
Time bar (total: 5.3s)
| 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)
| 364.0ms | 8 256× | 0 | valid |
ival-atanh: 100.0ms (92.6% of total)ival-true: 5.0ms (4.6% of total)ival-assert: 3.0ms (2.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 37 | (0.0018358065281063318) | (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 | 59 |
| - | 0 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 59 |
| - | 0 | 0 | 197 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 89.0ms | 512× | 0 | valid |
Compiled 92 to 31 computations (66.3% saved)
ival-mult: 65.0ms (84.3% of total)ival-div: 4.0ms (5.2% of total)ival-log1p: 4.0ms (5.2% of total)ival-sub: 3.0ms (3.9% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 9 | 10 |
| 0 | 15 | 10 |
| 1 | 24 | 10 |
| 2 | 32 | 10 |
| 3 | 47 | 10 |
| 4 | 70 | 10 |
| 5 | 104 | 10 |
| 6 | 132 | 10 |
| 0 | 132 | 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 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) #s(literal 1/2 binary32)) |
Compiled 10 to 9 computations (10% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.6% | (*.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 | 32 | 35 |
| 3 | 47 | 35 |
| 4 | 70 | 35 |
| 5 | 104 | 35 |
| 6 | 132 | 35 |
| 0 | 132 | 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 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) #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 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x) |
(*.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 | 2.240798411109964 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 15.0ms | 256× | 0 | valid |
Compiled 41 to 11 computations (73.2% saved)
ival-mult: 3.0ms (33.8% of total)ival-div: 2.0ms (22.5% of total)ival-log1p: 2.0ms (22.5% of total)ival-sub: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 302 |
| 1 | 386 | 291 |
| 2 | 1315 | 282 |
| 3 | 5633 | 282 |
| 0 | 8077 | 262 |
| 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 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 #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 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))) x) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 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 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #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 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 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 (/.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) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x) #s(literal 2 binary32)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) x) x) #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 (/.f32 #s(literal -2/5 binary32) (*.f32 x x)) #s(literal -2/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x) #s(literal 2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 53 | 28 |
| 2 | 329 | 28 |
| 3 | 4555 | 28 |
| 0 | 8472 | 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 |
|---|
(log.f32 (sqrt.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32)))) |
(*.f32 #s(literal 1/4 binary32) (log.f32 (pow.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (log.f32 (exp.f32 #s(literal 1/2 binary32)))) |
(*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log.f32 (sinh.f32 (acosh.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (sqrt.f32 (expm1.f32 (-.f32 (log.f32 (*.f32 #s(literal -2 binary32) x)) (log1p.f32 x)))))) |
(-.f32 (log.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32))))) (log.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log.f32 (sqrt.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal -1 binary32)))) (log.f32 (sqrt.f32 (fma.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 -1 binary32))))) |
(-.f32 (log.f32 (sin.f32 (acos.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (*.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))) |
(-.f32 (log.f32 (sqrt.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 (fma.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 1 binary32))))) |
(fma.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(fma.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
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(+.f32 (cosh.f32 (log.f32 (*.f32 #s(literal -2 binary32) x))) (sinh.f32 (log.f32 (*.f32 #s(literal -2 binary32) x)))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x)) (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) x) (*.f32 (*.f32 #s(literal -2 binary32) x) x)) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 0 binary32)))) |
(+.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) x)) (*.f32 (neg.f32 x) (*.f32 #s(literal -2 binary32) x))) |
(+.f32 (*.f32 x (*.f32 #s(literal -2 binary32) x)) (*.f32 x (*.f32 #s(literal -2 binary32) x))) |
(+.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) |
(+.f32 (neg.f32 x) (neg.f32 x)) |
(+.f32 x x) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) x)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) x)) #s(literal 3/2 binary32))) |
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) x))) |
(neg.f32 (*.f32 #s(literal -2 binary32) x)) |
Compiled 6 994 to 1 525 computations (78.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 342 | 6 | 348 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 343 | 6 | 349 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
| 11.3% | (*.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))))) | |
| ▶ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| ▶ | 64.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
| ▶ | 96.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
| ▶ | 96.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Compiled 246 to 158 computations (35.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| cost-diff | 0 | (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) | |
| cost-diff | 0 | (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 1 | (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 2 | (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (/.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))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 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))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 1 | (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 386 |
| 0 | 74 | 380 |
| 1 | 128 | 378 |
| 2 | 289 | 378 |
| 3 | 780 | 378 |
| 4 | 2407 | 378 |
| 5 | 5713 | 378 |
| 0 | 8426 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 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) |
(-.f32 #s(literal 1 binary32) x) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.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 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.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)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) x (/.f32 x (-.f32 #s(literal 1 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))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) x (/.f32 x (-.f32 #s(literal 1 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) |
(-.f32 #s(literal 1 binary32) x) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 (/.f32 (+.f32 #s(literal -1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) x (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (+.f32 #s(literal -1 binary32) x) x #s(literal -1 binary32)) x) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.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)) x) (/.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)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.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)) x) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.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)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) | |
| accuracy | 0.0625 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) | |
| accuracy | 2.0221268435874666 | (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) | |
| accuracy | 2.053120185434134 | (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))) | |
| accuracy | 0.0234375 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.04296875 | (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.0546875 | (/.f32 x (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.0234375 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.0546875 | (/.f32 x (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 22.797556653688712 | (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0.7020840840168054 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) | |
| accuracy | 2.0433236414089335 | (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) | |
| accuracy | 2.0453059815488923 | (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) | |
| accuracy | 2.0604737022271933 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) | |
| accuracy | 0.0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.9271341816890943 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
| 68.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 0 | invalid |
Compiled 378 to 38 computations (89.9% saved)
