | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (+ (* (/ (+ (* m m) m) v) m) (neg m)) (/ (+ (* m m) m) v) (+ (* m m) m) (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) (/ (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) (- 1 m) (neg m) (* (+ (* m m) m) (/ (+ (* m m) m) v))) |
| 3.0ms | m | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (+ (* (/ (+ (* m m) m) v) m) (neg m)) (/ (+ (* m m) m) v) (+ (* m m) m) (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) (/ (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) (- 1 m) (neg m) (* (+ (* m m) m) (/ (+ (* m m) m) v))) |
| 3.0ms | v | @ | inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (+ (* (/ (+ (* m m) m) v) m) (neg m)) (/ (+ (* m m) m) v) (+ (* m m) m) (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) (/ (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) (- 1 m) (neg m) (* (+ (* m m) m) (/ (+ (* m m) m) v))) |
| 3.0ms | m | @ | inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (+ (* (/ (- 1 m) v) m) -1) (/ (- 1 m) v) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (+ (* (/ (+ (* m m) m) v) m) (neg m)) (/ (+ (* m m) m) v) (+ (* m m) m) (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) (/ (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (+ (/ (+ (* m m) m) v) 1)) (* (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) m) (- (/ (* (+ (* m m) m) (/ (+ (* m m) m) v)) v) 1) (- 1 m) (neg m) (* (+ (* m m) m) (/ (+ (* m m) m) v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 1090 |
| 1 | 589 | 991 |
| 2 | 1988 | 954 |
| 3 | 7031 | 954 |
| 0 | 8635 | 921 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
m |
(* m (+ 1 (* -1 m))) |
(/ (pow m 2) v) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(/ 1 v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(* m (+ (/ 1 v) (/ m v))) |
(* m (+ 1 m)) |
(/ (pow m 2) (pow v 2)) |
(* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) |
(* m (- (/ (pow m 2) (pow v 2)) 1)) |
(* m (- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1)) |
(* m (- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1)) |
(- (/ (pow m 2) (pow v 2)) 1) |
(- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1) |
(- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1) |
1 |
(+ 1 (* -1 m)) |
(* (pow m 2) (+ (* 2 (/ m v)) (/ 1 v))) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 v)) (/ m v))) (/ 1 v))) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 2)) |
(* (pow m 2) (- (/ 1 m) 1)) |
(* -1 (/ m v)) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(/ (pow m 3) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(pow m 2) |
(* (pow m 2) (+ 1 (/ 1 m))) |
(/ (pow m 4) (pow v 2)) |
(* (pow m 4) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 4) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(/ (pow m 5) (pow v 2)) |
(* (pow m 5) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(* (pow m 5) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(* (pow m 5) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(* (pow m 4) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(* m (- (/ 1 m) 1)) |
(/ (pow m 4) v) |
(* (pow m 4) (+ (/ 1 v) (* 2 (/ 1 (* m v))))) |
(* (pow m 4) (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 2 (* m v))))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (/ 1 (* m (pow v 2))) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow m 2)) (/ 1 (pow v 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(* (pow m 4) (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow v 2)) (/ 1 (pow m 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2)))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(/ (- 1 m) v) |
(/ (* m (+ m (pow m 2))) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(/ (+ m (pow m 2)) v) |
(/ (pow (+ m (pow m 2)) 2) (pow v 2)) |
(/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/ (+ (* -1 (* m (pow v 2))) (* m (pow (+ m (pow m 2)) 2))) (pow v 2)) |
(/ (+ (* -1 (pow v 2)) (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/ (pow (+ m (pow m 2)) 2) v) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(- (/ (* m (+ m (pow m 2))) v) m) |
(+ (* -1 m) (/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2))) |
(- (/ (pow (+ m (pow m 2)) 2) (pow v 2)) 1) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
| Outputs |
|---|
(* -1 m) |
(neg.f64 m) |
(* m (- (/ m v) 1)) |
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) m) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
(*.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) m) |
-1 |
#s(literal -1 binary64) |
(- (/ m v) 1) |
(-.f64 (/.f64 m v) #s(literal 1 binary64)) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) |
(/ m v) |
(/.f64 m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
m |
(* m (+ 1 (* -1 m))) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
(/ (pow m 2) v) |
(*.f64 (/.f64 m v) m) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(* m (+ (/ 1 v) (/ m v))) |
(/.f64 (fma.f64 m m m) v) |
(* m (+ 1 m)) |
(fma.f64 m m m) |
(/ (pow m 2) (pow v 2)) |
(*.f64 (/.f64 (/.f64 m v) v) m) |
(* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 v v)) (*.f64 m m)) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) |
(*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 m m)) (*.f64 v v)) (*.f64 m m)) |
(* m (- (/ (pow m 2) (pow v 2)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 m v) v) m) #s(literal 1 binary64)) m) |
(* m (- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 v v)) (*.f64 m m)) #s(literal 1 binary64)) m) |
(* m (- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 m m)) (*.f64 v v)) (*.f64 m m)) #s(literal 1 binary64)) m) |
(- (/ (pow m 2) (pow v 2)) 1) |
(-.f64 (*.f64 (/.f64 (/.f64 m v) v) m) #s(literal 1 binary64)) |
(- (* (pow m 2) (+ (* 2 (/ m (pow v 2))) (/ 1 (pow v 2)))) 1) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 v v)) (*.f64 m m)) #s(literal 1 binary64)) |
(- (* (pow m 2) (+ (* m (+ (* 2 (/ 1 (pow v 2))) (/ m (pow v 2)))) (/ 1 (pow v 2)))) 1) |
(-.f64 (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) (*.f64 m m)) (*.f64 v v)) (*.f64 m m)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 m)) |
(-.f64 #s(literal 1 binary64) m) |
(* (pow m 2) (+ (* 2 (/ m v)) (/ 1 v))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) m) m) |
(* (pow m 2) (+ (* m (+ (* 2 (/ 1 v)) (/ m v))) (/ 1 v))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) m) v) m (/.f64 #s(literal 1 binary64) v)) m) m) |
(* -1 (/ (pow m 3) v)) |
(/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* -1 (/ (pow m 2) v)) |
(*.f64 (/.f64 (neg.f64 m) v) m) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (pow m 2)) |
(*.f64 (neg.f64 m) m) |
(* (pow m 2) (- (/ 1 m) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) m) |
(* -1 (/ m v)) |
(/.f64 (neg.f64 m) v) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) m) |
(/ (pow m 3) v) |
(/.f64 (pow.f64 m #s(literal 3 binary64)) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(/.f64 (*.f64 (fma.f64 m m m) m) v) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) (*.f64 m m))) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(/.f64 (fma.f64 m m m) v) |
(pow m 2) |
(*.f64 m m) |
(* (pow m 2) (+ 1 (/ 1 m))) |
(fma.f64 m m m) |
(/ (pow m 4) (pow v 2)) |
(/.f64 (/.f64 (pow.f64 m #s(literal 4 binary64)) v) v) |
(* (pow m 4) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) (*.f64 v v)) (pow.f64 m #s(literal 4 binary64))) |
(* (pow m 4) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v)) (pow.f64 m #s(literal 4 binary64))) |
(/ (pow m 5) (pow v 2)) |
(/.f64 (/.f64 (pow.f64 m #s(literal 5 binary64)) v) v) |
(* (pow m 5) (+ (* 2 (/ 1 (* m (pow v 2)))) (/ 1 (pow v 2)))) |
(*.f64 (pow.f64 m #s(literal 5 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) (*.f64 v v))) |
