
Time bar (total: 4.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.8% | 0.4% | 0% | 49.8% | 0% | 3 |
| 50% | 24.9% | 24.9% | 0.4% | 0% | 49.8% | 0% | 4 |
| 75% | 37.4% | 12.5% | 0.4% | 0% | 49.8% | 0% | 5 |
| 87.5% | 43.6% | 6.2% | 0.4% | 0% | 49.8% | 0% | 6 |
| 93.8% | 46.7% | 3.1% | 0.4% | 0% | 49.8% | 0% | 7 |
| 96.9% | 48.2% | 1.6% | 0.4% | 0% | 49.8% | 0% | 8 |
| 98.4% | 49% | 0.8% | 0.4% | 0% | 49.8% | 0% | 9 |
| 99.2% | 49.4% | 0.4% | 0.4% | 0% | 49.8% | 0% | 10 |
| 99.6% | 49.4% | 0.2% | 0.4% | 0% | 50% | 0% | 11 |
| 99.8% | 49.5% | 0.1% | 0.4% | 0% | 50% | 0% | 12 |
Compiled 4 to 4 computations (0% saved)
| 602.0ms | 8 256× | 0 | valid |
ival-atanh: 153.0ms (94.9% of total)ival-true: 5.0ms (3.1% of total)ival-assert: 3.0ms (1.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 47 | 0 | - | 47 | (0.0028417056892067194) | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary32) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) x) |
| 0 | 0 | - | 0 | - | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 48 |
| - | 0 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 48 |
| - | 0 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-mult: 7.0ms (37.4% of total)ival-div: 4.0ms (21.4% of total)ival-log1p: 4.0ms (21.4% of total)ival-sub: 3.0ms (16% of total)exact: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 24 | 10 |
| 2 | 31 | 10 |
| 3 | 37 | 10 |
| 4 | 44 | 10 |
| 5 | 58 | 10 |
| 6 | 96 | 10 |
| 7 | 163 | 10 |
| 8 | 221 | 10 |
| 9 | 249 | 10 |
| 10 | 260 | 10 |
| 11 | 270 | 10 |
| 12 | 270 | 10 |
| 0 | 270 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Compiled 10 to 9 computations (10% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 15 | 35 |
| 1 | 24 | 35 |
| 2 | 31 | 35 |
| 3 | 37 | 35 |
| 4 | 44 | 35 |
| 5 | 58 | 35 |
| 6 | 96 | 35 |
| 7 | 163 | 35 |
| 8 | 221 | 35 |
| 9 | 249 | 35 |
| 10 | 260 | 35 |
| 11 | 270 | 35 |
| 12 | 270 | 35 |
| 0 | 270 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 x #s(literal 1 binary32)))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.04296875 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.670720740358246 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 52.0ms | 256× | 0 | valid |
Compiled 76 to 20 computations (73.7% saved)
ival-mult: 39.0ms (86.9% of total)ival-div: 2.0ms (4.5% of total)ival-log1p: 2.0ms (4.5% of total)ival-sub: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 302 |
| 1 | 312 | 290 |
| 2 | 799 | 282 |
| 3 | 2150 | 280 |
| 4 | 4030 | 280 |
| 5 | 6476 | 280 |
| 0 | 8265 | 260 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/5 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (pow.f32 x #s(literal 5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 54 | 28 |
| 2 | 404 | 28 |
| 3 | 5595 | 28 |
| 0 | 8636 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (+.f32 (log1p.f32 (*.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))))) |
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(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x))) |
(exp.f32 (*.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (-.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) (log1p.f32 x)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal -2 binary32) (neg.f32 x)) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (neg.f32 x) #s(literal -2 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x)) |
(neg.f32 (*.f32 #s(literal -2 binary32) x)) |
Compiled 4 257 to 822 computations (80.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 7 | 186 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 7 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) | |
| ▶ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ▶ | 65.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| 75.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| ▶ | 96.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| ▶ | 96.5% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 6.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
Compiled 336 to 218 computations (35.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) | |
| cost-diff | 0 | (log.f32 #s(literal -1 binary32)) | |
| cost-diff | 0 | (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) | |
| cost-diff | 0 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 64 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 992 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 416 |
| 0 | 85 | 387 |
| 1 | 152 | 384 |
| 2 | 290 | 384 |
| 3 | 557 | 384 |
| 4 | 1245 | 384 |
| 5 | 2709 | 384 |
| 6 | 5710 | 363 |
| 0 | 8490 | 357 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
(/.f32 #s(literal 1/5 binary32) (*.f32 x x)) |
#s(literal 1/5 binary32) |
(*.f32 x x) |
x |
#s(literal -1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(/.f32 #s(literal -1 binary32) x) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log1p.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(-.f32 (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 binary32)))) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
(/.f32 #s(literal 1/5 binary32) (*.f32 x x)) |
#s(literal 1/5 binary32) |
(*.f32 x x) |
x |
#s(literal -1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(/.f32 #s(literal -1 binary32) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) | |
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) | |
| accuracy | 0 | (*.f32 x #s(literal 2 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 0.3683325235900117 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 1.7299316712525072 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| accuracy | 2.390657501312169 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| accuracy | 2.3913355945671535 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| accuracy | 3.0164016659272646 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| accuracy | 6.015626757912416 | (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) | |
| accuracy | 6.79392394721153 | (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 170.0ms | 256× | 0 | invalid |
Compiled 803 to 96 computations (88% saved)
ival-sub: 56.0ms (36.7% of total)ival-mult: 39.0ms (25.5% of total)ival-pow: 27.0ms (17.7% of total)ival-div: 10.0ms (6.5% of total)const: 7.0ms (4.6% of total)ival-add: 6.0ms (3.9% of total)ival-log1p: 6.0ms (3.9% of total)ival-log: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