ival-mult: 19.0ms (35.6% of total)ival-div: 9.0ms (16.9% of total)ival-sub: 7.0ms (13.1% of total)ival-log1p: 7.0ms (13.1% of total)ival-add: 5.0ms (9.4% of total)ival-pow: 4.0ms (7.5% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.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 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* 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 x))) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
(* x (+ 2 (* -2 x))) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 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 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)) |
(* 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)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(* x (+ 1 (pow x 3))) |
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3))))) |
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) 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 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) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (/ (- (* -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)) |
(+ (* -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 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x))) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x))))) (/ x (- 1 (* x x))) (neg (/ x (- 1 (* x x)))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (* 1/2 (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3)))))))) (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))))) (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))) (+ (* (- 1 x) x) 1) (+ (* (+ (* 2 x) 2) x) 2) (+ (* 2 x) 2) (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (/ x (- 1 (pow x 3)))) |
| 4.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x))) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x))))) (/ x (- 1 (* x x))) (neg (/ x (- 1 (* x x)))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (* 1/2 (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3)))))))) (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))))) (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))) (+ (* (- 1 x) x) 1) (+ (* (+ (* 2 x) 2) x) 2) (+ (* 2 x) 2) (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (/ x (- 1 (pow x 3)))) |
| 4.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* 2 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* (+ (* 2 x) 2) x) 2) x) (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x))) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x))))) (/ x (- 1 (* x x))) (neg (/ x (- 1 (* x x)))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (* 1/2 (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3)))))))) (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))))) (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))) (+ (* (- 1 x) x) 1) (+ (* (+ (* 2 x) 2) x) 2) (+ (* 2 x) 2) (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (/ x (- 1 (pow x 3)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 1585 |
| 1 | 1583 | 1513 |
| 2 | 5371 | 1500 |
| 0 | 8158 | 1435 |
| 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 (* -1 x))) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
(* x (+ 2 (* -2 x))) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 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 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)) |
(* 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)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1 x)))) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(* x (+ 1 (pow x 3))) |
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3))))) |
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) 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 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) |
(* 1/2 (log 3)) |
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x))) |
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3))) |
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(log 3) |
(- (log 3) (* 2/3 (/ 1 x))) |
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x))) |
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x)))) |
(- 2 (* 2 (/ 1 x))) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(* -1 (/ (- (* -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)) |
(+ (* -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 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(fma.f32 (pow.f32 x #s(literal 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 (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 x x) #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) x #s(literal 2 binary32)) x) |
(* x (+ 1 (* -1 x))) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/3 binary32) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal 7/3 binary32)) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x) |
(* x (+ 2 (* -2 x))) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 14/3 binary32) x) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 14/3 binary32)) x) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 1 (pow x 2))) |
(+.f32 (pow.f32 x #s(literal 3 binary32)) x) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(fma.f32 (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))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) x #s(literal 1 binary32)) x) |
(* -1 x) |
(neg.f32 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) x) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 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)) (-.f32 (*.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)) (-.f32 (*.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 (-.f32 (*.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 (-.f32 (*.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 (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) 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)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 x)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f32 (fma.f32 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(fma.f32 (fma.f32 (fma.f32 x x x) x x) x x) |
(* x (- x 1)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(*.f32 (-.f32 (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* x (+ 1 (pow x 3))) |
(+.f32 (pow.f32 x #s(literal 4 binary32)) x) |
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3))))) |
(+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 7 binary32))) x) |
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3))))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 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 (/.f32 (/.f32 #s(literal 1/3 binary32) x) x) #s(literal 1 binary32)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) x) x) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 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 (/.f32 (/.f32 #s(literal 2/3 binary32) x) x) #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 (/.f32 (/.f32 #s(literal 2/3 binary32) x) x) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 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 (/.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 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #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 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) (pow.f32 x #s(literal 3 binary32))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(+.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) #s(literal 2 binary32)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal -1 binary32) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32))) x) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 7/3 binary32) x) #s(literal -1 binary32) #s(literal -1 binary32)) x) #s(literal 1 binary32)) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4 binary32) x) #s(literal -1 binary32) #s(literal -7/3 binary32)) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 14/3 binary32) x) #s(literal 2 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 14/3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32) #s(literal -1 binary32)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32) #s(literal -1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32) #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) |
(/ 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 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) x) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) 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 (fma.f32 (/.f32 #s(literal 4/9 binary32) x) #s(literal -1 binary32) #s(literal -1/3 binary32)) 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 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 4/9 binary32) x) #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 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal -10/81 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x)) |
(- 2 (* 2 (/ 1 x))) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) |
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))) |
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) |
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) |
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) |
(*.f32 (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) x) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 x))) |
(+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) |
(- (/ 1 x) 1) |