(* (pow m 5) (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2)))))) |
(*.f64 (pow.f64 m #s(literal 5 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v))) |
(* (pow m 5) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 4 binary64)))) (pow.f64 m #s(literal 5 binary64))) |
(* (pow m 4) (- (+ (/ 1 (* (pow m 2) (pow v 2))) (+ (/ 1 (pow v 2)) (/ 2 (* m (pow v 2))))) (/ 1 (pow m 4)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 m m)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) m)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 4 binary64)))) (pow.f64 m #s(literal 4 binary64))) |
(* m (- (/ 1 m) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) |
(/ (pow m 4) v) |
(/.f64 (pow.f64 m #s(literal 4 binary64)) v) |
(* (pow m 4) (+ (/ 1 v) (* 2 (/ 1 (* m v))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) v) (pow.f64 m #s(literal 4 binary64))) |
(* (pow m 4) (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 2 (* m v))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) #s(literal 1 binary64)) v) (pow.f64 m #s(literal 4 binary64))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) v)) (neg.f64 m)) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m)) (neg.f64 m)) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) (/.f64 #s(literal 1 binary64) v))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (/ 1 (* m (pow v 2))) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(*.f64 (neg.f64 (pow.f64 m #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 m) v) v)) (/.f64 (/.f64 #s(literal 1 binary64) v) v))) |
(* -1 (* (pow m 5) (- (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow m 2)) (/ 1 (pow v 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2))))) |
(*.f64 (neg.f64 (pow.f64 m #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) v))) (neg.f64 m)) (/.f64 (/.f64 #s(literal 1 binary64) v) v))) |
(* (pow m 4) (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow v 2)) (/ 1 (pow m 2))) m)) (* 2 (/ 1 (pow v 2)))) m)) (/ 1 (pow v 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) v) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 v v))) m)) (pow.f64 m #s(literal 4 binary64))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) |
(/ (* (pow m 2) (- 1 m)) v) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(*.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) m) |
(/ (* m (- 1 m)) v) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) |
(/ (- 1 m) v) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(/ (* m (+ m (pow m 2))) v) |
(/.f64 (*.f64 (fma.f64 m m m) m) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/ (+ m (pow m 2)) v) |
(/.f64 (fma.f64 m m m) v) |
(/ (pow (+ m (pow m 2)) 2) (pow v 2)) |
(/.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) v) |
(/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) (/.f64 m v)) |
(/ (+ (* -1 (* m (pow v 2))) (* m (pow (+ m (pow m 2)) 2))) (pow v 2)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) (/.f64 m v) (neg.f64 m)) |
(/ (+ (* -1 (pow v 2)) (pow (+ m (pow m 2)) 2)) (pow v 2)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) v) v) |
(/ (pow (+ m (pow m 2)) 2) v) |
(/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(*.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) m) |
(- (/ (* m (- 1 m)) v) 1) |
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (/ (* m (+ m (pow m 2))) v) m) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(+ (* -1 m) (/ (* m (pow (+ m (pow m 2)) 2)) (pow v 2))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) (/.f64 m v) (neg.f64 m)) |
(- (/ (pow (+ m (pow m 2)) 2) (pow v 2)) 1) |
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) v) v) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 296 |
| 0 | 64 | 287 |
| 1 | 222 | 253 |
| 2 | 1672 | 253 |
| 0 | 8592 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) |
(*.f64 (/.f64 m v) m) |
(/.f64 m v) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
(/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) |
(-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
(neg.f64 m) |
(*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) |
| Outputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))) m) |
(*.f64 m #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m)))) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))) |
(*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m) |
(*.f64 (*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) m) (*.f64 (/.f64 m v) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 m v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))) |
(*.f64 m (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) #s(literal 1 binary64))) |
(*.f64 m (/.f64 (-.f64 #s(literal 1 binary64) m) v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (/.f64 m v)) (+.f64 #s(literal 1 binary64) m)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) (/.f64 m v)) (+.f64 (fma.f64 m m m) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 m) (-.f64 #s(literal 1 binary64) m)) #s(literal 1 binary64)) (neg.f64 v)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) #s(literal 1 binary64)) v) |
(/.f64 (neg.f64 (*.f64 (neg.f64 m) (-.f64 #s(literal 1 binary64) m))) (neg.f64 (neg.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (neg.f64 m)) (*.f64 (+.f64 #s(literal 1 binary64) m) (neg.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) m) (*.f64 (+.f64 #s(literal 1 binary64) m) v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) (neg.f64 m)) (*.f64 (+.f64 (fma.f64 m m m) #s(literal 1 binary64)) (neg.f64 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) m) (*.f64 (+.f64 (fma.f64 m m m) #s(literal 1 binary64)) v)) |
(/.f64 (*.f64 (neg.f64 m) (-.f64 #s(literal 1 binary64) m)) (neg.f64 v)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(neg.f64 (/.f64 (*.f64 (neg.f64 m) (-.f64 #s(literal 1 binary64) m)) v)) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) (neg.f64 v))) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
(*.f64 m (-.f64 #s(literal 1 binary64) m)) |
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (*.f64 m m))) (+.f64 #s(literal 1 binary64) m)) |
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) (+.f64 (fma.f64 m m m) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) m) (+.f64 #s(literal 1 binary64) m)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) m) (+.f64 (fma.f64 m m m) #s(literal 1 binary64))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)) |
(*.f64 (neg.f64 m) (/.f64 (neg.f64 m) v)) |
(*.f64 (/.f64 m v) m) |
(*.f64 m (/.f64 m v)) |
(/.f64 (*.f64 (neg.f64 m) m) (neg.f64 v)) |
(/.f64 (*.f64 m (neg.f64 m)) (neg.f64 v)) |
(/.f64 (neg.f64 (*.f64 m m)) (neg.f64 v)) |
(/.f64 (*.f64 m m) v) |
(/.f64 (neg.f64 (neg.f64 m)) (neg.f64 (neg.f64 v))) |
(/.f64 (neg.f64 m) (neg.f64 v)) |
(/.f64 m v) |
(neg.f64 (/.f64 (neg.f64 m) v)) |
(neg.f64 (/.f64 m (neg.f64 v))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
(*.f64 m #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)))) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64)) |
(fma.f64 #s(approx (- 1 m) #s(literal 1 binary64)) (/.f64 m v) #s(literal -1 binary64)) |
(fma.f64 m (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) #s(literal -1 binary64)) |
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(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v)) m)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 m) (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v))) |
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(+.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 m) #s(literal 1 binary64)))) (neg.f64 (neg.f64 v))) |