(/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 x x) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(/ 1/5 (pow x 5)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 5)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (pow x 2)))) (pow x 5)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))))) (pow x 5)) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(pow x 2) |
(/ 1/5 (pow x 2)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 3)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
1/3 |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (log -1) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3)) (+ (* (+ (* 2 x) 2) x) 2) (+ (* 2 x) 2) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* (- 1 x) x) 1) (* x 2) (* x x) (- (/ 1/5 (* x x)) -1/3)) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (log -1) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3)) (+ (* (+ (* 2 x) 2) x) 2) (+ (* 2 x) 2) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* (- 1 x) x) 1) (* x 2) (* x x) (- (/ 1/5 (* x x)) -1/3)) |
| 3.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (log -1) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3)) (+ (* (+ (* 2 x) 2) x) 2) (+ (* 2 x) 2) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* (- 1 x) x) 1) (* x 2) (* x x) (- (/ 1/5 (* x x)) -1/3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 956 |
| 1 | 903 | 927 |
| 2 | 2340 | 899 |
| 3 | 5331 | 890 |
| 0 | 8141 | 817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(/ 1/5 (pow x 5)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 5)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (pow x 2)))) (pow x 5)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))))) (pow x 5)) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(pow x 2) |
(/ 1/5 (pow x 2)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 3)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
1/3 |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(/ 1/5 (pow x 5)) |
(/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 5)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (pow x 2)))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 x x #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 x)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(/ 1/5 (pow x 2)) |
(/.f32 #s(literal 1/5 binary32) (*.f32 x x)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) x) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x))) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(*.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -1 binary32))) |
(* -2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) (*.f32 x x)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))) |
(/ 1/3 (pow x 3)) |
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f32 x (*.f32 x x)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) (*.f32 x x)) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 343 |
| 0 | 85 | 314 |
| 1 | 354 | 290 |
| 2 | 3068 | 290 |
| 0 | 8740 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
(/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 x x) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
| Outputs |
|---|
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(+.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 x (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) x)) (neg.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32))) x)) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)))) (neg.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (*.f32 x (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32))))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) x) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (*.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32))) x) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(/.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32)))) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(fma.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x)) |
(fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) |
(fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x)) |
(fma.f32 #s(literal 2 binary32) x (*.f32 x (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) |
(+.f32 (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x)) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
(*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))) |
(*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 x (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))))) (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -2 binary32) x))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))))) (neg.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))))) |
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(-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32)) (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)))) |
(-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32)) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32))))) (/.f32 #s(literal -1/27 binary32) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)))))) |
(-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) |
(-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32)) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) (+.f32 (/.f32 #s(literal -1/15 binary32) (*.f32 x x)) #s(literal 1/9 binary32)))) (/.f32 #s(literal -1/27 binary32) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) (+.f32 (/.f32 #s(literal -1/15 binary32) (*.f32 x x)) #s(literal 1/9 binary32))))) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
(fma.f32 (/.f32 #s(literal 1/5 binary32) x) (/.f32 #s(literal 1 binary32) x) #s(literal 1/3 binary32)) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/5 binary32) x) #s(literal 1/3 binary32)) |
(fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal -1/5 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1/3 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) |
(pow.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #s(literal -1/9 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) (+.f32 (/.f32 #s(literal -1/15 binary32) (*.f32 x x)) #s(literal 1/9 binary32))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) #s(literal -1 binary32)) |
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) |
