
Time bar (total: 5.2s)
| 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)
| 374.0ms | 8 256× | 0 | valid |
ival-atanh: 176.0ms (95.6% of total)ival-true: 6.0ms (3.3% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 42 | 0 | - | 42 | (-1.578010960656684e-5) | (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 | 46 |
| - | 0 | 210 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 46 |
| - | 0 | 0 | 210 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 92 to 31 computations (66.3% saved)
ival-mult: 7.0ms (37.9% of total)ival-div: 4.0ms (21.7% of total)ival-log1p: 4.0ms (21.7% of total)ival-sub: 3.0ms (16.2% of total)exact: 1.0ms (5.4% 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 | 215 | 10 |
| 9 | 243 | 10 |
| 10 | 254 | 10 |
| 11 | 264 | 10 |
| 12 | 264 | 10 |
| 0 | 264 | 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 |
|---|---|---|
| ▶ | 82.8% | (*.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 | 215 | 35 |
| 9 | 243 | 35 |
| 10 | 254 | 35 |
| 11 | 264 | 35 |
| 12 | 264 | 35 |
| 0 | 264 | 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 | 0.0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.05859375 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.3819011384654885 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 15.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-mult: 3.0ms (33% of total)ival-div: 2.0ms (22% of total)ival-log1p: 2.0ms (22% of total)ival-sub: 1.0ms (11% 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 | |
|---|---|---|---|---|
| 2.0ms | 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 | @ | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 302 |
| 1 | 312 | 290 |
| 2 | 799 | 282 |
| 3 | 2154 | 280 |
| 4 | 4038 | 280 |
| 5 | 6510 | 280 |
| 0 | 8130 | 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 | 5597 | 28 |
| 0 | 8639 | 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)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 8 | 186 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 8 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) | |
| 64.2% | (*.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))))) |
| ▶ | 5.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
| 96.4% | (*.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)))) | |
| ▶ | 8.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ▶ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 5.8% | #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 342 to 256 computations (25.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (*.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))))) | |
| cost-diff | 1 | (*.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)))) | |
| cost-diff | 0 | (log.f32 #s(literal -1 binary32)) | |
| cost-diff | 0 | (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)))) | |
| 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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| 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 | 49 | 408 |
| 0 | 83 | 408 |
| 1 | 141 | 408 |
| 2 | 282 | 408 |
| 3 | 754 | 408 |
| 4 | 2764 | 408 |
| 5 | 5734 | 408 |
| 0 | 8484 | 398 |
| 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)) #s(literal -2 binary32)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
#s(literal -2 binary32) |
(/.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(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) |
(*.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))))) |
#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 (*.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 (*.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 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
x |
(-.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 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x 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)) #s(literal -2 binary32)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
#s(literal -2 binary32) |
(/.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(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) |
(*.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 (log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1/2 binary32)) |
#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)))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.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 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 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))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
x |
(-.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 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.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)))) | |
| accuracy | 0.0 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 0.0 | (*.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))))) | |
| accuracy | 0.0 | (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)))) | |
| accuracy | 0.0 | (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) | |
| accuracy | 0.0 | (*.f32 x x) | |
| accuracy | 0.0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0.0 | #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 | 0.0 | (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) | |
| accuracy | 0.0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))) | |
| accuracy | 0.0 | #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) | |
| accuracy | 0.0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) | |
| accuracy | 0.0 | #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) | |
| accuracy | 0.0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 124.0ms | 256× | 0 | invalid |
Compiled 371 to 41 computations (88.9% saved)
ival-mult: 35.0ms (34.9% of total)ival-div: 33.0ms (32.9% of total)ival-sub: 9.0ms (9% of total)const: 8.0ms (8% of total)ival-log1p: 4.0ms (4% of total)ival-pow: 4.0ms (4% of total)ival-pow2: 3.0ms (3% of total)ival-add: 2.0ms (2% of total)ival-log: 1.0ms (1% of total)exact: 1.0ms (1% 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)) #s(literal -2 binary32)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 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 (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)) |
(*.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 1/2 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))))) |
(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 (*.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 x x) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 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))))))) |
(/ -2 (pow x 2)) |
(/ (- (* -2 x) 2) (pow x 2)) |
(/ (- (* x (- (* -2 x) 2)) 2) (pow 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)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))))) (pow x 5)) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
(pow x 2) |
(/ 1/5 (pow x 2)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(* x (+ 2 (* 2 (pow x 3)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(* 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)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/5 (pow x 5)) (* 1/3 (/ 1 (pow x 3))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
1/3 |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (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) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (- -2 (/ (- (/ 2 x) -2) x)) (* 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) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (log -1) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* x x) (- (/ 1/5 (* x x)) -1/3) (* 2 (/ x (- 1 (pow x 3))))) |