(/.f64 (neg.f64 #s(approx (- 1 m) #s(literal 1 binary64))) (neg.f64 v)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 m) #s(literal 1 binary64))) v)) |
(neg.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) (neg.f64 v))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
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(fma.f64 (fabs.f64 (*.f64 m (sqrt.f64 (/.f64 (fma.f64 m m m) v)))) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (neg.f64 m)) |
(fma.f64 (*.f64 m (sqrt.f64 (/.f64 (fma.f64 m m m) v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (neg.f64 m)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(fma.f64 (fma.f64 m m m) (fabs.f64 (/.f64 m v)) (neg.f64 m)) |
(fma.f64 (fma.f64 m m m) (/.f64 m v) (neg.f64 m)) |
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(fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) m) (neg.f64 m)) |
(fma.f64 m (/.f64 (fma.f64 m m m) v) (neg.f64 m)) |
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(+.f64 (*.f64 (/.f64 (fma.f64 m m m) v) m) (neg.f64 m)) |
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(*.f64 (+.f64 #s(literal 1 binary64) m) (/.f64 m v)) |
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(pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (*.f64 (neg.f64 m) m) v (*.f64 (neg.f64 v) m)) (*.f64 (neg.f64 v) v)) |
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(/.f64 (fma.f64 (*.f64 m (neg.f64 m)) (neg.f64 v) (*.f64 (neg.f64 v) (neg.f64 m))) (*.f64 v v)) |
(/.f64 (fma.f64 (*.f64 m (neg.f64 m)) v (*.f64 (neg.f64 v) m)) (*.f64 (neg.f64 v) v)) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 m m)) (neg.f64 v) (*.f64 (neg.f64 v) (neg.f64 m))) (*.f64 v v)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 m m)) v (*.f64 (neg.f64 v) m)) (*.f64 (neg.f64 v) v)) |
(/.f64 (fma.f64 (*.f64 m m) (neg.f64 (neg.f64 v)) (*.f64 v (neg.f64 (neg.f64 m)))) (*.f64 v (neg.f64 (neg.f64 v)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) m) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 m m m) v)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 m)) (fma.f64 (+.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 m m m) v))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 m)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 m m m) v)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (fma.f64 (+.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) |
(*.f64 m (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 m (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(/.f64 (*.f64 m (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) m) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) m) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 m m m) v)) (fma.f64 (+.f64 #s(literal 1 binary64) m) (/.f64 m v) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 (log.f64 (/.f64 (fma.f64 m m m) v)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 4 binary64))) |
(expm1.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
(neg.f64 m) |
(*.f64 (*.f64 (/.f64 (fma.f64 m m m) v) (+.f64 #s(literal 1 binary64) m)) m) |
(*.f64 (*.f64 (fma.f64 m m m) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(*.f64 (+.f64 #s(literal 1 binary64) m) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(*.f64 (neg.f64 (fma.f64 m m m)) (/.f64 (fma.f64 m m m) v)) |
(*.f64 (/.f64 (fma.f64 m m m) v) (neg.f64 (fma.f64 m m m))) |
(*.f64 (/.f64 (fma.f64 m m m) v) (fma.f64 m m m)) |
(*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (fma.f64 m m m))) |
(/.f64 (*.f64 (/.f64 (fma.f64 m m m) v) (-.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 m m))) (-.f64 (*.f64 m m) m)) |
(/.f64 (*.f64 (/.f64 (fma.f64 m m m) v) (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 m #s(literal 6 binary64)))) (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64))) (neg.f64 v)) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64))) v) |
(/.f64 (*.f64 (-.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 m m)) (/.f64 (fma.f64 m m m) v)) (-.f64 (*.f64 m m) m)) |
(/.f64 (*.f64 (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 m #s(literal 6 binary64))) (/.f64 (fma.f64 m m m) v)) (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 m m m)) (fma.f64 m m m)) (neg.f64 v)) |
(/.f64 (*.f64 (fma.f64 m m m) (neg.f64 (fma.f64 m m m))) (neg.f64 v)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 m m m)) (-.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 m m))) (*.f64 (neg.f64 v) (-.f64 (*.f64 m m) m))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 m m m)) (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 m #s(literal 6 binary64)))) (*.f64 (neg.f64 v) (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 m m m) (-.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 m m))) (*.f64 v (-.f64 (*.f64 m m) m))) |
(/.f64 (*.f64 (fma.f64 m m m) (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 m #s(literal 6 binary64)))) (*.f64 v (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 m m)) (neg.f64 (fma.f64 m m m))) (*.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))) |
(/.f64 (*.f64 (-.f64 (pow.f64 m #s(literal 4 binary64)) (*.f64 m m)) (fma.f64 m m m)) (*.f64 (-.f64 (*.f64 m m) m) v)) |
(/.f64 (*.f64 (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 m #s(literal 6 binary64))) (neg.f64 (fma.f64 m m m))) (*.f64 (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))) (neg.f64 v))) |
(/.f64 (*.f64 (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 m #s(literal 6 binary64))) (fma.f64 m m m)) (*.f64 (fma.f64 m (-.f64 m (*.f64 m m)) (pow.f64 m #s(literal 4 binary64))) v)) |
(/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) (neg.f64 v)) |
(/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v) |
(neg.f64 (/.f64 (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)) v)) |
(fma.f64 (fabs.f64 (*.f64 m (sqrt.f64 (/.f64 (fma.f64 m m m) v)))) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (fabs.f64 (*.f64 m (sqrt.f64 (/.f64 (fma.f64 m m m) v)))) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (*.f64 m (sqrt.f64 (/.f64 (fma.f64 m m m) v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (*.f64 m (sqrt.f64 (/.f64 (fma.f64 m m m) v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (fma.f64 m m m) (fabs.f64 (/.f64 m v)) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (fma.f64 m m m) (fabs.f64 (/.f64 m v)) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (fma.f64 m m m) (*.f64 (/.f64 m v) m) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(fma.f64 (fma.f64 m m m) (/.f64 m v) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (fma.f64 m m m) (/.f64 m v) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) m)) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) m)) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) m) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) m) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(fma.f64 (*.f64 (/.f64 m v) m) (fma.f64 m m m) (*.f64 (/.f64 m v) (fma.f64 m m m))) |
(fma.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(fma.f64 m (/.f64 (fma.f64 m m m) v) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(fma.f64 m (/.f64 (fma.f64 m m m) v) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
(+.f64 (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v)) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(+.f64 (*.f64 (*.f64 (/.f64 m v) m) (fma.f64 m m m)) (*.f64 (/.f64 m v) (fma.f64 m m m))) |
(+.f64 (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m)) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(+.f64 (*.f64 (fma.f64 m m m) (*.f64 (/.f64 m v) m)) (*.f64 (/.f64 (fma.f64 m m m) v) m)) |
(+.f64 (*.f64 (/.f64 (fma.f64 m m m) v) m) (*.f64 (*.f64 m m) (/.f64 (fma.f64 m m m) v))) |
(+.f64 (*.f64 (/.f64 (fma.f64 m m m) v) m) (*.f64 (/.f64 (fma.f64 m m m) v) (*.f64 m m))) |