(+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) |
Compiled 21 599 to 2 973 computations (86.2% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 15 | 611 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 600 | 18 | 618 |
| Status | Accuracy | Program |
|---|---|---|
| 25.8% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 95.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))) | |
| ✓ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ▶ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ▶ | 10.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| ✓ | 68.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| 66.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| ▶ | 68.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
| 32.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))) | |
| 11.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) | |
| 91.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32)))))) | |
| 12.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))) | |
| 72.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) x)))) | |
| ▶ | 88.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
| ▶ | 77.7% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.5% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 7.9% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) | |
| 5.9% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
Compiled 926 to 595 computations (35.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 992 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 0 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 581 |
| 0 | 94 | 544 |
| 1 | 166 | 544 |
| 2 | 299 | 544 |
| 3 | 506 | 544 |
| 4 | 1006 | 532 |
| 5 | 2078 | 532 |
| 6 | 4533 | 514 |
| 0 | 8337 | 490 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (/.f32 x (-.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 (log1p.f32 (fma.f32 (*.f32 x (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal -2 binary32) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(log1p.f32 (fma.f32 (*.f32 x (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal -2 binary32) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(fma.f32 (*.f32 x (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal -2 binary32) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal -2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.5947481187020259 | #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| accuracy | 3.726817962042523 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| accuracy | 9.200007604057651 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| accuracy | 0.07421875 | (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| accuracy | 2.7150734203238174 | (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) | |
| accuracy | 2.735763697714707 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 2.800702436698327 | (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 0.00390625 | (-.f32 #s(literal 1 binary32) (*.f32 x x)) | |
| accuracy | 0.0234375 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 2.8398419773265378 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 5.7392828251223476 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| accuracy | 0.03125 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| accuracy | 1.004668979356049 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| accuracy | 6.793913010878015 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| accuracy | 0.0859375 | (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) | |
| accuracy | 0.8341067917786542 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) | |
| accuracy | 2.648289570428318 | #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) | |
| accuracy | 3.079032636949912 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
| 86.0ms | 256× | 0 | valid |
Compiled 1 057 to 108 computations (89.8% saved)
ival-mult: 31.0ms (45.8% of total)ival-add: 9.0ms (13.3% of total)ival-log1p: 8.0ms (11.8% of total)ival-div: 7.0ms (10.3% of total)ival-sub: 4.0ms (5.9% of total)const: 4.0ms (5.9% of total)ival-pow: 4.0ms (5.9% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* -2 x)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* 2 x) 2) x) 2) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 3.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* 2 x) 2) x) 2) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 2.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* 2 x) 2) x) 2) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (- 1 (* x x)) (+ (* (+ (* -2 x) 2) x) 2) (+ (* -2 x) 2) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 1099 |
| 1 | 959 | 1058 |
| 2 | 2518 | 1018 |
| 3 | 5927 | 1012 |
| 0 | 8236 | 954 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* -2 x)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(+ 2 (* 2 x)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (pow x 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(+ 2 (* -2 x)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x)) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(* -10/3 (pow x 3)) |
(*.f32 #s(literal -10/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(fma.f32 #s(literal -10/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))) |
(* -10/3 (pow x 2)) |
(*.f32 #s(literal -10/3 binary32) (*.f32 x x)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) x) x) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) x)) |
(* -2 (pow x 3)) |
(*.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(fma.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) x) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(* -2 (pow x 2)) |
(*.f32 (*.f32 #s(literal -2 binary32) x) x) |
(* (pow x 2) (- (* 2 (/ 1 x)) 2)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(fma.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(fma.f32 #s(literal -10/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 506 |
| 0 | 94 | 469 |
| 1 | 374 | 451 |
| 2 | 2948 | 451 |
| 0 | 9374 | 431 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
| Outputs |
|---|
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))))) |
(+.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x) |
(*.f32 x #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x) |