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(+.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(/ -1 (pow x 2)) |
(/.f32 #s(literal -1 binary32) (*.f32 x x)) |
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2))) |
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32)) x) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 x x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal -1 binary32)) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32))) (*.f32 x 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 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/3 binary32)) x) x) #s(literal 1 binary32)) (neg.f32 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (*.f32 x x)) #s(literal 2/3 binary32)) x) #s(literal -2 binary32)) x)) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) #s(literal 2 binary32)) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (+.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -2 binary32) (*.f32 x x))) #s(literal 2 binary32)) (neg.f32 x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 7/3 binary32) x) #s(literal 1 binary32)) x) #s(literal -1 binary32) #s(literal -1 binary32)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4 binary32) x) #s(literal -1 binary32) #s(literal -7/3 binary32)) x) #s(literal 1 binary32)) x)) (neg.f32 x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 14/3 binary32) x) #s(literal 2 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 14/3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x)) (neg.f32 x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(/.f32 (fma.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x) #s(literal -1 binary32) #s(literal -1 binary32)) x) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (fma.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) x) x) #s(literal -1 binary32) #s(literal -1 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32) #s(literal -1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1 binary32) #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32))) (neg.f32 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 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)) (neg.f32 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 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) |
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2)) |
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 315 |
| 0 | 74 | 309 |
| 1 | 289 | 307 |
| 2 | 2194 | 307 |
| 0 | 8479 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.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 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
| Outputs |
|---|
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(sqrt.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x))) |
(/.f32 (fabs.f32 (-.f32 (*.f32 x x) (*.f32 x x))) (fabs.f32 (-.f32 x x))) |
(/.f32 (fabs.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fabs.f32 (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x))))) |
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x)) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x)))) |
(fma.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x))) (sqrt.f32 (neg.f32 x)) x) |
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 x))) (sqrt.f32 (neg.f32 (neg.f32 x))) x) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
(fma.f32 x #s(literal 1 binary32) x) |
(fma.f32 #s(literal 1 binary32) x x) |
(fabs.f32 (*.f32 #s(literal -2 binary32) x)) |
(fabs.f32 (*.f32 x #s(literal 2 binary32))) |
(+.f32 x x) |
(log.f32 (sqrt.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(+.f32 (log.f32 (pow.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1/4 binary32))) (log.f32 (pow.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1/4 binary32)))) |
(log.f32 (+.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (-.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))))) |
(-.f32 (log1p.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
(*.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(*.f32 x (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) x) (-.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) |
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(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32)))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) (-.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) x)) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (fma.f32 x #s(literal 2 binary32) #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 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)) |
(*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32))) (*.f32 (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 x x))) (-.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) |
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 4 binary32)) (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32))) |
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (*.f32 x #s(literal 4 binary32))))) |
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) x)) |
(fma.f32 (sqrt.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x))) (sqrt.f32 (neg.f32 x)) (+.f32 x #s(literal 2 binary32))) |
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 x))) (sqrt.f32 (neg.f32 (neg.f32 x))) (+.f32 x #s(literal 2 binary32))) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (+.f32 x #s(literal 2 binary32))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x #s(literal 2 binary32))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(fma.f32 x #s(literal 1 binary32) (+.f32 x #s(literal 2 binary32))) |
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) |
(fma.f32 #s(literal 1 binary32) x (+.f32 x #s(literal 2 binary32))) |
(+.f32 (+.f32 #s(literal 2 binary32) x) x) |
(+.f32 (/.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32))))) (/.f32 #s(literal 8 binary32) (fma.f32 (*.f32 x #s(literal 4 binary32)) x (-.f32 #s(literal 4 binary32) (*.f32 x #s(literal 4 binary32)))))) |
(+.f32 (*.f32 x #s(literal 2 binary32)) #s(literal 2 binary32)) |
(+.f32 x (+.f32 x #s(literal 2 binary32))) |
(+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 x #s(literal 1 binary32))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x))) |
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x)))) (+.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(/.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (neg.f32 x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (neg.f32 x)) (*.f32 (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) x) (*.f32 (+.f32 (fma.f32 x x x) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) (+.f32 (fma.f32 x x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 x)) (*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32)))) |
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) |
(neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.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 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(neg.f32 (/.f32 x (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
Compiled 15 112 to 2 479 computations (83.6% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 16 | 474 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 463 | 17 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 64.4% | (*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) | |
| 96.2% | (*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) | |
| ▶ | 14.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| 14.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 #s(approx (/ x (- 1 (* x x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x))) (-.f32 #s(literal 1 binary32) x))))) | |
| 94.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) | |
| 89.7% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) | |
| 26.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) | |
| ▶ | 3.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| 64.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))))) | |
| 90.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) | |
| 96.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32)))))) | |
| ▶ | 93.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
| ▶ | 96.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))) |
| 89.4% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))))) (*.f32 (fma.f32 (-.f32 (*.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))) | |
| 3.8% | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 7/3 binary32) x) #s(literal 1 binary32)) x) #s(literal -1 binary32) #s(literal -1 binary32)) x)) | |
| ▶ | 93.0% | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
Compiled 865 to 581 computations (32.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 1 | (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) | |
| cost-diff | 1 | (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 1 | (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 1 | (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 2 | (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)) | |
| cost-diff | 0 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) | |
| cost-diff | 1 | (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) x) | |
| cost-diff | 0 | (*.f32 (-.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) | |