Compiled 28 379 to 3 352 computations (88.2% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 816 | 3 | 819 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 819 | 17 | 836 |
| Status | Accuracy | Program |
|---|---|---|
| 31.9% | (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) m) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| 44.1% | (/.f64 (*.f64 (-.f64 (/.f64 #s(approx (* (+ (* m m) m) (/ (+ (* m m) m) v)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) m) m)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| 38.5% | (/.f64 (*.f64 (-.f64 #s(approx (pow (/ (+ (* m m) m) v) 2) (*.f64 (/.f64 (/.f64 m v) v) m)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| ▶ | 48.4% | (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
| 48.5% | (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) | |
| ✓ | 48.5% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
| ✓ | 76.6% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
| ▶ | 51.3% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
| ▶ | 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
| 23.0% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 (/.f64 m v) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) | |
| 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) | |
| ▶ | 19.2% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
| 51.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) | |
| ✓ | 27.0% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
| ▶ | 19.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
| ✓ | 25.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
| ✓ | 48.4% | #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
Compiled 772 to 451 computations (41.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 m m m) v)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) | |
| cost-diff | 0 | #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v) | |
| cost-diff | 0 | #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) | |
| cost-diff | 0 | #s(approx (- 1 m) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m)) | |
| cost-diff | 0 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) | |
| cost-diff | 0 | (*.f64 m m) | |
| cost-diff | 0 | (/.f64 (*.f64 m m) v) | |
| cost-diff | 0 | #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v)) | |
| cost-diff | 0 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) | |
| cost-diff | 0 | (*.f64 m m) | |
| cost-diff | 0 | (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v) | |
| cost-diff | 0 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 331 |
| 0 | 62 | 331 |
| 1 | 94 | 331 |
| 2 | 162 | 331 |
| 3 | 303 | 331 |
| 4 | 546 | 331 |
| 5 | 942 | 331 |
| 6 | 1390 | 331 |
| 7 | 2035 | 331 |
| 8 | 2825 | 331 |
| 9 | 3562 | 331 |
| 10 | 4043 | 331 |
| 11 | 4329 | 331 |
| 12 | 4517 | 331 |
| 13 | 4881 | 331 |
| 14 | 4950 | 331 |
| 15 | 5166 | 331 |
| 16 | 5643 | 331 |
| 17 | 6431 | 331 |
| 18 | 6433 | 331 |
| 19 | 6433 | 331 |
| 20 | 6433 | 331 |
| 21 | 6681 | 331 |
| 0 | 6681 | 326 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) |
(*.f64 m m) |
m |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
v |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 m m) v) |
(*.f64 m m) |
m |
v |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
(*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
(*.f64 m m) |
m |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) |
(/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v) |
#s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) |
(*.f64 (neg.f64 m) m) |
(neg.f64 m) |
m |
v |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
#s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) |
(sqrt.f64 (/.f64 m v)) |
(/.f64 m v) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m)) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
(*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) m) |
(*.f64 m m) |
m |
(-.f64 #s(literal 1 binary64) m) |
#s(literal 1 binary64) |
v |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 m m) v) |
(*.f64 m m) |
m |
v |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 #s(approx (- 1 m) #s(literal 1 binary64)) m) (/.f64 m v))) |
(*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m)) |
(*.f64 (*.f64 #s(approx (- 1 m) #s(literal 1 binary64)) m) (/.f64 m v)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
v |
(*.f64 m m) |
m |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) |
(/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v) |
#s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) |
(*.f64 (neg.f64 m) m) |
(neg.f64 m) |
m |
v |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) |
(*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(/.f64 (fma.f64 m m m) v) |
(fma.f64 m m m) |
m |
v |
#s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) |
(sqrt.f64 (/.f64 m v)) |
(/.f64 m v) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.281913769536884 | (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) | |
| accuracy | 14.003002211353008 | (sqrt.f64 (/.f64 (fma.f64 m m m) v)) | |
| accuracy | 16.31604000139612 | (sqrt.f64 (/.f64 m v)) | |
| accuracy | 30.623940739717586 | #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) | |
| accuracy | 0.02734375 | (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) | |
| accuracy | 15.55621522400012 | #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) | |
| accuracy | 31.07839053339847 | #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) | |
| accuracy | 8.51775933765998 | (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m)) | |
| accuracy | 14.877690220835541 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) | |
| accuracy | 32.62211112629983 | #s(approx (- 1 m) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 m m) | |
| accuracy | 8.509946837980925 | (/.f64 (*.f64 m m) v) | |
| accuracy | 14.877690220835541 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) | |
| accuracy | 32.90955019559275 | #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v)) | |
| accuracy | 0.0 | (*.f64 m m) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) | |
| accuracy | 8.498228087980925 | (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v) | |
| accuracy | 14.877690220835541 | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
| 82.0ms | 256× | 0 | valid |
Compiled 237 to 28 computations (88.2% saved)
ival-div: 36.0ms (53.9% of total)ival-mult: 21.0ms (31.5% of total)ival-sub: 4.0ms (6% of total)ival-sqrt: 3.0ms (4.5% of total)ival-add: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) |
(*.f64 m m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 m m) v) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
(*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) |
(/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v) |
#s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
#s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) |
(sqrt.f64 (/.f64 m v)) |
| Outputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
(/ (pow m 2) v) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(pow m 2) |
(* (pow m 2) (+ 1 (* -1 m))) |
(/ 1 v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
1 |
(+ 1 (* -1 m)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
m |
(* m (+ 1 (* -1 m))) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(- (* m (+ (/ 1 v) (/ m v))) 1) |
(* m (+ (/ 1 v) (/ m v))) |
(sqrt (/ m v)) |
(+ (sqrt (/ m v)) (* 1/2 (sqrt (/ (pow m 3) v)))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* -1/8 (sqrt (/ m v))) (* 1/2 (sqrt (/ 1 (* m v))))))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* 1/2 (sqrt (/ 1 (* m v)))) (* (pow m 2) (+ (* -1/8 (sqrt (/ 1 (* (pow m 3) v)))) (* 1/16 (sqrt (/ 1 (* m v))))))))) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 3)) |