| 4.0ms | 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)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (- -2 (/ (- (/ 2 x) -2) x)) (* 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) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (log -1) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* x x) (- (/ 1/5 (* x x)) -1/3) (* 2 (/ x (- 1 (pow x 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)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (- -2 (/ (- (/ 2 x) -2) x)) (* 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) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (log -1) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* x x) (- (/ 1/5 (* x x)) -1/3) (* 2 (/ x (- 1 (pow x 3))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 693 |
| 1 | 598 | 682 |
| 2 | 1640 | 642 |
| 3 | 5073 | 622 |
| 0 | 8199 | 580 |
| 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))))))) |
(/ -2 (pow x 2)) |
(/ (- (* -2 x) 2) (pow x 2)) |
(/ (- (* x (- (* -2 x) 2)) 2) (pow 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)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))))) (pow x 5)) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
(pow x 2) |
(/ 1/5 (pow x 2)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(* x (+ 2 (* 2 (pow x 3)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(* 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)))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/5 (pow x 5)) (* 1/3 (/ 1 (pow x 3))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
1/3 |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (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) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow 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 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 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 x (pow.f32 x #s(literal 3 binary32)))) |
(/ -2 (pow x 2)) |
(/.f32 #s(literal -2 binary32) (*.f32 x x)) |
(/ (- (* -2 x) 2) (pow x 2)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(/ (- (* x (- (* -2 x) 2)) 2) (pow x 2)) |
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #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))) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))))) (pow x 5)) |
(/.f32 (fma.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32))) (pow.f32 x #s(literal 5 binary32))) |
(* x (+ 2 (* -2 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -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)) (*.f32 x x) #s(literal 2 binary32)) x) |
(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) |
(* x (+ 2 (* 2 (pow x 3)))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) #s(literal 2 binary32)) |
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))) |
(*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (pow.f32 x #s(literal 7 binary32)))) |
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3)))))))) |
(*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 x (pow.f32 x #s(literal 7 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 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)))) |
(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 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(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)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/5 (pow x 5)) (* 1/3 (/ 1 (pow x 3))))) |
(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 1/5 binary32) (pow.f32 x #s(literal 5 binary32))))) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 4 binary32)) x) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2 binary32) x))) x) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -4 binary32))) x) |
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 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) |
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(*.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) x) x) (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))) #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)) |
(+ (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 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal 2 binary32))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -4 binary32))) x) |
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 312 |
| 0 | 83 | 312 |
| 1 | 352 | 252 |
| 2 | 3180 | 252 |
| 0 | 8398 | 246 |
| 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)) #s(literal -2 binary32)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 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 (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)) |
(*.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 1/2 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))))) |
(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 (*.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 x x) |
(-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 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)) #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log1p.f32 (*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))))) |
(+.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #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 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))))) |
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(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 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 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #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 1 binary32) (fma.f32 x x 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 (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 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) x))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (neg.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(/.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(/.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x))) |
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x)) |
(pow.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) x)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(neg.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(neg.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(neg.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) |
(*.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 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 (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #s(literal 1/27 binary32)))) (neg.f32 (neg.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)))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #s(literal -1/9 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (neg.f32 (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 (neg.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #s(literal 1/27 binary32))) (neg.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))))) |
(/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #s(literal -1/9 binary32)) (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32))) |
(/.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/25 binary32) #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 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #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 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/125 binary32) #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 #s(literal -1 binary32) (neg.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))))) |
(/.f32 #s(literal -1 binary32) (neg.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))))) |
(/.f32 #s(literal 1 binary32) (/.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)))) |
(/.f32 #s(literal 1 binary32) (/.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)))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/25 binary32) (pow.f32 x #s(literal 4 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 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 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)) |
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) |