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(pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (fma.f32 (*.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal -4 binary32)))) (fma.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 x (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) x) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) x) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(/.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (*.f32 x (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
(fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(fma.f32 #s(literal 2 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
(+.f32 (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x)) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
Compiled 22 874 to 2 850 computations (87.5% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 597 | 16 | 613 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 603 | 28 | 631 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
| 25.8% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) | |
| 95.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 46.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))) | |
| ✓ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ✓ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 96.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)))))))) | |
| ✓ | 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| 95.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 10.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| ▶ | 87.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 11.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| ▶ | 93.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
| 65.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 #s(approx (+ (* -2 x) 2) (*.f32 #s(literal -2 binary32) x)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 68.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 32.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))) | |
| 20.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))) | |
| 96.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 91.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32)))))) | |
| 11.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))) | |
| ▶ | 11.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
| ✓ | 88.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
| 9.5% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x)))) | |
| ✓ | 82.8% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ▶ | 86.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.5% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 8.1% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
Compiled 1 502 to 964 computations (35.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) | |
| cost-diff | 64 | (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) | |
| cost-diff | 128 | (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| cost-diff | 576 | (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) | |
| cost-diff | 3744 | (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) | |
| cost-diff | 416 | (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) | |
| cost-diff | 0 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 96 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 711 |
| 0 | 116 | 703 |
| 1 | 204 | 680 |
| 2 | 419 | 640 |
| 3 | 1120 | 635 |
| 4 | 3827 | 591 |
| 0 | 8889 | 556 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) |
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(/.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(neg.f32 x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal 1/2 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) x (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 2 binary32)) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) x)) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x) |
(*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) x) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(/.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (-.f32 x (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) |
(*.f32 #s(literal -2 binary32) (*.f32 x x)) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
x |
#s(literal 2 binary32) |
(neg.f32 x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (-.f32 x (pow.f32 x #s(literal 3 binary32))) #s(literal -2 binary32)) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(fma.f32 x x #s(literal -1 binary32)) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal 1/2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| accuracy | 2.5123824978366622 | (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 2.571169677975955 | (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) | |
| accuracy | 2.6772819107243504 | (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0.046875 | (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| accuracy | 0.0546875 | (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 2.9719311510001516 | (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| accuracy | 3.1528531538166256 | (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) | |
| accuracy | 0.27339329956299363 | (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) | |
| accuracy | 0.6918619809206129 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)) | |
| accuracy | 3.041752880314787 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x))) | |
| accuracy | 29.24158017030565 | #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) | |
| accuracy | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| accuracy | 0.02734375 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| accuracy | 0.8412083810706369 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| accuracy | 4.4084169342299395 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| accuracy | 0.0234375 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 3.6649533874411766 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 8.626315174279105 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| accuracy | 30.745985958349827 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
| 130.0ms | 254× | 0 | valid |
| 3.0ms | 2× | 5 | exit |
Compiled 1 290 to 133 computations (89.7% saved)
