
Time bar (total: 5.1s)
| 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)
| 203.0ms | 8 256× | 0 | valid |
ival-atanh: 79.0ms (89.7% of total)ival-true: 6.0ms (6.8% of total)ival-assert: 4.0ms (4.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 49 | 0 | - | 49 | (0.007544509135186672) | (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 | 64 |
| - | 0 | 192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 64 |
| - | 0 | 0 | 192 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 127 to 40 computations (68.5% saved)
ival-mult: 7.0ms (37.1% of total)ival-div: 4.0ms (21.2% of total)ival-log1p: 4.0ms (21.2% of total)ival-sub: 3.0ms (15.9% of total)ival-true: 1.0ms (5.3% of total)exact: 1.0ms (5.3% 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 |
|---|---|---|
| ▶ | 83.1% | (*.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 | 0.0546875 | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.7046083433663397 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 15.0ms | 256× | 0 | valid |
Compiled 76 to 20 computations (73.7% saved)
ival-mult: 3.0ms (33.1% of total)ival-div: 2.0ms (22.1% of total)ival-log1p: 2.0ms (22.1% 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 | |
|---|---|---|---|---|
| 79.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 2.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 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)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 180 | 6 | 186 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 181 | 6 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| 10.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.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))))) | |
| ▶ | 12.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
| ▶ | 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ▶ | 65.3% | (*.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)))))) |
| ▶ | 73.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
| ▶ | 96.3% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Compiled 282 to 164 computations (41.8% saved)
| 1× | egg-herbie |
Found 19 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 | 64 | (*.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 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) | |
| cost-diff | 928 | (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 768 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 0 | (*.f32 #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 | 44 | 491 |
| 0 | 83 | 435 |
| 1 | 157 | 435 |
| 2 | 335 | 429 |
| 3 | 774 | 429 |
| 4 | 2837 | 429 |
| 5 | 5932 | 429 |
| 0 | 8308 | 421 |
| 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 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.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 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x)) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x x)) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 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)))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
(*.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 #s(literal -2 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)))) #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 #s(literal -2 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 #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 #s(literal -2 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 #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 #s(literal -2 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 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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08822250976844201 | (/.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 | 0.10775375976844202 | (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) | |
| accuracy | 3.6648012748044976 | (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 | 16.529951993438903 | (fma.f32 x x x) | |
| accuracy | 0.02734375 | (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| accuracy | 0.09765625 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) | |
| accuracy | 2.9759227015201226 | (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) | |
| accuracy | 3.5071260152275197 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 0.015625 | (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) | |
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 3.709187699465957 | (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))) | |
| accuracy | 28.21317098522138 | (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 4.89614913544062 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 10.014948131277313 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| accuracy | 0.0 | (*.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 | 1.1975734069694433 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 177.0ms | 256× | 0 | valid |
Compiled 1 014 to 91 computations (91% saved)
ival-log1p: 88.0ms (55.1% of total)ival-mult: 43.0ms (26.9% of total)ival-div: 8.0ms (5% of total)ival-sub: 6.0ms (3.8% of total)ival-pow2: 5.0ms (3.1% of total)ival-add: 4.0ms (2.5% of total)ival-pow: 4.0ms (2.5% of total)exact: 1.0ms (0.6% 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) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
(log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 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 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 x x x) |
(pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 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)))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 x))) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 101.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x)) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x)))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 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 (- 1 (* x x))) (* (* 2 (/ x (- 1 (* x x)))) x) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2)) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x)) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x)))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 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 (- 1 (* x x))) (* (* 2 (/ x (- 1 (* x x)))) x) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2)) |
| 3.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (* 1 (* 2 (/ x (- 1 (* x x))))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x)) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (* x x)))) 1) (* (* 2 (/ x (- 1 (* x x)))) x)))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (- 1 x) x) 1) (* x 2)) (* (* 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 (- 1 (* x x))) (* (* 2 (/ x (- 1 (* x x)))) x) (+ (* (- 1 x) x) 1) (+ (* x x) x) (pow (+ (* x x) x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 1179 |
| 1 | 1083 | 1133 |
| 2 | 2778 | 1077 |
| 3 | 6539 | 1071 |
| 0 | 8500 | 1004 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 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)))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 x))) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
2 |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(* (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 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (*.f32 x x) #s(literal 2/5 binary32)) (*.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* 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) |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) (*.f32 x x)) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32))) x) x) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* -1 x)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (* 2 x))) |
(*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 1 binary32)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(*.f32 (*.f32 (fma.f32 (+.f32 x #s(literal 2 binary32)) x #s(literal 1 binary32)) x) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(log -1) |
(log.f32 #s(literal -1 binary32)) |
(+ (log -1) (* 2 (/ 1 x))) |
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 2 binary32) x)) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 #s(literal -1 binary32))) |
-2 |