(* (pow m 3) (- (/ 1 m) 1)) |
(* -1 (/ m v)) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(* m (- (/ 1 m) 1)) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 2)) |
(* (pow m 2) (- (/ 1 m) 1)) |
(/ (pow m 3) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* m (sqrt (/ 1 v))) |
(* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (+ (* 1/16 (* (/ 1 (pow m 3)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* -1 (* (pow m 3) (- 1 (/ 1 m)))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (+ (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (sqrt (/ 1 v)))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 v))) (* 1/8 (* (/ 1 m) (sqrt (/ 1 v))))) m))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 v))) (* 1/16 (* (/ 1 m) (sqrt (/ 1 v))))) m)) (* -1/2 (sqrt (/ 1 v)))) m))))) |
(* -1 (* (sqrt (/ m v)) (pow (sqrt -1) 2))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (- 1 m) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(/ (* m (+ m (pow m 2))) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(/ (+ m (pow m 2)) v) |
(/ (+ m (+ (* -1 v) (pow m 2))) v) |
(sqrt (/ (+ m (pow m 2)) v)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(- (+ (/ m v) (/ (pow m 2) v)) 1) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(- (* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) 1) |
(* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) |
(* (sqrt (/ (+ m (pow m 2)) v)) (pow (sqrt -1) 2)) |
(* (sqrt (/ m v)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | v | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (/ (* (* m m) (- 1 m)) v) (* (* m m) (- 1 m)) (* m m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (* m m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (- 1 m) v) (- 1 m) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ m v))) |
| 3.0ms | m | @ | -inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (/ (* (* m m) (- 1 m)) v) (* (* m m) (- 1 m)) (* m m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (* m m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (- 1 m) v) (- 1 m) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ m v))) |
| 2.0ms | m | @ | inf | ((* (- (/ (* m (- 1 m)) v) 1) m) (/ (* (* m m) (- 1 m)) v) (* (* m m) (- 1 m)) (* m m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (* m m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (- 1 m) v) (- 1 m) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ m v))) |
| 2.0ms | v | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (/ (* (* m m) (- 1 m)) v) (* (* m m) (- 1 m)) (* m m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (* m m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (- 1 m) v) (- 1 m) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ m v))) |
| 2.0ms | m | @ | 0 | ((* (- (/ (* m (- 1 m)) v) 1) m) (/ (* (* m m) (- 1 m)) v) (* (* m m) (- 1 m)) (* m m) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (* m m) v) (* (- (/ (* m (- 1 m)) v) 1) m) (* (/ (- 1 m) v) (* m m)) (/ (- 1 m) v) (- 1 m) (* (- (/ (* m (- 1 m)) v) 1) m) (- (/ (* m (- 1 m)) v) 1) (/ (* (- 1 m) m) v) (* (- 1 m) m) (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v)) (sqrt (/ m v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 890 |
| 1 | 564 | 804 |
| 2 | 2028 | 789 |
| 3 | 6489 | 781 |
| 0 | 8062 | 750 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 m) |
(* m (- (/ m v) 1)) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
(/ (pow m 2) v) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(pow m 2) |
(* (pow m 2) (+ 1 (* -1 m))) |
(/ 1 v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
1 |
(+ 1 (* -1 m)) |
-1 |
(- (/ m v) 1) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(/ m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
m |
(* m (+ 1 (* -1 m))) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(- (* m (+ (/ 1 v) (/ m v))) 1) |
(* m (+ (/ 1 v) (/ m v))) |
(sqrt (/ m v)) |
(+ (sqrt (/ m v)) (* 1/2 (sqrt (/ (pow m 3) v)))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* -1/8 (sqrt (/ m v))) (* 1/2 (sqrt (/ 1 (* m v))))))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* 1/2 (sqrt (/ 1 (* m v)))) (* (pow m 2) (+ (* -1/8 (sqrt (/ 1 (* (pow m 3) v)))) (* 1/16 (sqrt (/ 1 (* m v))))))))) |
(* -1 (/ (pow m 3) v)) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 3)) |
(* (pow m 3) (- (/ 1 m) 1)) |
(* -1 (/ m v)) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(* m (- (/ 1 m) 1)) |
(* -1 (/ (pow m 2) v)) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(* -1 (pow m 2)) |
(* (pow m 2) (- (/ 1 m) 1)) |
(/ (pow m 3) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(* m (sqrt (/ 1 v))) |
(* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (+ (* 1/16 (* (/ 1 (pow m 3)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))))) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* -1 (* (pow m 3) (- 1 (/ 1 m)))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(* -1 (* m (- 1 (/ 1 m)))) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(* (pow m 2) (+ (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(* -1 (* m (sqrt (/ 1 v)))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 v))) (* 1/8 (* (/ 1 m) (sqrt (/ 1 v))))) m))))) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 v))) (* 1/16 (* (/ 1 m) (sqrt (/ 1 v))))) m)) (* -1/2 (sqrt (/ 1 v)))) m))))) |
(* -1 (* (sqrt (/ m v)) (pow (sqrt -1) 2))) |
(/ (* (pow m 2) (- 1 m)) v) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(/ (- 1 m) v) |
(/ (* m (- 1 m)) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(/ (* m (+ m (pow m 2))) v) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(/ (+ m (pow m 2)) v) |
(/ (+ m (+ (* -1 v) (pow m 2))) v) |
(sqrt (/ (+ m (pow m 2)) v)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(- (/ (* m (- 1 m)) v) 1) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(- (+ (/ m v) (/ (pow m 2) v)) 1) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(- (* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) 1) |
(* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) |
(* (sqrt (/ (+ m (pow m 2)) v)) (pow (sqrt -1) 2)) |
(* (sqrt (/ m v)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(* -1 m) |
(neg.f64 m) |
(* m (- (/ m v) 1)) |
(*.f64 (-.f64 (/.f64 m v) #s(literal 1 binary64)) m) |
(* m (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)) |
(*.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) m) |
(/ (pow m 2) v) |
(*.f64 (/.f64 m v) m) |
(* (pow m 2) (+ (* -1 (/ m v)) (/ 1 v))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
(pow m 2) |
(*.f64 m m) |
(* (pow m 2) (+ 1 (* -1 m))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) m) |
(/ 1 v) |
(/.f64 #s(literal 1 binary64) v) |
(+ (* -1 (/ m v)) (/ 1 v)) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 m)) |
(-.f64 #s(literal 1 binary64) m) |
-1 |
#s(literal -1 binary64) |
(- (/ m v) 1) |
(-.f64 (/.f64 m v) #s(literal 1 binary64)) |
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) |
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) |
(/ m v) |
(/.f64 m v) |
(* m (+ (* -1 (/ m v)) (/ 1 v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
m |
(* m (+ 1 (* -1 m))) |
(*.f64 (-.f64 #s(literal 1 binary64) m) m) |
(* m (- (* m (+ (/ 1 v) (/ m v))) 1)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (* m (+ (/ 1 v) (/ m v))) 1) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(* m (+ (/ 1 v) (/ m v))) |
(/.f64 (fma.f64 m m m) v) |
(sqrt (/ m v)) |
(sqrt.f64 (/.f64 m v)) |
(+ (sqrt (/ m v)) (* 1/2 (sqrt (/ (pow m 3) v)))) |
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 m #s(literal 3 binary64)) v)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 m v))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* -1/8 (sqrt (/ m v))) (* 1/2 (sqrt (/ 1 (* m v))))))) |