(*.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(*.f32 x (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32))))) |
(/.f32 #s(literal -2 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x))) |
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32)))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32)) |
Compiled 14 416 to 1 843 computations (87.2% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 7 | 389 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 387 | 10 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
| 65.2% | (*.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)))))) | |
| 92.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| ▶ | 11.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
| ▶ | 96.4% | (*.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)))) |
| ▶ | 5.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
| ✓ | 8.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 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))) |
| 5.3% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
Compiled 516 to 374 computations (27.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) | |
| cost-diff | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) | |
| cost-diff | 1 | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| cost-diff | 0 | (log.f32 #s(literal -1 binary32)) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (-.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)) | |
| 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 #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))) | |
| cost-diff | 0 | #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| cost-diff | 0 | #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | (*.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 575 |
| 0 | 109 | 575 |
| 1 | 184 | 574 |
| 2 | 341 | 574 |
| 3 | 809 | 574 |
| 4 | 2691 | 574 |
| 5 | 5061 | 574 |
| 0 | 8709 | 558 |
| 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 (fma.f32 (fma.f32 x #s(literal 2 binary32) #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 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) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) |
#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) |
(/.f32 #s(literal -2 binary32) (*.f32 x x)) |
#s(literal -2 binary32) |
(*.f32 x x) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
#s(literal 1 binary32) |
(fma.f32 x 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 (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)) |
(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)))) |
(log.f32 #s(literal -1 binary32)) |
#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))) |
#s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) |
#s(literal 1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(/.f32 #s(literal -1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
#s(literal 1/2 binary32) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
#s(literal 1 binary32) |
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
#s(literal -2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
(-.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 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) |
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(literal 4 binary32) |
| Outputs |
|---|
(*.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)))) |
(*.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 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) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 (/.f32 #s(literal -2 binary32) x) x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 (/.f32 #s(literal -2 binary32) x) x)))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 (/.f32 #s(literal -2 binary32) x) x))) |
#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) |
#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 (/.f32 #s(literal -2 binary32) x) x)) |
(/.f32 #s(literal -2 binary32) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal -2 binary32) x) x) |
#s(literal -2 binary32) |
(*.f32 x x) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (fma.f32 x x x)) |
#s(literal 1 binary32) |
(fma.f32 x 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 (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)) |
(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)))) |
(log.f32 #s(literal -1 binary32)) |
#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))) |
#s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) |
#s(literal 1/3 binary32) |
(pow.f32 x #s(literal 3 binary32)) |
x |
#s(literal 3 binary32) |
(/.f32 #s(literal -1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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) (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
#s(literal 1/2 binary32) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) |
(log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
(-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))) |
(fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #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 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) |
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(literal 4 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| accuracy | 0.0 | (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0.0 | (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) | |
| accuracy | 0.0 | (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) | |
| accuracy | 0.0 | (-.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)) | |
| accuracy | 0.0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0.0 | #s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) | |
| accuracy | 0.0 | #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 #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))) | |
| accuracy | 0.0 | (*.f32 x x) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| accuracy | 0.0 | (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) | |
| accuracy | 0.0 | #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) | |
| accuracy | 0.0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) | |
| accuracy | 0.0 | #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) | |
| accuracy | 0.0 | #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) | |
| accuracy | 0.0 | (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| accuracy | 0.0 | (*.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)))) | |
| accuracy | 0.0 | (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))) | |
| accuracy | 0.0 | #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)) |
| 129.0ms | 256× | 0 | invalid |
Compiled 467 to 60 computations (87.2% saved)
ival-mult: 24.0ms (23% of total)ival-div: 21.0ms (20.1% of total)const: 17.0ms (16.3% of total)ival-sub: 11.0ms (10.5% of total)ival-log1p: 9.0ms (8.6% of total)ival-add: 6.0ms (5.7% of total)ival-log: 6.0ms (5.7% of total)ival-pow2: 5.0ms (4.8% of total)ival-pow: 4.0ms (3.8% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% 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 (fma.f32 (fma.f32 x #s(literal 2 binary32) #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 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 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) |
#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 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 #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 (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)) |
(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)))) |
(log.f32 #s(literal -1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 x x) |
#s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 -2 binary32) (/.f32 x (-.f32 #s(literal 1 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))))))) |
(/ -2 (pow x 2)) |
(/ (- (* -2 x) 2) (pow x 2)) |