#s(literal -2 binary32) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 (/.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) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x))) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
2 |
#s(literal 2 binary32) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))) |
(* -2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -2 binary32)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2)) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 2) (+ 2 (* 4 (/ 1 x)))) |
(fma.f32 #s(literal 4 binary32) x (*.f32 (*.f32 x x) #s(literal 2 binary32))) |
(* (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 (fma.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32))) x) x) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) |
(-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(-.f32 x (*.f32 x x)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(pow x 4) |
(pow.f32 x #s(literal 4 binary32)) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 x #s(literal 2 binary32))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 x #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) x) x)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x))) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)) |
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x))))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) x)))) |
(fma.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x) #s(literal -4 binary32)) x (*.f32 (*.f32 x x) #s(literal 2 binary32))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 386 |
| 0 | 83 | 294 |
| 1 | 352 | 236 |
| 2 | 2862 | 236 |
| 0 | 9794 | 236 |
| 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) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
(log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 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 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 x x x) |
(pow.f32 (fma.f32 x x x) #s(literal 2 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 (/.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))) #s(literal -1 binary32)) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) #s(literal -1 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) (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 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)))) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x x) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))) |
(*.f32 (/.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) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x x) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.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) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 x #s(literal 1 binary32)))) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 (neg.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) (fma.f32 x x x)))) |
(*.f32 (/.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 (neg.f32 (-.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 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))))) |
(*.f32 (/.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 x #s(literal 1 binary32))) (/.f32 (-.f32 x #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) |
(*.f32 (/.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) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x x) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (/.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) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))))) |
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(+.f32 (*.f32 (fma.f32 x x x) (*.f32 x x)) (*.f32 (fma.f32 x x x) x)) |
(+.f32 (*.f32 (fma.f32 x x x) x) (*.f32 (fma.f32 x x x) (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) |
Compiled 27 520 to 4 162 computations (84.9% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 843 | 13 | 856 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 846 | 16 | 862 |
| Status | Accuracy | Program |
|---|---|---|
| 25.7% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 40.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| ▶ | 5.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
| ✓ | 12.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| 95.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ✓ | 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ▶ | 95.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
| ▶ | 10.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| 55.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| 65.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 89.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 11.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x))))) | |
| ▶ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| ▶ | 80.9% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Compiled 734 to 465 computations (36.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 128 | (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 832 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) | |
| cost-diff | 64 | (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) | |
| cost-diff | 896 | (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 619 |
| 0 | 97 | 591 |
| 1 | 185 | 549 |
| 2 | 361 | 548 |
| 3 | 1030 | 548 |
| 4 | 3367 | 543 |
| 5 | 6185 | 519 |
| 0 | 8363 | 496 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(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) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(literal 2 binary32) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(neg.f32 x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
x |
#s(literal 2 binary32) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 (*.f32 x x) #s(literal -10/3 binary32) #s(literal 2 binary32)) |
#s(literal -10/3 binary32) |
(*.f32 x x) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x))) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
x |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(literal 2 binary32) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
(*.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(log1p.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x)) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(neg.f32 x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 (log1p.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(log1p.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(fma.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.5938570911283232 | #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) | |
| accuracy | 3.5148736707037007 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) | |
| accuracy | 5.48523391932825 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) | |
| accuracy | 0.01953125 | (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 4.70501337389129 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| accuracy | 7.867131557131991 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 0.015625 | (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) | |
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 7.942816018183238 | (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) | |
| accuracy | 26.38092779334692 | (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) | |
| accuracy | 0.0234375 | (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) | |
| accuracy | 1.0575224033502832 | #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) | |
| accuracy | 18.881102403857746 | (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) | |
| accuracy | 3.741103562233512 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| accuracy | 8.587822916053195 | (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 22.695896874185966 | (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) | |
| accuracy | 23.799132705208784 | (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) |
| 166.0ms | 256× | 0 | valid |
Compiled 1 187 to 112 computations (90.6% saved)
ival-mult: 111.0ms (75.2% of total)ival-add: 10.0ms (6.8% of total)ival-log1p: 7.0ms (4.7% of total)ival-div: 5.0ms (3.4% of total)ival-sub: 4.0ms (2.7% of total)const: 4.0ms (2.7% of total)ival-pow: 4.0ms (2.7% of total)ival-neg: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(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)) |
(fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 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)))))))) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
-2 |
(- (* 2 x) 2) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 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)))))) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (* -1 (/ (- (* -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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* x 2) -2) x) 2) (+ (* x 2) -2) (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) (/ x (- 1 (* x x))) (* (* (/ x (- 1 (* x x))) 2) x) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 2.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* x 2) -2) x) 2) (+ (* x 2) -2) (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) (/ x (- 1 (* x x))) (* (* (/ x (- 1 (* x x))) 2) x) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 2.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) x) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (* (+ (* -10/3 (* x x)) 2) x) (+ (* -10/3 (* x x)) 2) (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* x 2) -2) x) 2) (+ (* x 2) -2) (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) (/ x (- 1 (* x x))) (* (* (/ x (- 1 (* x x))) 2) x) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 340 | 1391 |
| 1 | 1040 | 1327 |
| 2 | 2771 | 1272 |
| 3 | 6726 | 1258 |
| 0 | 8155 | 1196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
2 |
(+ 2 (* -10/3 (pow x 2))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 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)))))))) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
-2 |
(- (* 2 x) 2) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(* -10/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -10/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(* -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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 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)))))) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (* -1 (/ (- (* -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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* 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 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -10/3 (pow x 2))) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 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) |
(* -1 x) |
(neg.f32 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(-.f32 (neg.f32 x) (pow.f32 x #s(literal 3 binary32))) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f32 (-.f32 (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 x x)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f32 (fma.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 x x)) x) x #s(literal -1 binary32)) x) |
(+ 2 (* -2 x)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
-2 |
#s(literal -2 binary32) |
(- (* 2 x) 2) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
(+ 2 (* 2 x)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) x) |
(* (pow x 2) (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) x) |
(* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x) x) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))) |
(* 2 (pow x 4)) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(*.f32 (-.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)) (pow.f32 x #s(literal 4 binary32))) |
(* -10/3 (pow x 3)) |
(*.f32 #s(literal -10/3 binary32) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -10/3 (pow x 2)) |
(*.f32 #s(literal -10/3 binary32) (*.f32 x x)) |
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 10/3)) |
(*.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 10/3 binary32)) x) x) |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 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 (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))) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) x) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* x (- 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(*.f32 (-.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)) (pow.f32 x #s(literal 3 binary32))) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(-.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal 2 binary32)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) |
(-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (-.f32 #s(literal 4/9 binary32) (/.f32 #s(literal 5/81 binary32) x)) x)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x)) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x)) (pow.f32 x #s(literal 4 binary32))) |
(* -1 (* (pow x 3) (- 10/3 (* 2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 #s(literal -10/3 binary32) (/.f32 (/.f32 #s(literal -2 binary32) x) x)) (pow.f32 x #s(literal 3 binary32))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) x) x)) 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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))) x) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 484 |
| 0 | 95 | 464 |
| 1 | 395 | 429 |
| 2 | 2883 | 429 |
| 0 | 9156 | 415 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
#s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) |
(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)) |
(fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) |
| Outputs |
|---|
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(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
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(neg.f32 (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(neg.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) (log.f32 (-.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)))) (log.f32 (-.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))))))) |
(+.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
Compiled 27 238 to 3 345 computations (87.7% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 660 | 13 | 673 |
| Fresh | 0 | 8 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 662 | 27 | 689 |
| Status | Accuracy | Program |
|---|---|---|
| 87.4% | (*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) | |
| 25.7% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 40.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| 11.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) | |
| 6.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x)))) | |
| ▶ | 12.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ✓ | 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ✓ | 95.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
| ▶ | 10.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
| ✓ | 11.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) | |
| 11.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| 78.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ▶ | 82.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
| 64.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 89.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 13.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x))))) | |
| 6.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x))))) | |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (+.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| ▶ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| ▶ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
| ✓ | 80.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Compiled 1 389 to 914 computations (34.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 64 | (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| cost-diff | 128 | (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 160 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| cost-diff | 0 | (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) | |
| cost-diff | 64 | (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) | |
| cost-diff | 96 | (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| cost-diff | 0 | (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 741 |
| 0 | 112 | 712 |
| 1 | 202 | 706 |
| 2 | 380 | 699 |
| 3 | 1045 | 699 |
| 4 | 3364 | 693 |
| 5 | 5994 | 693 |