| cost-diff | 0 | (+.f32 x x) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x)) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 436 |
| 0 | 92 | 433 |
| 1 | 158 | 428 |
| 2 | 391 | 428 |
| 3 | 1261 | 423 |
| 4 | 3470 | 423 |
| 5 | 6738 | 422 |
| 0 | 8498 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x)) |
(+.f32 x x) |
x |
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)) |
(*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x) |
(+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(neg.f32 x) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(fma.f32 x x #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x 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 x x)) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) |
(+.f32 x x) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) |
(*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #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)) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (fma.f32 (+.f32 #s(literal -1 binary32) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (fma.f32 (+.f32 #s(literal -1 binary32) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 (+.f32 #s(literal -1 binary32) x) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
#s(literal 1 binary32) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (/.f32 (+.f32 #s(literal -1 binary32) x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(neg.f32 x) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(fma.f32 x x #s(literal 1 binary32)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) | |
| accuracy | 0.0546875 | (/.f32 x (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 7.935498841090447 | (fma.f32 x x #s(literal 1 binary32)) | |
| accuracy | 0.0234375 | (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.04296875 | (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 30.74608713323053 | #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) | |
| accuracy | 0.05859375 | (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x) | |
| accuracy | 0.7020840840168054 | #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)) | |
| accuracy | 2.0433236414089335 | (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) | |
| accuracy | 2.0604737022271933 | (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) x) | |
| accuracy | 0.046875 | (*.f32 (-.f32 #s(literal 1 binary32) x) x) | |
| accuracy | 1.1755950721527706 | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) | |
| accuracy | 0.0 | (+.f32 x x) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))) | |
| accuracy | 0.9271341816890943 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x)) |
| 134.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 0 | invalid |
Compiled 389 to 45 computations (88.4% saved)
ival-div: 47.0ms (39.6% of total)ival-mult: 31.0ms (26.1% of total)ival-add: 20.0ms (16.8% of total)ival-log1p: 7.0ms (5.9% of total)ival-sub: 6.0ms (5% of total)ival-pow: 4.0ms (3.4% of total)ival-neg: 2.0ms (1.7% of total)exact: 1.0ms (0.8% 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 x x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x)) |
(+.f32 x x) |
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(-.f32 #s(literal 1 binary32) x) |
(+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(fma.f32 x x #s(literal 1 binary32)) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) |
(* 2 x) |
(* x (+ 2 (* 2/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* -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)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* -2 x))) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(+ 1 (pow x 2)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
-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 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 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 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 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) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 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 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -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)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(* -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 | @ | 0 | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ x x) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (* (- 1 x) x) (- 1 x) (+ (* (+ (* x 2) 2) x) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (neg (/ x (- 1 (* x x)))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x))) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)))))) (+ (* x 2) 2) (* (+ (* (+ (* x 2) 2) x) 2) x) (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (/ x (- 1 (* x x))) (+ (* x x) 1) (log (+ 1 (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x))))) (/ x (- 1 x))) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ x x) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (* (- 1 x) x) (- 1 x) (+ (* (+ (* x 2) 2) x) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (neg (/ x (- 1 (* x x)))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x))) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)))))) (+ (* x 2) 2) (* (+ (* (+ (* x 2) 2) x) 2) x) (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (/ x (- 1 (* x x))) (+ (* x x) 1) (log (+ 1 (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x))))) (/ x (- 1 x))) |
| 2.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (+ x x) (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (* (- 1 x) x) (- 1 x) (+ (* (+ (* x 2) 2) x) 2) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (neg (/ x (- 1 (* x x)))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x))) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)))))) (+ (* x 2) 2) (* (+ (* (+ (* x 2) 2) x) 2) x) (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (/ x (- 1 (* x x))) (+ (* x x) 1) (log (+ 1 (- (/ x (- 1 x)) (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x))))) (/ x (- 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 1202 |
| 1 | 1130 | 1159 |
| 2 | 3825 | 1132 |
| 0 | 8848 | 1081 |
| 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 (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(* x (+ 2 (* 2 x))) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(* -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)) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 2 (* -2 x))) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* x (+ 1 (pow x 2))) |
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2))))) |
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))) |
(+ 1 (pow x 2)) |
(* 1/2 (log -1)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(log -1) |
(+ (log -1) (* 2 (/ 1 x))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
-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 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 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 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
-1 |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 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) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 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 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(* -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)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(* -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 (+ 1 (* -1 x))) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/3 binary32) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal 7/3 binary32)) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 x)) |
(-.f32 #s(literal 1 binary32) x) |
2 |
#s(literal 2 binary32) |
(+ 2 (* 2 x)) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) |
(* x (+ 2 (* 2 x))) |
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* 2 x))))) |
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* -1 x) |
(neg.f32 x) |
(* x (- (* -1 (pow x 2)) 1)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) x) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(* x (+ 2 (* 2 (pow x 2)))) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32)) x) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal 2 binary32)) x) x #s(literal 2 binary32)) 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 (- (* 14/3 x) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 14/3 binary32) x) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 14/3 binary32)) x) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (- x 1)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(*.f32 (-.f32 (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f32 (fma.f32 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(fma.f32 (fma.f32 (fma.f32 x x x) x x) x 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))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) x #s(literal 1 binary32)) x) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(* 1/2 (log -1)) |