(/ (- (* x (- (* -2 x) 2)) 2) (pow x 2)) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 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)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))))) (pow x 5)) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* -2 x) 2))) |
(+ 1 (* x (- (* x (- (* -2 x) 2)) 2))) |
(+ 1 (* -4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -8 x) 4))) |
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))) |
(pow x 2) |
(/ 1/5 (pow x 2)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(* -2 x) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 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 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/5 (pow x 5)) (* 1/3 (/ 1 (pow x 3))))) |
(* -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)))))) |
3 |
(+ 3 (* 2 (/ 1 x))) |
(+ 3 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 3 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
-3 |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x)))) |
(* -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))))) (log -1)) |
1/3 |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (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))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(+ 3 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 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)) (- -2 (/ (- (/ 2 x) -2) x)) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 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) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (log -1) (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)) (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4))))) (* x x) (- (/ 1/5 (* x x)) -1/3) (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (* -2 (/ x (- 1 x)))) |
| 3.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 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)) (- -2 (/ (- (/ 2 x) -2) x)) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 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) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (log -1) (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)) (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4))))) (* x x) (- (/ 1/5 (* x x)) -1/3) (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (* -2 (/ x (- 1 x)))) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 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)) (- -2 (/ (- (/ 2 x) -2) x)) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 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) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (log -1) (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)) (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4))))) (* x x) (- (/ 1/5 (* x x)) -1/3) (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (* -2 (/ x (- 1 x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 1083 |
| 1 | 767 | 1062 |
| 2 | 1976 | 1044 |
| 3 | 4348 | 993 |
| 0 | 8442 | 916 |
| 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))))))) |
(/ -2 (pow x 2)) |
(/ (- (* -2 x) 2) (pow x 2)) |
(/ (- (* x (- (* -2 x) 2)) 2) (pow x 2)) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 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)) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))))) (pow x 5)) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* -2 x) 2))) |
(+ 1 (* x (- (* x (- (* -2 x) 2)) 2))) |
(+ 1 (* -4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -8 x) 4))) |
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))) |
(pow x 2) |
(/ 1/5 (pow x 2)) |
(/ (+ 1/5 (* 1/3 (pow x 2))) (pow x 2)) |
(* -2 x) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 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 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/5 (pow x 5)) (* 1/3 (/ 1 (pow x 3))))) |
(* -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)))))) |
3 |
(+ 3 (* 2 (/ 1 x))) |
(+ 3 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 3 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
-3 |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x)))) |
(* -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))))) (log -1)) |
1/3 |
(+ 1/3 (* 1/5 (/ 1 (pow x 2)))) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (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))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(+ 3 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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 (*.f32 x x) #s(literal 1/5 binary32) #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 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) 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) |
(/ -2 (pow x 2)) |
(/.f32 #s(literal -2 binary32) (*.f32 x x)) |
(/ (- (* -2 x) 2) (pow x 2)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) x) |
(/ (- (* x (- (* -2 x) 2)) 2) (pow x 2)) |
(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(* x (+ 2 (* -2 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -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)) (*.f32 x 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))) |
(/ (+ 1/5 (* (pow x 2) (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 x)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* -2 x) 2))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (- (* -2 x) 2)) 2))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* -4 (pow x 2))) |
(fma.f32 #s(literal -4 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (- (* -8 x) 4))) |
(fma.f32 (fma.f32 #s(literal -8 binary32) x #s(literal -4 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -12 binary32) x #s(literal -8 binary32)) x #s(literal -4 binary32)) (*.f32 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) |
(* -2 x) |
(*.f32 #s(literal -2 binary32) x) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(*.f32 (fma.f32 #s(literal -2/3 binary32) (*.f32 x x) #s(literal -2 binary32)) x) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 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 (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 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 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 x) 2)) 2)) 2)) |
(*.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))) |
(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 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) |
(- (* -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) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x) #s(literal 2 binary32)) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x)) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) x)) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 4 binary32)) x) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 4 binary32)) x #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 4 binary32)) x (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))) |
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3)))) |
(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)))) |
(+ (* 1/2 (log -1)) (+ (/ 1/5 (pow x 5)) (* 1/3 (/ 1 (pow x 3))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(* -1/2 (log -1)) |
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 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 #s(literal -1/2 binary32) (log.f32 #s(literal -1 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))))) |
3 |
#s(literal 3 binary32) |
(+ 3 (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 3 binary32)) |
(+ 3 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 3 binary32)) |
(+ 3 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x)) |
-3 |
#s(literal -3 binary32) |
(* -1 (+ 3 (* 8 (/ 1 x)))) |
(-.f32 #s(literal -3 binary32) (/.f32 #s(literal 8 binary32) x)) |
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3) |
(-.f32 #s(literal -3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 12 binary32) x) #s(literal 8 binary32)) x)) |