ival-mult: 57.0ms (51% of total)ival-div: 18.0ms (16.1% of total)ival-add: 10.0ms (9% of total)ival-log1p: 8.0ms (7.2% of total)const: 6.0ms (5.4% of total)ival-sub: 5.0ms (4.5% of total)ival-pow: 4.0ms (3.6% of total)ival-neg: 2.0ms (1.8% of total)adjust: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)) |
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) |
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
| Outputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* 2 x)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* 2 x) 2)) 2)) |
(* x (- (* x (- (* x (+ 2 (* 2 x))) 2)) 2)) |
-1 |
(- (pow x 2) 1) |
(* -2 (pow x 2)) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(- (* 2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 2 (* -1 (pow x 2)))) 1) |
(+ 2 (* -2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2 (pow x 4)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (* 2 (/ 1 x))) (/ 2 (pow x 2)))) |
(* (pow x 4) (+ 2 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (* 2 (/ 1 x))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) 1)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 4))))) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | ((* 1 (* 2 (/ x (- 1 (* x x))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* (- (/ 2 x) -2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))) (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (neg (- 1 (* x x))) (* (* x 2) (neg x)) (* (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) 1/2) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* (+ (* 2 x) 2) x) 2) (log (+ 1 (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))))) (* (neg (- 1 (* x x))) (- 1 (* x x))) (+ (* -2 x) 2) (+ (* (+ (* -2 x) 2) x) 2) (* (+ (* (+ (* -2 x) 2) x) 2) x)) |
| 3.0ms | x | @ | -inf | ((* 1 (* 2 (/ x (- 1 (* x x))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* (- (/ 2 x) -2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))) (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (neg (- 1 (* x x))) (* (* x 2) (neg x)) (* (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) 1/2) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* (+ (* 2 x) 2) x) 2) (log (+ 1 (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))))) (* (neg (- 1 (* x x))) (- 1 (* x x))) (+ (* -2 x) 2) (+ (* (+ (* -2 x) 2) x) 2) (* (+ (* (+ (* -2 x) 2) x) 2) x)) |
| 3.0ms | x | @ | inf | ((* 1 (* 2 (/ x (- 1 (* x x))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (* (- (/ 2 x) -2) x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))) (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (neg (- 1 (* x x))) (* (* x 2) (neg x)) (* (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) 1/2) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (/ x (- 1 (* x x))) (+ (* (+ (* 2 x) 2) x) 2) (log (+ 1 (/ (+ (* (* (* x 2) (neg x)) (- 1 (* x x))) (* (neg (- 1 (* x x))) (* x 2))) (* (neg (- 1 (* x x))) (- 1 (* x x)))))) (* (neg (- 1 (* x x))) (- 1 (* x x))) (+ (* -2 x) 2) (+ (* (+ (* -2 x) 2) x) 2) (* (+ (* (+ (* -2 x) 2) x) 2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 1191 |
| 1 | 1047 | 1145 |
| 2 | 2729 | 1111 |
| 3 | 6472 | 1105 |
| 0 | 8609 | 1024 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(+ 2 (* 2 x)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* 2 x) 2)) 2)) |
(* x (- (* x (- (* x (+ 2 (* 2 x))) 2)) 2)) |
-1 |
(- (pow x 2) 1) |
(* -2 (pow x 2)) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(- (* 2 (pow x 2)) 1) |
(- (* (pow x 2) (+ 2 (* -1 (pow x 2)))) 1) |
(+ 2 (* -2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(* 2 (pow x 4)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (* 2 (/ 1 x))) (/ 2 (pow x 2)))) |
(* (pow x 4) (+ 2 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (* 2 (/ 1 x))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) 1)) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 4))))) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
| Outputs |
|---|
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(+ 2 (* 2 x)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* x (- (* -2 x) 2)) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) |
(* x (- (* x (- (* 2 x) 2)) 2)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x) |
(* x (- (* x (- (* x (+ 2 (* 2 x))) 2)) 2)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(* -2 (pow x 2)) |
(*.f32 (*.f32 #s(literal -2 binary32) x) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(- (* 2 (pow x 2)) 1) |
(fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -1 binary32)) |
(- (* (pow x 2) (+ 2 (* -1 (pow x 2)))) 1) |
(fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 x x) #s(literal -1 binary32)) |
(+ 2 (* -2 x)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal -2 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32))) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(* -10/3 (pow x 3)) |
(*.f32 #s(literal -10/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* -10/3 (pow x 2)) |
(*.f32 #s(literal -10/3 binary32) (*.f32 x x)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
(* 2 (pow x 4)) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32)) |
(* (pow x 4) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (- (+ 2 (* 2 (/ 1 x))) (/ 2 (pow x 2)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ 2 (+ (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (* 2 (/ 1 x))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x)) (pow.f32 x #s(literal 4 binary32))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))) |
(* -2 (pow x 3)) |
(*.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* -1 (pow x 4)) |
(neg.f32 (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 1 (pow x 4))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 2)) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal -2 binary32)) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal 1 binary32))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(* (pow x 4) (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x)) (pow.f32 x #s(literal 4 binary32))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 554 |
| 0 | 114 | 546 |
| 1 | 437 | 520 |
| 2 | 3381 | 520 |
| 0 | 10690 | 499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)) |
(/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
#s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) |
(log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
| Outputs |
|---|