(*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(+ (* 1/2 (log -1)) (/ 1 x)) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 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 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #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 (/.f32 #s(literal 2/3 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32)))) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -7/3 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4 binary32) x) #s(literal -1 binary32) #s(literal -7/3 binary32)) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x) |
(* x (- (/ 1 x) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) |
(* 2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 2 binary32)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) x) |
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (*.f32 x x) #s(literal 2 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 (/.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 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x) #s(literal 2 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 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) 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 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal -2 binary32)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x) |
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal -2 binary32))) 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) (*.f32 x x)) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) x) x) #s(literal 2 binary32))) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -14/3 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 14/3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x) #s(literal 2 binary32)) x) |
-1 |
#s(literal -1 binary32) |
(- (/ 1 x) 1) |
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(+.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) |
(* 2 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32)) |
(* (pow x 3) (+ 2 (* 2 (/ 1 x)))) |
(*.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 3) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) |
(*.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) (*.f32 x x) #s(literal 2 binary32)) x) |
(* -1 (+ 1 (/ 1 x))) |
(+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) |
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) |
(+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(/ (- (* -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) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 x x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) (neg.f32 x))) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) (*.f32 x x)) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal -2 binary32)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -7/3 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4 binary32) x) #s(literal -1 binary32) #s(literal -7/3 binary32)) x) #s(literal 1 binary32)) x)) (neg.f32 x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))) |
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) |
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal -2 binary32)) x) #s(literal 2 binary32)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 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))) (neg.f32 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 (/.f32 #s(literal -2 binary32) (*.f32 x x)) #s(literal -2 binary32))) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (+.f32 (-.f32 (+.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)))) (/.f32 #s(literal -2 binary32) (*.f32 x x))) #s(literal 2 binary32)) (neg.f32 x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -14/3 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 14/3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x)) (neg.f32 x)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2))) |
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x)) x) #s(literal 2 binary32))) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) |
(+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) x)) |
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) |
(/.f32 (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 375 |
| 0 | 92 | 351 |
| 1 | 351 | 306 |
| 2 | 3048 | 306 |
| 0 | 8222 | 295 |
| 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 x x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x)) |
(+.f32 x x) |
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(-.f32 #s(literal 1 binary32) x) |
(+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x))) |
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
(fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) |
(*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(fma.f32 x x #s(literal 1 binary32)) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
| Outputs |
|---|
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal -2 binary32) x)) #s(literal 1/2 binary32)) |
(*.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 (fabs.f32 (fma.f32 x x x)) #s(literal 2 binary32)) |
(*.f32 (fabs.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 x #s(literal 3 binary32))) |
(*.f32 (fabs.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 x x)) |
(*.f32 (fabs.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (fabs.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))) x) |
(*.f32 (fabs.f32 (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 3/2 binary32)) (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 #s(literal 8 binary32) #s(literal 3/2 binary32)) (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(*.f32 (pow.f32 #s(literal -2 binary32) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 #s(literal 4 binary32) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 3/2 binary32)) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3/2 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3/2 binary32)) (pow.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3/2 binary32)) (pow.f32 #s(literal 8 binary32) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 x) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 3/2 binary32)) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal -2 binary32) x)) |
(*.f32 (pow.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 9 binary32))) |
(*.f32 (pow.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32))) |
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(fma.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x)) |
(fma.f32 #s(literal 2 binary32) (neg.f32 x) (*.f32 #s(literal -2 binary32) x)) |
(fma.f32 #s(literal 2 binary32) x (*.f32 #s(literal -2 binary32) x)) |
(fma.f32 #s(literal 1 binary32) x x) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 5 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 9/2 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 9 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 3/2 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 6 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 3 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 4 binary32)) |
(pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) |
(fabs.f32 (*.f32 #s(literal -2 binary32) x)) |
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(+.f32 (neg.f32 x) (neg.f32 x)) |
(+.f32 x x) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) x)) #s(literal 3/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal -2 binary32) x)) #s(literal 2 binary32))) |
(exp.f32 (log.f32 (*.f32 #s(literal -2 binary32) x))) |
(neg.f32 (*.f32 #s(literal -2 binary32) x)) |
(hypot.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))) |
(hypot.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 x)) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 (neg.f32 x))) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(hypot.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal -2 binary32) x)) |
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (/.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (/.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) |
(fma.f32 (fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x))) x #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 x (fabs.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x x)) |
(log.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log.f32 (+.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (-.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(-.f32 (log1p.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))) (log.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))) |
(-.f32 (log1p.f32 (pow.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32))) (log1p.f32 (*.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (-.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32))))) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 x #s(literal 1 binary32))) |
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x))))) |
(/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 x (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x))) |
Compiled 31 783 to 4 680 computations (85.3% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 023 | 10 | 1 033 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 030 | 20 | 1 050 |
| Status | Accuracy | Program |
|---|---|---|
| 4.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))))) | |
| 95.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))))) | |
| 15.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) | |