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x)))) |
(fma.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 16 binary32) x) #s(literal 12 binary32)) x) #s(literal 8 binary32)) #s(literal -3 binary32)) |
(* -1 (log -1)) |
(neg.f32 (log.f32 #s(literal -1 binary32))) |
(- (* 2 (/ 1 x)) (log -1)) |
(-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1)) |
(-.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))) |
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1)) |
(-.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))) |
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)) |
(- (log -1) (* 2 (/ 1 x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) x)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 (/ 1 x))) |
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 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) #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 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x) #s(literal 2 binary32)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 4 binary32)) 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 #s(literal -1/2 binary32) (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)))) (/.f32 #s(literal -1 binary32) x)) |
(+ 3 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x)) |
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3) |
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -12 binary32) (/.f32 #s(literal 16 binary32) x)) x) #s(literal -8 binary32)) x) #s(literal 3 binary32)) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #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) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32))) x) (log.f32 #s(literal -1 binary32))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 456 |
| 0 | 109 | 456 |
| 1 | 465 | 419 |
| 2 | 3911 | 419 |
| 0 | 8276 | 403 |
| 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 (fma.f32 (fma.f32 x #s(literal 2 binary32) #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 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 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) |
#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) |
#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 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 #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 (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)) |
(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)))) |
(log.f32 #s(literal -1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 x x) |
#s(approx (- (/ 1/5 (* x x)) -1/3) #s(literal 1/3 binary32)) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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 -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
| Outputs |
|---|
(*.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 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -4 binary32)) x) (fma.f32 (fma.f32 x x x) #s(literal 2 binary32) #s(literal -2 binary32))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 8 binary32)) x) (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(/.f32 (*.f32 x (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal -4 binary32))) (fma.f32 (fma.f32 x x x) #s(literal 2 binary32) #s(literal -2 binary32))) |
(/.f32 (*.f32 x (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 8 binary32))) (fma.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(fma.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 x #s(literal 2 binary32) (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x)) |
(fma.f32 x #s(literal 2 binary32) (*.f32 x (*.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(fma.f32 #s(literal 2 binary32) x (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x)) |
(fma.f32 #s(literal 2 binary32) x (*.f32 x (*.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x (*.f32 (fma.f32 x x x) #s(literal 2 binary32))) (*.f32 x #s(literal 2 binary32))) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x)) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x (*.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))))) |
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(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (neg.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 6 binary32))))) (log1p.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) |
(+.f32 (log.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))) |
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) |
(+.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (neg.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 #s(literal 1 binary32) (-.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 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) |
(*.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 x (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) |
(/.f32 (*.f32 (neg.f32 x) #s(literal -2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal -2 binary32) (neg.f32 x)) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.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) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -2 binary32) x))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -2 binary32) x)) #s(literal -1 binary32)) |
Compiled 17 265 to 2 127 computations (87.7% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 9 | 448 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 443 | 15 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.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) x)) #s(literal -2 binary32)) #s(literal 1 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))))))) | |
| ▶ | 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))))))) | |
| 23.9% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))))))))) | |
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (+.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) x)) #s(literal -2 binary32)))))))) | |
| ▶ | 92.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
| 60.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| ▶ | 92.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
| ✓ | 96.4% | (*.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)))) |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) x))))) | |
| ✓ | 5.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
| ✓ | 8.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 7.8% | #s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
| ▶ | 5.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
Compiled 850 to 547 computations (35.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| cost-diff | 1 | (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 1 | (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 1 | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| cost-diff | 0 | #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| cost-diff | 0 | (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) | |
| cost-diff | 0 | (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) | |
| cost-diff | 0 | #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) x) | |
| cost-diff | 0 | (log.f32 #s(literal -1 binary32)) | |
| cost-diff | 0 | (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) | |
| cost-diff | 3 | (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 647 |
| 0 | 132 | 647 |
| 1 | 231 | 631 |
| 2 | 470 | 631 |
| 3 | 1117 | 631 |
| 4 | 3184 | 631 |
| 5 | 5616 | 631 |
| 0 | 8059 | 600 |
| 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 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))))) |
#s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))) |
(+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
x |
#s(literal 2 binary32) |
(*.f32 x #s(literal 2 binary32)) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
#s(literal -1/2 binary32) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) |
(*.f32 x x) |
x |