| 0 | 8245 | 665 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
x |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
#s(literal 2 binary32) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) |
#s(approx (+ (* x 2) -2) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
#s(literal 2 binary32) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(neg.f32 x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
x |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
#s(literal 2 binary32) |
#s(literal -2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) |
#s(approx (+ (* x 2) -2) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(log1p.f32 (*.f32 (fma.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))) |
(fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 x) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
#s(literal 2 binary32) |
(*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
(*.f32 (log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(log1p.f32 (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x)) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32)))) x) |
x |
(*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) |
(*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
#s(literal 1 binary32) |
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(neg.f32 x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(*.f32 (log1p.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(log1p.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
(fma.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
x |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 #s(literal -2 binary32) (fma.f32 x x #s(literal -1 binary32))) x) |
#s(literal 2 binary32) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.5938570911283232 | #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) | |
| accuracy | 3.652964489188155 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) | |
| accuracy | 3.8034507241113333 | (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) | |
| accuracy | 0.01953125 | (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 3.5495210707644933 | (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| accuracy | 7.686524679232859 | (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| accuracy | 30.988128847099414 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) | |
| accuracy | 0.01953125 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 4.274584261698363 | (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) | |
| accuracy | 26.382996690458658 | (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) | |
| accuracy | 30.988128847099414 | #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) | |
| accuracy | 2.69863740870631 | #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) | |
| accuracy | 6.094575160721322 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| accuracy | 6.9999753432244605 | (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 17.501516055590177 | (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 3.627073596141232 | (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))))) | |
| accuracy | 7.863523446176106 | (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 21.288506650048 | (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) | |
| accuracy | 21.70852357878803 | (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
| 147.0ms | 256× | 0 | valid |
Compiled 1 364 to 123 computations (91% saved)
ival-mult: 61.0ms (52.4% of total)ival-add: 16.0ms (13.8% of total)ival-neg: 16.0ms (13.8% of total)ival-div: 7.0ms (6% of total)ival-log1p: 7.0ms (6% of total)ival-sub: 4.0ms (3.4% of total)ival-pow: 4.0ms (3.4% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
#s(approx (+ (* x 2) -2) #s(literal -2 binary32)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 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)))))))) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
-2 |
(- (* 2 x) 2) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(* -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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 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)))))) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (* -1 (/ (- (* -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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* x (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) x) (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (* 2 (neg (/ (neg x) (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2) (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) (+ (* (+ (* x 2) -2) x) 2) (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) (+ (* x 2) -2) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* x (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) x) (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (* 2 (neg (/ (neg x) (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2) (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) (+ (* (+ (* x 2) -2) x) 2) (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) (+ (* x 2) -2) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* x (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2)) (* 1/2 (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3)))))) (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (* (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) x) (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)) (* (/ x (- 1 (* x x))) 2) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) 2) (* (* (/ x (- 1 (* x x))) 2) x)))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x)))))) (/ (neg x) (- 1 (* x x))) (* 2 (neg (/ (neg x) (- 1 (* x x))))) (* 2 (/ x (- 1 (* x x)))) (* 1/2 (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x))))))))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))))) (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) (+ (* (+ (* 2 x) -2) x) 2) (+ (* 2 x) -2) (+ (* (+ (* (+ (* 2 x) -2) x) 2) x) 2) (+ (* (+ (* x 2) -2) x) 2) (+ (* (+ (* (+ (* x 2) -2) x) 2) x) 2) (+ (* x 2) -2) (/ x (- 1 (* x x))) (/ x (- 1 (* x x))) (log (+ 1 (+ (* x (* 2 (/ x (- 1 (* x x))))) (* 1 (* 2 (neg (/ (neg x) (- 1 (* x x))))))))) (* 1 (* 2 (/ x (- 1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 1247 |
| 1 | 1006 | 1191 |
| 2 | 2659 | 1149 |
| 3 | 6611 | 1136 |
| 0 | 8106 | 1079 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(* 2 x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* -2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2)))))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 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)))))))) |
(* -1 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
-2 |
(- (* 2 x) 2) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 2 (pow x 4)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(* -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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(* 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)))))) |
(/ 1 x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(* 2 (pow x 2)) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* x (- 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(+ (* -1 (/ (- (* -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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -5/3 (pow x 2)))) |
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) |
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* -10/3 (pow x 2)))) |
(*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* 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 x) 2)))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 #s(literal 2 binary32) x) x #s(literal 2 binary32))) x) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 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) |
(* -1 x) |
(neg.f32 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(-.f32 (neg.f32 x) (pow.f32 x #s(literal 3 binary32))) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f32 (-.f32 (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 x x)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f32 (fma.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 x x)) x) x #s(literal -1 binary32)) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -2 x)) |