| ✓ | 13.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| 13.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 #s(approx (/ x (- 1 (* x x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x))) (-.f32 #s(literal 1 binary32) x))))) | |
| 94.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) | |
| 90.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) | |
| ▶ | 95.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
| ▶ | 26.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| ▶ | 3.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
| 64.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))))) | |
| 91.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) | |
| 96.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32)))))) | |
| ✓ | 93.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
| 7.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 #s(literal 4 binary32) (*.f32 x x) (*.f32 #s(literal -2 binary32) x)))) | |
| 7.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal -2 binary32) x)))) | |
| ▶ | 28.2% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
| ✓ | 93.0% | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
| ▶ | 96.6% | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
Compiled 1 050 to 657 computations (37.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) | |
| cost-diff | 1 | (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 2 | (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) | |
| cost-diff | 2 | (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 1 | (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 2 | (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) | |
| cost-diff | 0 | (/.f32 x (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) | |
| cost-diff | 0 | (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) | |
| cost-diff | 0 | (*.f32 x #s(literal 4 binary32)) | |
| cost-diff | 0 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32))) | |
| cost-diff | 0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) | |
| cost-diff | 0 | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 677 |
| 0 | 113 | 674 |
| 1 | 187 | 663 |
| 2 | 398 | 657 |
| 3 | 966 | 657 |
| 4 | 2588 | 637 |
| 5 | 5687 | 610 |
| 0 | 8152 | 593 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
(*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) |
#s(approx (- 1 x) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32))) |
(*.f32 x #s(literal 4 binary32)) |
x |
#s(literal 4 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
(-.f32 x #s(literal 1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
(*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)) |
#s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) |
(-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) |
(-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) |
(*.f32 (neg.f32 x) x) |
(neg.f32 x) |
#s(literal 1 binary32) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 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 (fma.f32 x x x) #s(literal 1 binary32)) |
(fma.f32 x x x) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
(*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) |
#s(approx (- 1 x) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
x |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 4 binary32) x)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 4 binary32) x)) |
(*.f32 x #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) x) |
x |
#s(literal 4 binary32) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(*.f32 (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
x |
(-.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
(-.f32 x #s(literal 1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (fma.f32 (+.f32 #s(literal -1 binary32) x) #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (fma.f32 (+.f32 #s(literal -1 binary32) x) #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))))) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 (+.f32 #s(literal -1 binary32) x) #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)))) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
x |
(*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)) |
#s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) |
#s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) |
(-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) |
(*.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) (*.f32 x x)) |
(-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) |
(-.f32 (*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) #s(literal 1 binary32)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) |
(*.f32 (-.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) x) x) |
(-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) |
(*.f32 (neg.f32 x) x) |
(neg.f32 x) |
#s(literal 1 binary32) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (log1p.f32 (fma.f32 (/.f32 x (-.f32 (neg.f32 x) #s(literal 1 binary32))) #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 x x x) x x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
(log1p.f32 (fma.f32 (/.f32 x (-.f32 (neg.f32 x) #s(literal 1 binary32))) #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 x x x) x x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 (/.f32 x (-.f32 (neg.f32 x) #s(literal 1 binary32))) #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 x x x) x 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)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
(/.f32 (fma.f32 (fma.f32 x x x) x x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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 (fma.f32 x x x) #s(literal 1 binary32)) |
(fma.f32 x x x) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 x (-.f32 (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 x (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.05859375 | (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 11.707357731090495 | (fma.f32 x x x) | |
| accuracy | 0.06640625 | (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) | |
| accuracy | 0.2511058339254968 | #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 30.74608713323053 | #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) | |
| accuracy | 0.046875 | (*.f32 (-.f32 x #s(literal 1 binary32)) x) | |
| accuracy | 0.0546875 | (/.f32 x (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 1.0658163865182575 | #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) | |
| accuracy | 2.0598316924477857 | (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) | |
| accuracy | 0.0 | (*.f32 x #s(literal 4 binary32)) | |
| accuracy | 0.0 | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) | |
| accuracy | 22.8039841154924 | #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32))) | |
| accuracy | 0.046875 | (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) | |
| accuracy | 1.1755950721527706 | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) | |
| accuracy | 2.0537685383829345 | #s(approx (- 1 x) #s(literal 1 binary32)) |
| 168.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 0 | invalid |
Compiled 524 to 50 computations (90.5% saved)
ival-sub: 48.0ms (37.7% of total)ival-pow: 28.0ms (22% of total)ival-mult: 24.0ms (18.8% of total)ival-div: 12.0ms (9.4% of total)ival-log1p: 7.0ms (5.5% of total)ival-add: 5.0ms (3.9% of total)ival-neg: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
(*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) |
#s(approx (- 1 x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32))) |
(*.f32 x #s(literal 4 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
#s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
#s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) |
(fma.f32 x x x) |
(log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
1 |
(+ 1 (* -1 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)))))))) |
(* 4 x) |
(* x (+ 2 (* -2 x))) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (pow x 2)) 1)) |
(* -1 x) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(* 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)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) 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 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(* -1 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))) |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(/ 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) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(* -1 (* x (- 1 (/ 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)) (/ 14/3 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(* -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 x) (/ 1 (pow x 2)))) x)) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(* -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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (* (- 1 x) x) (- 1 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* x 4) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (/ x (- 1 x)) (* (- (* (neg x) x) 1) (* x x)) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (neg (/ x (- 1 (* x x)))) (- (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (* (- x 1) x) (/ x (- 1 x)) (neg (/ x (- 1 (* x x)))) (* (- (* (- (* (neg x) x) 1) (* x x)) 1) (* x x)) (+ (* x x) x) (log (+ 1 (- (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) |