#s(literal 1/3 binary32) |
#s(literal 1/5 binary32) |
(pow.f32 x #s(literal 5 binary32)) |
#s(literal 5 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x) |
(fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) |
(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) (fma.f32 x x x)) |
#s(literal 1 binary32) |
(fma.f32 x x x) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
#s(literal 1/2 binary32) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal -2 binary32) x) |
#s(literal -2 binary32) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(+.f32 #s(literal 1 binary32) x) |
(-.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 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) |
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 2 binary32) |
#s(literal 4 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x x x) x x) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x x x) x x) #s(literal 2 binary32)))) |
#s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x x x) x x) #s(literal 2 binary32))) |
(+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (fma.f32 x x x) x x) #s(literal 2 binary32)) |
(*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
(fma.f32 x x x) |
x |
#s(literal 2 binary32) |
(*.f32 x #s(literal 2 binary32)) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
#s(literal -1/2 binary32) |
(log.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1/5 binary32)) |
(*.f32 x x) |
x |
#s(literal 1/3 binary32) |
#s(literal 1/5 binary32) |
(pow.f32 x #s(literal 5 binary32)) |
#s(literal 5 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x) |
(fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) |
(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) (fma.f32 x x x)) |
#s(literal 1 binary32) |
(fma.f32 x x x) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) |
#s(literal 1/2 binary32) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) |
(log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) |
(fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 #s(literal -2 binary32) x) |
#s(literal -2 binary32) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 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))) |
(fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) |
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 2 binary32) |
#s(literal 4 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| accuracy | 0.0 | (*.f32 #s(literal -2 binary32) x) | |
| accuracy | 0.0 | (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))) | |
| accuracy | 0.0 | (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) | |
| accuracy | 0.0 | (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| accuracy | 0.0 | (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) | |
| accuracy | 0.0 | #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) | |
| accuracy | 0.0 | (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) | |
| accuracy | 0.0 | (*.f32 x x) | |
| accuracy | 0.0 | #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) | |
| accuracy | 0.0 | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) | |
| accuracy | 0.0 | (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.0 | (/.f32 #s(literal 1 binary32) x) | |
| accuracy | 0.0 | (log.f32 #s(literal -1 binary32)) | |
| accuracy | 0.0 | #s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0.0 | (*.f32 x #s(literal 2 binary32)) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) | |
| accuracy | 0.0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))))) | |
| accuracy | 0.0 | #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))) |
| 469.0ms | 256× | 0 | invalid |
Compiled 541 to 77 computations (85.8% saved)
ival-add: 134.0ms (34.5% of total)ival-div: 97.0ms (25% of total)ival-sub: 86.0ms (22.1% of total)ival-mult: 31.0ms (8% of total)ival-log: 9.0ms (2.3% of total)const: 9.0ms (2.3% of total)ival-pow: 9.0ms (2.3% of total)ival-pow2: 5.0ms (1.3% of total)ival-log1p: 4.0ms (1% of total)ival-neg: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))))) |
#s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 x x) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 -2 binary32) x) |
| Outputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* 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 (+ 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 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (* x (log -1)))) x) |
(/ 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)) |
1/5 |
(+ 1/5 (* 1/3 (pow x 2))) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* -2 x) 2))) |
(+ 1 (* x (- (* x (- (* -2 x) 2)) 2))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)) |
(* x (- (* -2 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)) |
(pow x 2) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(* 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 -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)))) |
(* -1/2 (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)))))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 3)) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (/ 1 (pow x 2))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
3 |
(+ 3 (* 2 (/ 1 x))) |
(+ 3 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 3 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x) |
(* -2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(* -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))))) (log -1)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(+ 3 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 88.0ms | x | @ | inf | ((+ (* (* (+ (* x x) x) 2) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ (* -1/2 (log -1)) (/ 1 x)) (log -1) (/ 1 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/ (+ (* (* x x) 1/3) 1/5) (pow x 5)) (+ (* (* x x) 1/3) 1/5) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (neg (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x)) (/ (* -2 x) (- 1 (* x x))) (* x 2) (* x x) (* (+ (* -2 x) -2) x) (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (neg (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4))))) (* -2 x)) |
| 8.0ms | x | @ | -inf | ((+ (* (* (+ (* x x) x) 2) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ (* -1/2 (log -1)) (/ 1 x)) (log -1) (/ 1 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/ (+ (* (* x x) 1/3) 1/5) (pow x 5)) (+ (* (* x x) 1/3) 1/5) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (neg (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x)) (/ (* -2 x) (- 1 (* x x))) (* x 2) (* x x) (* (+ (* -2 x) -2) x) (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (neg (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4))))) (* -2 x)) |
| 5.0ms | x | @ | 0 | ((+ (* (* (+ (* x x) x) 2) x) (* x 2)) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ (* -1/2 (log -1)) (/ 1 x)) (log -1) (/ 1 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/ (+ (* (* x x) 1/3) 1/5) (pow x 5)) (+ (* (* x x) 1/3) 1/5) (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))))) (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (* 1/2 (neg (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x)) (/ (* -2 x) (- 1 (* x x))) (* x 2) (* x x) (* (+ (* -2 x) -2) x) (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (neg (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4))))) (* -2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 1095 |
| 1 | 747 | 1074 |
| 2 | 1967 | 1060 |
| 3 | 4532 | 1022 |
| 0 | 8301 | 956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 x) |
(* x (+ 2 (* 2 x))) |
(* 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 (+ 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 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(/ 1 x) |
(/ (+ 1 (* -1/2 (* x (log -1)))) x) |
(/ 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)) |
1/5 |
(+ 1/5 (* 1/3 (pow x 2))) |