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 m v)))) (*.f64 m m) (sqrt.f64 (/.f64 m v))) |
(+ (sqrt (/ m v)) (* (pow m 2) (+ (* 1/2 (sqrt (/ 1 (* m v)))) (* (pow m 2) (+ (* -1/8 (sqrt (/ 1 (* (pow m 3) v)))) (* 1/16 (sqrt (/ 1 (* m v))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 m m)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 m #s(literal 3 binary64)) v))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m)) (fma.f64 #s(literal 1/16 binary64) (*.f64 m m) #s(literal 1/2 binary64)))) (*.f64 m m) (sqrt.f64 (/.f64 m v))) |
(* -1 (/ (pow m 3) v)) |
(/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) |
(* (pow m 3) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 3) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64))) |
(* -1 (pow m 3)) |
(pow.f64 (neg.f64 m) #s(literal 3 binary64)) |
(* (pow m 3) (- (/ 1 m) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) (pow.f64 m #s(literal 3 binary64))) |
(* -1 (/ m v)) |
(/.f64 (neg.f64 m) v) |
(* m (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) m) |
(* m (- (/ 1 m) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) |
(* -1 (/ (pow m 2) v)) |
(*.f64 (/.f64 (neg.f64 m) v) m) |
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (pow m 2)) |
(*.f64 (neg.f64 m) m) |
(* (pow m 2) (- (/ 1 m) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) m) m) |
(/ (pow m 3) v) |
(/.f64 (pow.f64 m #s(literal 3 binary64)) v) |
(* (pow m 3) (+ (/ 1 v) (/ 1 (* m v)))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) v) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 3) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) m) #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) (*.f64 m m))) (pow.f64 m #s(literal 3 binary64))) |
(* (pow m 2) (+ (/ 1 v) (/ 1 (* m v)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) m) m m) v) m) |
(* (pow m 2) (- (+ (/ 1 v) (/ 1 (* m v))) (/ 1 (pow m 2)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m) m (/.f64 m v)) m) |
(* m (sqrt (/ 1 v))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) m) |
(* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (fma.f64 (/.f64 #s(literal 1/2 binary64) m) m m)) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) m)) m) #s(literal 1 binary64))) m) |
(* m (+ (sqrt (/ 1 v)) (+ (* -1/8 (* (/ 1 (pow m 2)) (sqrt (/ 1 v)))) (+ (* 1/16 (* (/ 1 (pow m 3)) (sqrt (/ 1 v)))) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) m) #s(literal -1/8 binary64)) (*.f64 m m)) (/.f64 #s(literal -1/2 binary64) m)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) m) |
(* -1 (* (pow m 3) (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m)) (pow.f64 (neg.f64 m) #s(literal 3 binary64))) |
(* -1 (* (pow m 3) (+ (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) m)) (pow.f64 (neg.f64 m) #s(literal 3 binary64))) |
(* -1 (* (pow m 3) (- 1 (/ 1 m)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) m)) (pow.f64 (neg.f64 m) #s(literal 3 binary64))) |
(* -1 (* m (- (/ 1 v) (/ 1 (* m v))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) m)) (neg.f64 m)) |
(* -1 (* m (- 1 (/ 1 m)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) |
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) v)) (neg.f64 m)) (/.f64 #s(literal 1 binary64) v)) (*.f64 m m)) |
(* -1 (* (pow m 3) (- (* -1 (/ (- (/ 1 v) (/ 1 m)) m)) (/ 1 v)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) m)) (neg.f64 m)) (/.f64 #s(literal 1 binary64) v)) (pow.f64 (neg.f64 m) #s(literal 3 binary64))) |
(* (pow m 2) (+ (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) m) (/.f64 #s(literal 1 binary64) v)) (neg.f64 m)) m (/.f64 m v)) m) |
(* -1 (* m (sqrt (/ 1 v)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (neg.f64 m)) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* 1/2 (* (/ 1 m) (sqrt (/ 1 v))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal -1/2 binary64) m) #s(literal 1 binary64))) m) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 v))) (* 1/8 (* (/ 1 m) (sqrt (/ 1 v))))) m))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) m)) m) #s(literal 1 binary64))) (neg.f64 m)) |
(* -1 (* m (+ (sqrt (/ 1 v)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 v))) (* 1/16 (* (/ 1 m) (sqrt (/ 1 v))))) m)) (* -1/2 (sqrt (/ 1 v)))) m))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) m) #s(literal -1/8 binary64)) (*.f64 m m)) (/.f64 #s(literal -1/2 binary64) m)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (neg.f64 m)) |
(* -1 (* (sqrt (/ m v)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 m v)) |
(/ (* (pow m 2) (- 1 m)) v) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) m) |
(/ (+ (* -1 (* m v)) (* (pow m 2) (- 1 m))) v) |
(*.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) m) |
(/ (- 1 m) v) |
(/.f64 (-.f64 #s(literal 1 binary64) m) v) |
(/ (* m (- 1 m)) v) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v) |
(/ (+ (* -1 v) (* m (- 1 m))) v) |
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) |
(/ (* m (+ m (pow m 2))) v) |
(*.f64 (/.f64 (fma.f64 m m m) v) m) |
(/ (+ (* -1 (* m v)) (* m (+ m (pow m 2)))) v) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(/ (+ m (pow m 2)) v) |
(/.f64 (fma.f64 m m m) v) |
(/ (+ m (+ (* -1 v) (pow m 2))) v) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(sqrt (/ (+ m (pow m 2)) v)) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(+ (* -1 m) (/ (* (pow m 2) (- 1 m)) v)) |
(*.f64 (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) m) |
(- (/ (* m (- 1 m)) v) 1) |
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64)) |
(+ (* -1 m) (/ (* m (+ m (pow m 2))) v)) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (+ (/ m v) (/ (pow m 2) v)) 1) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(+ (* -1 m) (* -1 (/ (* m (* (pow (sqrt -1) 2) (+ m (pow m 2)))) v))) |
(fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m)) |
(- (* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) 1) |
(/.f64 (-.f64 (fma.f64 m m m) v) v) |
(* -1 (/ (* (pow (sqrt -1) 2) (+ m (pow m 2))) v)) |
(/.f64 (fma.f64 m m m) v) |
(* (sqrt (/ (+ m (pow m 2)) v)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v))) |
(* (sqrt (/ m v)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 m v))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 290 |
| 0 | 62 | 290 |
| 1 | 163 | 290 |
| 2 | 889 | 276 |
| 0 | 9656 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v) |
(*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) |
(*.f64 m m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
#s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v)) |
(/.f64 (*.f64 m m) v) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
(*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m)) |
(/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) |
#s(approx (- 1 m) #s(literal 1 binary64)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) |
(/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v) |
#s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
#s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) |
(sqrt.f64 (/.f64 m v)) |
| Outputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (fma.f64 m m m) (/.f64 m v))) |
(*.f64 (fma.f64 m m m) (/.f64 (neg.f64 m) v)) |
(*.f64 (fma.f64 m m m) (/.f64 m v)) |
(*.f64 (neg.f64 m) (/.f64 (fma.f64 m m m) v)) |
(*.f64 (*.f64 (fma.f64 m m m) (/.f64 m v)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)) |
(*.f64 (*.f64 m m) (/.f64 (-.f64 #s(literal 1 binary64) m) v)) |
(*.f64 (/.f64 (fma.f64 m m m) v) (neg.f64 m)) |
(*.f64 (/.f64 (fma.f64 m m m) v) m) |
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (*.f64 m m) v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 m m m) (/.f64 m v))) |