| 3.0ms | x | @ | inf | ((* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (* (- 1 x) x) (- 1 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* x 4) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (/ x (- 1 x)) (* (- (* (neg x) x) 1) (* x x)) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (neg (/ x (- 1 (* x x)))) (- (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (* (- x 1) x) (/ x (- 1 x)) (neg (/ x (- 1 (* x x)))) (* (- (* (- (* (neg x) x) 1) (* x x)) 1) (* x x)) (+ (* x x) x) (log (+ 1 (- (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) |
| 2.0ms | x | @ | -inf | ((* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (* (- 1 x) x) (- 1 x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (* x 4) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (/ x (- 1 x)) (* (- (* (neg x) x) 1) (* x x)) (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* 1/2 (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) (log (+ 1 (- (/ x (- 1 x)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))))) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (neg (/ x (- 1 (* x x)))) (- (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x))) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (* (- x 1) x) (/ x (- 1 x)) (neg (/ x (- 1 (* x x)))) (* (- (* (- (* (neg x) x) 1) (* x x)) 1) (* x x)) (+ (* x x) x) (log (+ 1 (- (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (* (neg (/ x (- 1 (* x x)))) (- 1 x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 983 |
| 1 | 998 | 958 |
| 2 | 3165 | 927 |
| 0 | 8598 | 896 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
1 |
(+ 1 (* -1 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)))))))) |
(* 4 x) |
(* x (+ 2 (* -2 x))) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(* x (+ 2 (* 2 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))) |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (pow x 2)) 1)) |
(* -1 x) |
(* x (- x 1)) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(* 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)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 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 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) 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 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(* -1 (pow x 4)) |
(* -1 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))) |
(- (/ 1 x) 1) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(/ 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) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 (pow x 6)) |
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(* -1 (* x (- 1 (/ 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)) (/ 14/3 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(* -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 x) (/ 1 (pow x 2)))) x)) 1) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(* -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)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 x))) |
(*.f32 (-.f32 #s(literal 1 binary32) x) x) |
(* x (+ 1 (* x (- (* 7/3 x) 1)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/3 binary32) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x) |
(* x (+ 1 (* x (- (* x (+ 7/3 (* -4 x))) 1)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4 binary32) x #s(literal 7/3 binary32)) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 x)) |
(-.f32 #s(literal 1 binary32) 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 #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) |
(* 4 x) |
(*.f32 #s(literal 4 binary32) x) |
(* x (+ 2 (* -2 x))) |
(*.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (- (* 14/3 x) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 14/3 binary32) x) #s(literal 2 binary32)) x #s(literal 2 binary32)) x) |
(* x (+ 2 (* x (- (* x (+ 14/3 (* -8 x))) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -8 binary32) x #s(literal 14/3 binary32)) x) #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 x x) #s(literal 2 binary32) #s(literal 2 binary32))) x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 (* x (+ 1 x)))) |
(fma.f32 (fma.f32 x x x) x x) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
(fma.f32 (fma.f32 (fma.f32 x x x) x x) x x) |
(* -1 (pow x 2)) |
(*.f32 (neg.f32 x) x) |
(* (pow x 2) (- (* -1 (pow x 2)) 1)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) |
(* -1 x) |
(neg.f32 x) |
(* x (- x 1)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
(* x (- (* x (+ 1 (* -1 x))) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) |
(* x (- (* x (+ 1 (* x (- x 1)))) 1)) |
(*.f32 (-.f32 (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* x (- (* -1 (pow x 2)) 1)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) x) |
(* x (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x) |
(/ (- (* -1 (/ (+ 1 (* 7/3 (/ 1 x))) x)) 1) x) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -7/3 binary32) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) x) |
(/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4 binary32) x) #s(literal -1 binary32) #s(literal -7/3 binary32)) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x) |
(* x (- (/ 1 x) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 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 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) |
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)) x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 5 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 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) 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 binary32) (/.f32 #s(literal 2/3 binary32) (*.f32 x x))) x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 5 binary32)))) |
(/ -2 x) |
(/.f32 #s(literal -2 binary32) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -2 binary32) x) #s(literal -2 binary32)) x) |
(/ (- (* -1 (/ (+ 2 (* 14/3 (/ 1 x))) x)) 2) x) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -14/3 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) |
(/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 14/3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x) #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 (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal -2 binary32))) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) #s(literal 2 binary32))) x) |
-1 |
#s(literal -1 binary32) |
(* -1 (+ 1 (/ 1 x))) |
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal 1 binary32)) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) |
(* -1 (pow x 4)) |
(neg.f32 (pow.f32 x #s(literal 4 binary32))) |
(* -1 (* (pow x 4) (+ 1 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(- (/ 1 x) 1) |
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) |
(- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) |
(+.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(/ 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) x) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x) |
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) x) |
(* -1 (pow x 6)) |
(neg.f32 (pow.f32 x #s(literal 6 binary32))) |
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 6) (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1)) |
(*.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) x) x) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 7/3 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -7/3 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 7/3 (* 4 (/ 1 x))) x)) 1) x))) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 4 binary32) x) #s(literal -1 binary32) #s(literal -7/3 binary32)) x) #s(literal 1 binary32)) x)) (neg.f32 x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) |
(-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 x x)) (/.f32 #s(literal -1/5 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) x)) |
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal -2/3 binary32) (*.f32 x x)) (/.f32 #s(literal -2/5 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal -2 binary32)) x)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 14/3 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -14/3 binary32) x) #s(literal -2 binary32)) x) #s(literal -2 binary32)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 14/3 (* 8 (/ 1 x))) x)) 2) x))) x)) |
(/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 8 binary32) x) #s(literal 14/3 binary32)) x) #s(literal -1 binary32) #s(literal -2 binary32)) x)) (neg.f32 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 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal -2 binary32))) x) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal -2 binary32) x) x) #s(literal -2 binary32))) (neg.f32 x)) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32)) x) #s(literal 1 binary32)) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 x)) #s(literal 1 binary32)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)) |
(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) #s(literal -1 binary32)) x) x) #s(literal 1 binary32)) (neg.f32 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))) (neg.f32 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 477 |