(* x (+ 2 (* -2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 2)))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* -2 x) 2))) |
(+ 1 (* x (- (* x (- (* -2 x) 2)) 2))) |
(* -2 x) |
(* x (- (* -2 x) 2)) |
(* x (- (* x (- (* -2 x) 2)) 2)) |
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)) |
(* x (- (* -2 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)) |
(pow x 2) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2)) |
(* 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 -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)))) |
(* -1/2 (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)))))) |
(/ 1/3 (pow x 3)) |
(/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 3)) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/5 (/ 1 (pow x 2))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
3 |
(+ 3 (* 2 (/ 1 x))) |
(+ 3 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 3 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
2 |
(+ 2 (* 2 (/ 1 x))) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x) |
(* -2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(- (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(* -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))))) (log -1)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(+ 3 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
| Outputs |
|---|
(* 2 x) |
(*.f32 #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 |
(* 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 (*.f32 x x) #s(literal 1/5 binary32) #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 (+ 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 (* 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) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ (+ 1 (* -1/2 (* x (log -1)))) x) |
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal -1/2 binary32) #s(literal 1 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))) |
1/5 |
#s(literal 1/5 binary32) |
(+ 1/5 (* 1/3 (pow x 2))) |
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) |
(* x (+ 2 (* -2 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (- (* -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)) (*.f32 x x) #s(literal 2 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 x)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* -2 x) 2))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (- (* -2 x) 2)) 2))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) x #s(literal 1 binary32)) |
(* -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 x) 2)) 2)) 2)) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (- (* -2 (pow x 2)) 2)) |
(*.f32 #s(literal -2 binary32) (+.f32 x (pow.f32 x #s(literal 3 binary32)))) |
(* x (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (+.f32 x (pow.f32 x #s(literal 3 binary32)))) x #s(literal -2 binary32)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2)) |
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (+.f32 x (pow.f32 x #s(literal 3 binary32)))) x #s(literal -2 binary32)) x) x #s(literal -2 binary32)) x) |
(pow x 2) |
(*.f32 x x) |
(* x (- (* -2/3 (pow x 2)) 2)) |
(*.f32 (fma.f32 #s(literal -2/3 binary32) (*.f32 x x) #s(literal -2 binary32)) x) |
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 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 (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 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 (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 #s(literal 2 binary32) x #s(literal 2 binary32)) x) x) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 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))) |
(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 (/.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) |
(- (* -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) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x) #s(literal 2 binary32)) |
(* -1/2 (log -1)) |
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) |
(+ (* -1/2 (log -1)) (/ 1 x)) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 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 #s(literal -1/2 binary32) (log.f32 #s(literal -1 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))))) |
(/ 1/3 (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))) |
(* 1/3 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/3 binary32)) |
(* (pow x 2) (+ 1/3 (* 1/5 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 4 binary32) x) #s(literal 2 binary32)) x) x) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 x x)) |
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x)) x) x) |
3 |
#s(literal 3 binary32) |
(+ 3 (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 3 binary32)) |
(+ 3 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 3 binary32)) |
(+ 3 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 (/ 1 x))) |
(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) |
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) |
(-.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)) |
(/ 2 x) |
(/.f32 #s(literal 2 binary32) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 2 binary32) x) x))) x) |
(* -2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal -2 binary32)) |
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 x))))) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) |
(- (log -1) (* 2 (/ 1 x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) |
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)) |
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) x)) |
(* -1 (log -1)) |
(neg.f32 (log.f32 #s(literal -1 binary32))) |
(- (* 2 (/ 1 x)) (log -1)) |
(-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1)) |
(-.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))) |
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1)) |
(-.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))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #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) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) 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 #s(literal -1/2 binary32) (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)))) (/.f32 #s(literal -1 binary32) x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x)) x) x) |
(+ 3 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) |
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) x)) |
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) x) x) #s(literal -2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)) |
(/.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -2 binary32))) x) |
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) x)) |
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1)) |
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 497 |
| 0 | 132 | 497 |
| 1 | 560 | 409 |
| 2 | 4840 | 409 |
| 0 | 8270 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32))))) |
#s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
(fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(log.f32 #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) x) |
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))) |
#s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 x x) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) |
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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 -2 binary32) x) |
| Outputs |
|---|
(*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) x) #s(literal 2 binary32)) (*.f32 (*.f32 x #s(literal 4 binary32)) x)) (/.f32 #s(literal 1 binary32) (*.f32 x (-.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 2 binary32))))) |
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 (fma.f32 x x x) x) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 (*.f32 (*.f32 x #s(literal 4 binary32)) x) (*.f32 (fma.f32 x x x) (*.f32 (*.f32 x #s(literal 4 binary32)) x)))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) |