(*.f64 m (/.f64 (fma.f64 m m m) v)) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 (pow.f64 v #s(literal -3 binary64)) (pow.f64 (/.f64 m v) #s(literal 3 binary64)))) (+.f64 (pow.f64 v #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 m v) #s(literal 2 binary64)) (/.f64 m (*.f64 v v))))) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 (neg.f64 v) (*.f64 (neg.f64 v) m))) (*.f64 (neg.f64 v) v)) |
(/.f64 (*.f64 (*.f64 m m) (-.f64 v (*.f64 v m))) (*.f64 v v)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (*.f64 (neg.f64 m) m)) (*.f64 (fma.f64 #s(literal -1 binary64) m #s(literal -1 binary64)) (neg.f64 v))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) (*.f64 m m)) (*.f64 (fma.f64 #s(literal -1 binary64) m #s(literal -1 binary64)) v)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) (*.f64 (neg.f64 m) m)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m #s(literal -1 binary64)) (neg.f64 v))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))) (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64)) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64))) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v)) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 2 binary64)) (/.f64 (fma.f64 m m m) v) (fma.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))))) |
(*.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) #s(literal 1 binary64)) |
(*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) |
(*.f64 (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)))) |
(/.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (neg.f64 (hypot.f64 (sqrt.f64 m) m))) (neg.f64 (sqrt.f64 v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sqrt.f64 m) m) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))))) (sqrt.f64 v)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (hypot.f64 (sqrt.f64 m) m))) (sqrt.f64 v)) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (sqrt.f64 m) m) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))))) (neg.f64 (sqrt.f64 v))) |
(/.f64 (neg.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (hypot.f64 (sqrt.f64 m) m))) (neg.f64 (sqrt.f64 v))) |
(/.f64 (*.f64 (hypot.f64 (sqrt.f64 m) m) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) (sqrt.f64 v)) |
(/.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (hypot.f64 (sqrt.f64 m) m)) (sqrt.f64 (neg.f64 v))) |
(/.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) (hypot.f64 (sqrt.f64 m) m)) (sqrt.f64 v)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) m)) (sqrt.f64 (/.f64 m v))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (+.f64 (log1p.f64 m) (log.f64 (/.f64 m v)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 m) m))) (neg.f64 (neg.f64 (sqrt.f64 v)))) |
(/.f64 (hypot.f64 (pow.f64 (/.f64 (*.f64 m m) v) #s(literal 3/2 binary64)) (pow.f64 (/.f64 m v) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m m) v) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 m v) #s(literal 2 binary64)) (*.f64 m (pow.f64 (/.f64 m v) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (neg.f64 m) m) v (*.f64 (neg.f64 v) m))) (sqrt.f64 (*.f64 (neg.f64 v) v))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 m m) v (*.f64 v m))) (sqrt.f64 (*.f64 v v))) |
(/.f64 (neg.f64 (hypot.f64 (sqrt.f64 m) m)) (neg.f64 (sqrt.f64 (neg.f64 v)))) |
(/.f64 (neg.f64 (hypot.f64 (sqrt.f64 m) m)) (neg.f64 (sqrt.f64 v))) |
(/.f64 (hypot.f64 (*.f64 m m) m) (sqrt.f64 (*.f64 (fma.f64 m m m) v))) |
(/.f64 (hypot.f64 (pow.f64 m #s(literal 3/2 binary64)) (pow.f64 m #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 m m m) m (pow.f64 m #s(literal 4 binary64))) v))) |
(/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 (neg.f64 v))) |
(/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v)) |
(/.f64 (/.f64 (fma.f64 m m m) v) (/.f64 (hypot.f64 (sqrt.f64 m) m) (sqrt.f64 v))) |
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (sqrt.f64 m) m)) (sqrt.f64 v))) |
(neg.f64 (/.f64 (hypot.f64 (sqrt.f64 m) m) (neg.f64 (sqrt.f64 v)))) |
(sqrt.f64 (/.f64 (fma.f64 m m m) v)) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 m) (log.f64 (/.f64 m v))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 (log1p.f64 m) (log.f64 (/.f64 m v))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 (log1p.f64 m) (log.f64 (/.f64 m v))) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(literal 1 binary64)) |
#s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 m v) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 m v) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 m v) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 m v) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 m v) #s(literal 1/4 binary64)) (pow.f64 (/.f64 m v) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 m v))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 m v) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 m v) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 m v) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 m))) (neg.f64 (neg.f64 (sqrt.f64 v)))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 m))) (neg.f64 (sqrt.f64 (neg.f64 v)))) |
(/.f64 (neg.f64 (sqrt.f64 m)) (neg.f64 (sqrt.f64 v))) |
(/.f64 (sqrt.f64 (neg.f64 m)) (sqrt.f64 (neg.f64 v))) |
(/.f64 (sqrt.f64 m) (sqrt.f64 v)) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 v))) |
(neg.f64 (/.f64 (sqrt.f64 m) (neg.f64 (sqrt.f64 v)))) |
(sqrt.f64 (/.f64 m v)) |
(exp.f64 (*.f64 (log.f64 (/.f64 m v)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 m v)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 m v)) #s(literal 1/2 binary64)))) |
Compiled 12 419 to 1 389 computations (88.8% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 365 | 3 | 368 |
| Fresh | 1 | 6 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 368 | 17 | 385 |
| Status | Accuracy | Program |
|---|---|---|
| 31.9% | (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) m) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| 44.1% | (/.f64 (*.f64 (-.f64 (/.f64 #s(approx (* (+ (* m m) m) (/ (+ (* m m) m) v)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) m) m)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| 38.5% | (/.f64 (*.f64 (-.f64 #s(approx (pow (/ (+ (* m m) m) v) 2) (*.f64 (/.f64 (/.f64 m v) v) m)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) | |
| 48.4% | (*.f64 (-.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) | |
| 48.5% | (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) | |
| ✓ | 48.5% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
| ✓ | 76.6% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
| ✓ | 51.3% | (*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
| ✓ | 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
| 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (neg.f64 m) (-.f64 (neg.f64 m) (*.f64 (neg.f64 m) m))) v)) | |
| 70.6% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) | |
| 25.2% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) | |
| 51.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) | |
| ✓ | 27.0% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
| ✓ | 19.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
| ✓ | 25.3% | #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
| ✓ | 48.4% | #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
Compiled 1 324 to 442 computations (66.6% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (neg.f64 m) (-.f64 (neg.f64 m) (*.f64 (neg.f64 m) m))) v)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 m m)) (*.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) |