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
-2 |
#s(literal -2 binary32) |
(- (* 2 x) 2) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
(+ 2 (* 2 x)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* -2 x)))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(*.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) x) |
(* 1/2 (log 3)) |
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x)) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)) |
(log 3) |
(log.f32 #s(literal 3 binary32)) |
(- (log 3) (* 2/3 (/ 1 x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x) x) (-.f32 (/.f32 #s(literal 2/3 binary32) x) (log.f32 #s(literal 3 binary32)))) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))) |
(* 2 (pow x 4)) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 2 binary32)) |
(* (pow x 4) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))) |
(* (pow x 4) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(*.f32 (-.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)) (pow.f32 x #s(literal 4 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) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 #s(literal 2 binary32) x) x)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 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 (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))) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(/ (+ 1 (/ 1 (pow x 2))) x) |
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))) x) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 #s(literal 2 binary32) x) x) |
(* (pow x 2) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) x) |
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* x (- 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* (pow x 3) (- 2 (* 2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (- (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))) (* 2 (/ 1 x)))) |
(*.f32 (-.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)) (pow.f32 x #s(literal 3 binary32))) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3))) |
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 (-.f32 #s(literal 4/9 binary32) (/.f32 #s(literal 5/81 binary32) x)) x)) x)) |
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x))) |
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x)) |
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x)) |
(* (pow x 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ 2 (* -1 (/ (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) x)))) |
(*.f32 (-.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)) (pow.f32 x #s(literal 4 binary32))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -2 binary32)) x) x)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) x) x)) 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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) x)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (pow.f32 x #s(literal 4 binary32)))) x) |
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (*.f32 x x)) |
(* -1 (* x (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(* -1 (* (pow x 3) (- (* 2 (/ 1 x)) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2) x)) 2))) |
(*.f32 (-.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)) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 589 |
| 0 | 110 | 560 |
| 1 | 438 | 560 |
| 2 | 3139 | 560 |
| 0 | 8479 | 554 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))) |
(*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))) |
(fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
#s(approx (+ (* x 2) -2) #s(literal -2 binary32)) |
#s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
| Outputs |
|---|
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) x)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1 binary32)) |
(+.f32 #s(literal 0 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(log.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)))) (log.f32 (-.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (-.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))) |
(-.f32 (log1p.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))))) |
(-.f32 (log1p.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (-.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(+.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))))) |
(+.f32 (log1p.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (-.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 2 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) (-.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)))) |
#s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))) |
Compiled 29 968 to 3 324 computations (88.9% saved)
30 alts after pruning (22 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 638 | 10 | 648 |
| Fresh | 4 | 12 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 645 | 30 | 675 |
| Status | Accuracy | Program |
|---|---|---|
| 94.1% | (*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) | |
| 25.7% | (*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) | |
| 11.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) | |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) | |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ✓ | 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ✓ | 95.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
| ✓ | 10.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) | |
| 11.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) | |
| 95.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| ✓ | 77.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
| 77.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))) | |
| 66.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))) | |
| 68.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))) | |
| 12.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) x) #s(literal 2 binary32))))) | |
| 66.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 89.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| 11.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x))))) | |
| 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) | |
| 6.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x))))) | |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (+.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 45.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) | |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
| ✓ | 85.0% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Compiled 2 125 to 849 computations (60% saved)
Total -29.7b remaining (-2477.2%)
Threshold costs -29.7b (-2477.2%)
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))))) (*.f32 (fma.f32 #s(literal -10/3 binary32) (*.f32 x x) #s(literal 2 binary32)) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 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 (*.f32 #s(literal 1 binary32) #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 x (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 (+.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (*.f32 (fma.f32 (fma.f32 #s(approx (+ (* x 2) -2) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* (+ (* (- 1 x) x) 1) (* x 2)) (- 1 (pow x 3))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) x) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) x (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 x #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) #s(approx (/ x (- 1 (* x x))) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) x #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 #s(literal 2 binary32) x) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #s(approx (* 1 (* 2 (/ x (- 1 (* x x))))) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (*.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))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
4 calls:
| 41.0ms | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 11.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 11.0ms | (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | x |
| 96.3% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.3% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.3% | 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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