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 x (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x #s(literal 2 binary32)))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32)) |
(*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))))) |
(*.f32 (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (*.f32 (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #s(literal 2 binary32))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -2 binary32)) #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (-.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -3 binary32)) #s(literal 8 binary32) (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 3 binary32))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (/.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)))) |
(fma.f32 (*.f32 x #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) |
(fma.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32))) |
(fma.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x #s(literal 2 binary32)) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))))) |
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(*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)))) |
(*.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)) #s(literal 4 binary32))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)))) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 x (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) x) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) x) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(/.f32 (*.f32 x (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal -2 binary32))) |
(/.f32 (*.f32 x (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 3 binary32)) #s(literal 8 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
(fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(fma.f32 #s(literal 2 binary32) x (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
(+.f32 (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x)) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) x)) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x))) |
Compiled 23 297 to 2 784 computations (88% saved)
30 alts after pruning (20 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 4 | 542 |
| Fresh | 1 | 16 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 540 | 30 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 25.8% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 10.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) | |
| 96.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 39.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))) | |
| ✓ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ✓ | 95.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 95.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)))))))) | |
| ✓ | 10.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| 95.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 95.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) | |
| ✓ | 91.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| 11.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| 78.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (*.f32 #s(literal -2 binary32) x) x) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| ✓ | 94.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
| 66.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 #s(approx (+ (* -2 x) 2) (*.f32 #s(literal -2 binary32) x)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 68.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 32.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))) | |
| 20.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))) | |
| 96.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 91.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32)))))) | |
| 11.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))) | |
| ✓ | 11.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
| ✓ | 96.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
| 9.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x)))) | |
| ✓ | 76.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 85.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.5% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 8.0% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) | |
| 6.1% | #s(approx (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
Compiled 2 150 to 880 computations (59.1% saved)
Total -30.0b remaining (-2699%)
Threshold costs -30b (-2699%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (*.f32 x x) #s(literal -10/3 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) #s(literal 2 binary32)) x)))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x) (*.f32 x #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(approx (+ (* (+ (* 2 x) 2) x) 2) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) x)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (neg.f32 x) x #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (*.f32 #s(literal -2 binary32) x) x) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 #s(approx (+ (* -2 x) 2) (*.f32 #s(literal -2 binary32) x)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x #s(approx (- 1 (* x x)) #s(literal 1 binary32)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 x (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (+ (* (- 1 x) x) 1) (* x 2)) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) x)))) |
#s(approx (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
4 calls:
| 12.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 11.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 11.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | x |
| 96.5% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.5% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.5% | 1 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
Compiled 26 to 23 computations (11.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 17 | 16 |
| 1× | saturated |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 302 |
| 1 | 312 | 290 |
| 2 | 799 | 282 |
| 3 | 2150 | 280 |
| 4 | 4030 | 280 |
| 5 | 6476 | 280 |
| 0 | 8265 | 260 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 21 to 18 computations (14.3% saved)
Compiled 52 to 44 computations (15.4% saved)
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