(*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 m m)) m) (*.f64 (fma.f64 #s(literal -1 binary64) m #s(literal -1 binary64)) v)) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (*.f64 #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v))) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) #s(approx (sqrt (/ (+ (* m m) m) v)) (sqrt.f64 (/.f64 m v)))) #s(literal 1 binary64)) m) |
(/.f64 (*.f64 (-.f64 #s(approx (pow (/ (+ (* m m) m) v) 2) (*.f64 (/.f64 (/.f64 m v) v) m)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v))) #s(literal 1 binary64)) m) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(approx (* (+ (* m m) m) (/ (+ (* m m) m) v)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) m #s(literal 1 binary64)) v) m) m)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 m m m) (/.f64 (fma.f64 m m m) v)) v) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (fma.f64 m m m) v) m) (-.f64 #s(literal 1 binary64) (*.f64 m m)))) (sqrt.f64 (*.f64 v (-.f64 #s(literal 1 binary64) m)))) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) m) (/.f64 #s(literal 1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)) m) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 (/.f64 m v) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) m) v)) (*.f64 m m))) |
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64))) m) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 m m m) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 m m m))) v) #s(literal 1 binary64)) m) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m) (fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)) #s(literal 1 binary64)) m) (+.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64)))) (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 3 binary64)) #s(literal 1 binary64)) m) (+.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 6 binary64)))) (fma.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 m m m) v) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 m m m) v) #s(literal 4 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
3 calls:
| 10.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 9.0ms | v |
| 9.0ms | m |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 99.8% | 1 | m |
| 99.8% | 1 | v |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
| Outputs |
|---|
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
3 calls:
| 5.0ms | v |
| 5.0ms | m |
| 4.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 99.8% | 1 | m |
| 99.8% | 1 | v |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
| Outputs |
|---|
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
3 calls:
| 33.0ms | v |
| 4.0ms | m |
| 4.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 99.9% | 2 | m |
| 78.6% | 2 | v |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 #s(literal 1 binary64) m)) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)) m) |
| Outputs |
|---|
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m))) |
1 calls:
| 4.0ms | m |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | m |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (*.f64 (/.f64 (neg.f64 m) v) m)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (/.f64 #s(approx (* (- 1 m) m) (*.f64 (neg.f64 m) m)) v)) m) |
| Outputs |
|---|
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m))) |
2 calls:
| 4.0ms | m |
| 3.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 97.3% | 2 | m |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m) m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) (*.f64 m m))) |
#s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (/.f64 (*.f64 (fma.f64 m m m) m) v)) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 #s(approx (- 1 m) #s(literal 1 binary64)) v) m #s(literal -1 binary64))) m) |
| Outputs |
|---|
(*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
3 calls:
| 10.0ms | m |
| 3.0ms | v |
| 2.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 1 | v |
| 51.4% | 2 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 51.4% | 2 | m |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (/.f64 (*.f64 m m) v))) |
| Outputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m))) |
2 calls:
| 2.0ms | m |
| 1.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 2 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| 38.2% | 3 | m |
Compiled 12 to 10 computations (16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
| Outputs |
|---|
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
3 calls:
| 1.0ms | v |
| 1.0ms | m |
| 1.0ms | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.0% | 1 | m |
| 27.0% | 1 | v |
| 27.0% | 1 | (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.9336915567584846e-19 | 1.516771731493662e-12 |
| 7.0ms | 144× | 0 | valid |
Compiled 491 to 292 computations (40.5% saved)
ival-mult: 2.0ms (49.1% of total)ival-div: 1.0ms (24.6% of total)ival-sub: 1.0ms (24.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.9336915567584846e-19 | 1.516771731493662e-12 |
Compiled 338 to 256 computations (24.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.0035595010527982645 | 10.424669878274898 |
| 6.0ms | 128× | 0 | valid |
Compiled 342 to 237 computations (30.7% saved)
ival-mult: 2.0ms (53.7% of total)ival-div: 1.0ms (26.8% of total)ival-sub: 1.0ms (26.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0035595010527982645 | 10.424669878274898 |
Compiled 246 to 197 computations (19.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.5498260357713073e-308 | 2.053924289009723e-251 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 265 |
| 1 | 95 | 265 |
| 2 | 177 | 265 |
| 3 | 362 | 265 |
| 4 | 812 | 265 |
| 5 | 2178 | 265 |
| 6 | 4227 | 265 |
| 7 | 6435 | 265 |
| 8 | 7967 | 265 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
(if (<=.f64 m #s(literal 7479138541346553/1267650600228229401496703205376 binary64)) #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)))) |
(if (<=.f64 m #s(literal 7479138541346553/1267650600228229401496703205376 binary64)) (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)))) |
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m)))) |
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m))) |
(if (<=.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) |
(*.f64 #s(approx (- (/ (* m (- 1 m)) v) 1) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))) m) |
(if (<=.f64 m #s(literal 7479138541346553/1267650600228229401496703205376 binary64)) #s(approx (* (- (* (sqrt (/ (+ (* m m) m) v)) (sqrt (/ (+ (* m m) m) v))) 1) m) (fma.f64 (/.f64 (fma.f64 m m m) v) m (neg.f64 m))) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)))) |
(if (<=.f64 m #s(literal 7479138541346553/1267650600228229401496703205376 binary64)) (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) (*.f64 m m)))) |
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (*.f64 #s(approx (/ (- 1 m) v) (/.f64 (neg.f64 m) v)) (*.f64 m m)))) |
(if (<=.f64 m #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (/ (* m (- 1 m)) v) (/.f64 m v)) #s(literal 1 binary64)) m) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m))) |
(if (<=.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) m) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) #s(approx (* (- (/ (* m (- 1 m)) v) 1) m) #s(approx (* (/ (- 1 m) v) (* m m)) (*.f64 (/.f64 m v) m)))) |
#s(approx (* (- (/ (* m (- 1 m)) v) 1) m) (neg.f64 m)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 35 |
| 0 | 13 | 35 |
| 1 | 46 | 35 |
| 2 | 302 | 35 |
| 3 | 4046 | 35 |
| 0 | 8566 | 31 |
| 0 | 69 | 292 |
| 1 | 173 | 260 |
| 2 | 460 | 260 |
| 3 | 1570 | 259 |
| 4 | 5587 | 259 |
| 0 | 8104 | 253 |
| 0 | 250 | 1342 |
| 1 | 758 | 1192 |
| 2 | 2790 | 1149 |
| 0 | 8492 | 1106 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 275 to 58 computations (78.9% saved)
Compiled 572 to 132 computations (76.9% saved)
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