| 0 | 111 | 466 |
| 1 | 398 | 436 |
| 2 | 3477 | 377 |
| 0 | 9761 | 377 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
(*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) |
#s(approx (- 1 x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32))) |
(*.f32 x #s(literal 4 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) |
(-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) |
(/.f32 x (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) |
(-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
(log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) |
#s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 x #s(literal 1 binary32)) x) |
#s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
#s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) |
(fma.f32 x x x) |
(log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x)))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
(*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x) |
(*.f32 x #s(approx (- 1 x) #s(literal 1 binary32))) |
#s(approx (- 1 x) #s(literal 1 binary32)) |
(*.f32 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 4 binary32) x)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 4 binary32) x))) |
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 4 binary32) x)) |
(*.f32 #s(literal 4 binary32) x) |
(*.f32 x #s(literal 4 binary32)) |
(log.f32 (sqrt.f32 (-.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(*.f32 (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(+.f32 (log.f32 (pow.f32 (-.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 1/4 binary32))) (log.f32 (pow.f32 (-.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 1/4 binary32)))) |
(log.f32 (-.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (+.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 2 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))) #s(literal 1 binary32)))) |
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(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 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) x)) #s(literal 2 binary32)))))) |
(-.f32 (log.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 2 binary32)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 3 binary32))) (log.f32 (fma.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))))) |
(-.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 3 binary32))) (log1p.f32 (*.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) |
Compiled 21 117 to 2 652 computations (87.4% saved)
28 alts after pruning (19 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 474 | 10 | 484 |
| Fresh | 2 | 9 | 11 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 476 | 28 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| 22.5% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) | |
| 22.6% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))) | |
| 1.1% | (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 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) x)) #s(literal 2 binary32))))))) | |
| 66.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x x) x x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) | |
| 95.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))))) | |
| 13.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) | |
| ✓ | 13.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
| ✓ | 96.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| 14.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 #s(approx (/ x (- 1 (* x x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x))) (-.f32 #s(literal 1 binary32) x))))) | |
| 94.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) | |
| 94.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) | |
| ✓ | 91.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
| 91.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))) | |
| 95.2% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) #s(approx (* (- x 1) x) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) x)))))) | |
| ✓ | 26.1% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
| 26.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) | |
| 24.9% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) | |
| 28.5% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) | |
| 93.3% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (fma.f32 x x x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) | |
| ✓ | 3.4% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
| 90.8% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) | |
| 96.6% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32)))))) | |
| ✓ | 93.0% | (*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
| 7.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 #s(literal 4 binary32) (*.f32 x x) (*.f32 #s(literal -2 binary32) x)))) | |
| 7.6% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal -2 binary32) x)))) | |
| ✓ | 28.2% | (*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
| ✓ | 93.0% | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
| ✓ | 96.6% | #s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
Compiled 2 081 to 824 computations (60.4% saved)
Total -30.9b remaining (-2826.1%)
Threshold costs -30.9b (-2826.1%)
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))) |
(*.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 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 4 binary32)))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal -2 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (fma.f32 #s(literal 4 binary32) (*.f32 x x) (*.f32 #s(literal -2 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (* (+ (* (- 1 x) x) 1) (* 2 (/ x (- 1 (pow x 3))))))) (*.f32 (fma.f32 (-.f32 (*.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))) |
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 7/3 binary32) x) #s(literal 1 binary32)) x) #s(literal -1 binary32) #s(literal -1 binary32)) x)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (fma.f32 x x x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(*.f32 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (+.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32)) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (fma.f32 (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) x (*.f32 x #s(literal 2 binary32)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 x (-.f32 x #s(literal 1 binary32))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (* (/ (neg x) (- 1 (pow x 4))) (+ (* x x) 1)) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) #s(approx (* (- x 1) x) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x) (/.f32 x (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 #s(approx (/ x (- 1 x)) (+.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))) |
(*.f32 (log1p.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x x) x x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 x #s(literal 1 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (neg.f32 #s(approx (/ x (- 1 (* x x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x #s(literal 1 binary32)) x))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) #s(approx (* (neg (/ x (- 1 (* x x)))) (- 1 x)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 #s(approx (neg (/ x (- 1 (* x x)))) (*.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1 binary32)) x)) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (*.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (fma.f32 x x x) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 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) 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) (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 #s(literal 1/2 binary32) (log1p.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (+.f32 (/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32)))))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) |
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))))) |
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
4 calls:
| 14.0ms | (*.f32 #s(literal 1/2 binary32) (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 |
| 11.0ms | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | x |
| 96.6% | 1 | (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) |
| 96.6% | 1 | (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) |
| 96.6% | 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 | 16 | 30 |
| 1 | 32 | 30 |
| 2 | 72 | 30 |
| 3 | 130 | 30 |
| 4 | 192 | 30 |
| 5 | 231 | 30 |
| 6 | 246 | 30 |
| 7 | 248 | 30 |
| 8 | 250 | 30 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
| Outputs |
|---|
#s(approx (* 1/2 (log (+ 1 (+ (* (/ x (- 1 (* x x))) (- 1 x)) (/ x (- 1 x)))))) (*.f32 #s(approx (- 1 x) #s(literal 1 binary32)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 15 | 28 |
| 1 | 53 | 28 |
| 2 | 329 | 28 |
| 3 | 4555 | 28 |
| 0 | 8472 | 28 |
| 0 | 322 | 1202 |
| 1 | 1130 | 1159 |
| 2 | 3825 | 1132 |
| 0 | 8848 | 1081 |
| 0 | 448 | 1585 |
| 1 | 1583 | 1513 |
| 2 | 5371 | 1500 |
| 0 | 8158 | 1435 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 61 to 37 computations (39.3% saved)
Compiled 80 to 52 computations (35% saved)
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