(*.f32 x (fma.f32 #s(literal 2 binary32) (fma.f32 x x x) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (*.f32 x #s(literal 4 binary32)) x) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) x) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) x))) |
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(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32)))) (log1p.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (log.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32) #s(literal -1 binary32)))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32)))) (log.f32 (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 6 binary32)))) (log.f32 (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)) (+.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 4 binary32))) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log1p.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) |
(-.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) |
(-.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (neg.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
(fma.f32 #s(literal -1 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) |
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) |
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))))) |
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) |
(+.f32 (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) |
(+.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)))) (log1p.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -3 binary32)) #s(literal 8 binary32) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))))) |
(log1p.f32 (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32)))) |
(log1p.f32 (*.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) x))) |
(log1p.f32 (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -2 binary32))) |
(log1p.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) |
(*.f32 (neg.f32 x) #s(literal 2 binary32)) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal -2 binary32) x) |
(*.f32 #s(literal 2 binary32) (neg.f32 x)) |
(*.f32 x #s(literal -2 binary32)) |
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) x)) |
(neg.f32 (*.f32 #s(literal 2 binary32) x)) |
Compiled 23 549 to 3 330 computations (85.9% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 607 | 8 | 615 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 610 | 20 | 630 |
| Status | Accuracy | Program |
|---|---|---|
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 1 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))))))) | |
| 23.9% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| ✓ | 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))))))) | |
| 23.9% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))))))))) | |
| 24.0% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (+.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) x)) #s(literal -2 binary32)))))))) | |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (neg.f32 #s(approx (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (*.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)))) | |
| 92.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| 92.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| ✓ | 92.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
| 79.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| 68.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 #s(approx (* (+ (* -2 x) -2) x) (*.f32 (*.f32 x x) #s(literal -2 binary32))) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) | |
| ✓ | 92.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (+.f32 (*.f32 (*.f32 (fma.f32 x x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
| ✓ | 96.4% | (*.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)))) |
| 96.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) x))))) | |
| ✓ | 5.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
| ✓ | 96.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
| 7.8% | #s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) #s(approx (+ (* -1/2 (log -1)) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) | |
| ✓ | 5.2% | #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
Compiled 1 745 to 757 computations (56.6% saved)
Total -30.8b remaining (-2650.4%)
Threshold costs -30.8b (-2650.4%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) #s(approx (+ (* -1/2 (log -1)) (/ 1 x)) (/.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 #s(approx (log (/ (+ 1 (* (/ (* -2 x) (- 1 (* x x))) (+ 1 x))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))) (*.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)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))) |
#s(approx (* 1/2 (neg (log (/ (+ 1 (* -2 (/ x (- 1 x)))) (- 1 (* (pow (/ x (- 1 x)) 2) 4)))))) (fma.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) (fma.f32 x (fma.f32 x x x) 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 (/ (* 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 (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (- (+ (* (log -1) 1/2) (/ (- (/ 1/5 (* x x)) -1/3) (pow x 3))) (/ -1 x)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
(*.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 x x) #s(literal 2 binary32)) x) (*.f32 x #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #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 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 #s(approx (* (+ (* -2 x) -2) x) (*.f32 (*.f32 x x) #s(literal -2 binary32))) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x) x #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal -2 binary32)) x #s(literal -2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (+.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) x)) #s(literal -2 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 #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 (*.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 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (-.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) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))) (-.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) (neg.f32 (log.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (-.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) (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal -2 binary32)) #s(literal 4 binary32))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(*.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) (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.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) x)) #s(literal -2 binary32)) #s(literal 1 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) (neg.f32 (log.f32 (/.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) #s(literal 1 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) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))))))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -64 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -4 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #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:
| 91.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 52.0ms | x |
| 9.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 9.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.4% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.4% | 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 | 20 | 16 |
| 2 | 27 | 16 |
| 3 | 34 | 16 |
| 4 | 45 | 16 |
| 5 | 62 | 16 |
| 6 | 138 | 16 |
| 7 | 390 | 16 |
| 8 | 4084 | 16 |
| 1× | node limit |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 302 |
| 1 | 312 | 290 |
| 2 | 799 | 282 |
| 3 | 2154 | 280 |
| 4 | 4038 | 280 |
| 5 | 6510 | 280 |
| 0 | 8130 | 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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